The DOI matches its Crossref record; 50 of the 50 references it cites were found in a registry or an index; 3 of the 11 sources its claims cite were checked for support.
Strain-induced pseudomagnetic field and photonic Landau levels in dielectric structures
Open accessAbstract
By properly structuring a dielectric lattice, it is possible to induce a pseudomagnetic field at optical frequencies in a photonic lattice, where the propagation dynamics is equivalent to the evolution of an electronic wavepacket in graphene.
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The cited sources that could be checked couldn’t confirm or dispute this claim.
In the paper
“It has been shown for graphene that for wavepackets that lie near a Dirac point, straining the system is mathematically equivalent to introducing magnetic fields 3 .”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
What the sources say
- Could not verifycites [3] Hafezi, M., Demler, E. A., Lukin, M. D. & Taylor, J. M. Robust optical delay lines with topological protection. Nature Phys. 7, 907–912 (2011). sourceExperimental — accuracy not yet measured
The 2D Photonic System and Quantum Spin Hall Hamiltonian section (pp. 1–3) describes synthetic magnetic fields produced by phases in coupled optical resonators, not by straining graphene. Searches for graphene, strain, and Dirac points found no passage addressing the claimed equivalence for wavepackets near a Dirac point. (LLM, conf=0.76)
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In the paper
“€ β = ±ω N € N = 0,1,2,... € ω = 3 Bc 0 a /2”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
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In the paper
“We show experimentally and numerically that the gaps between these Landau levels give rise to transverse confinement of the optical modes.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
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In the paper
“In the present work, we demonstrate the existence of pseudomagnetism in such photonic lattices by virtue of the inhomogeneous strain.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
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In the paper
“Here, we show experimentally and theoretically that, by properly structuring a dielectric lattice, it is possible to induce a pseudomagnetic field at optical frequencies in a photonic lattice, where the propagation dynamics is equivalent to the evolution of an electronic wavepacket in graphene.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesA result the paper reports from its own data — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“Note that the numerically calculated positions of the Landau levels coincide exactly with the analytically predicted values (which assume that the states at the vicinity of the Dirac point obey the Dirac equation).”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passes- The authors state this as an assumption: The states at the vicinity of the Dirac point obey the Dirac equation.
The paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“The induced field gives rise to multiple photonic Landau levels (singularities in the density of states) separated by band gaps.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIn the paper
“Furthermore, the strain introduces edge states that are normally associated with the zig-zag and bearded edges 31 at .”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
What the sources say
- Not checked — no full text of the sourcecites [31] Kohmoto, M. & Hasegawa, Y. Zero modes and edge states of the honeycomb lattice. Phys. Rev. B 76, 205402 (2007). source
Strength:plain· not yet calibratedCausal:correlational· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes? Load-bearing: unclear✓ Based: passesThe paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“As a result, some of the Landau level eigenstates have significant power residing on the armchair edges of the sample.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Strength:plain· not yet calibratedCausal:correlational· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes? Load-bearing: unclear✓ Based: passesThe paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“In the paper, we claim that by launching light in a single waveguide on the armchair edge of the strained photonic lattice, we only excite modes within the Dirac region.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 3: Coupled-mode theory analysis: exciting single waveguides on armchair edge excites modes entirely within the Dirac region
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes? Based: unclear- The authors state this as an assumption: In coupled-mode theory, the continuum wavefunction ψ(x,y,z) can be written as the sum of waveguide modes centered on each waveguide.
The paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“Furthermore, we have confirmed that next-nearest-neighbor hopping terms are negligible compared to nearest-neighbor terms.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 2: Calculating guided eigenmodes of femtosecond-written waveguides
Load-bearingStrength:boosted· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passes- The authors state this as an assumption: In coupled-mode theory, the continuum wavefunction ψ(x,y,z) can be written as the sum of waveguide modes centered on each waveguide.
A result the paper reports from its own data — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“In the unstrained system, the total fraction of power that resides in eigenstates in the Dirac region is 9%.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 3: Coupled-mode theory analysis: exciting single waveguides on armchair edge excites modes entirely within the Dirac region
Strength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes? Load-bearing: unclear✓ Based: passes- The authors state this as an assumption: In coupled-mode theory, the continuum wavefunction ψ(x,y,z) can be written as the sum of waveguide modes centered on each waveguide.
A result the paper reports from its own data — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“We find that for increasing strain, a monotonically increasing fraction of the projected power resides in the Dirac region.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 3: Coupled-mode theory analysis: exciting single waveguides on armchair edge excites modes entirely within the Dirac region
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passes- The authors state this as an assumption: In coupled-mode theory, the continuum wavefunction ψ(x,y,z) can be written as the sum of waveguide modes centered on each waveguide.
A result the paper reports from its own data — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“As we show in that figure, if the defect waveguide has a refractive index that is either slightly higher or slightly lower than the rest of the waveguides in the array, this leads to spreading into the bulk.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 2: Calculating guided eigenmodes of femtosecond-written waveguides
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passes- The authors state this as an assumption: In coupled-mode theory, the continuum wavefunction ψ(x,y,z) can be written as the sum of waveguide modes centered on each waveguide.
The paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“(g) Once the defect mode is very strong (! !/! != 4) it becomes a defect mode outside of the band and therefore in another band gap.As a result, it becomes localized again.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Strength:plain· not yet calibratedCausal:direct· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes? Load-bearing: unclear✓ Based: passesThe paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“The Landau levels reside at the center of the spectrum, where the Dirac cones lie in the unstrained lattice.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesThe paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“(g) Once the defect mode is very strong (! !/! != 4) it becomes a defect mode outside of the band and therefore in another band gap.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Strength:plain· not yet calibratedCausal:direct· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes? Load-bearing: unclear✓ Based: passesThe paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“As a result, coupling with the bulk bands causes some spreading.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
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In the paper
“However, in the strained system (with a strain given by c=0.0015a -1 , the same as that considered in Fig. 2), 55% of the power resides in the Dirac region.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 3: Coupled-mode theory analysis: exciting single waveguides on armchair edge excites modes entirely within the Dirac region
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passes- The authors state this as an assumption: In coupled-mode theory, the continuum wavefunction ψ(x,y,z) can be written as the sum of waveguide modes centered on each waveguide.
A result the paper reports from its own data — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“(d) Larger defect strengths (! !/! != -2) causes more spreading of the light into the photonic lattice.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesA result the paper reports from its own data — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“Indeed, without the strain, the power is spread quite evenly over all eigenmodes, and the relatively low amount of power in the Dirac region is a result of the relatively low density-of-states there.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 3: Coupled-mode theory analysis: exciting single waveguides on armchair edge excites modes entirely within the Dirac region
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passes- The authors state this as an assumption: In coupled-mode theory, the continuum wavefunction ψ(x,y,z) can be written as the sum of waveguide modes centered on each waveguide.
The paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“no light is confined to the edge and it diffracts into the bulk.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Load-bearingStrength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesA result the paper reports from its own data — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“Furthermore, the light that is incident on the armchair edge excites modes that are within gaps between Landau levels, and those in the zeroth level.”
- Also stated in: § Section 3: Coupled-mode theory analysis: exciting single waveguides on armchair edge excites modes entirely within the Dirac region · hedged
“It is clear from Fig. S2 that the power projected on the eigenmodes resides in modes in between Landau levels and to some extent in the zeroth Landau level, as described in the paper.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 3: Coupled-mode theory analysis: exciting single waveguides on armchair edge excites modes entirely within the Dirac region
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passes- The authors state this as an assumption: In coupled-mode theory, the continuum wavefunction ψ(x,y,z) can be written as the sum of waveguide modes centered on each waveguide.
- Also stated in: § Section 3: Coupled-mode theory analysis: exciting single waveguides on armchair edge excites modes entirely within the Dirac region · hedged
A result the paper reports from its own data — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“(e) A mildly positive defect (! !/! != 0.5) also causes some spreading, as in (c).”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Strength:plain· not yet calibratedCausal:direct· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes? Load-bearing: unclear✓ Based: passesThe paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“Taken together, the fact that the negative and positive defects both lead to spreading proves conclusively that the gap, in between the straininduced Landau levels, lies at the center of the band.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
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In the paper
“(b) The Dirac cone splits into Landau levels, with !!!= ±√!where N=0,1,2,…, upon straining the system as described in the text.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesThe paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“Light becomes highly confined on the edge with increasing strain.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesA result the paper reports from its own data — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“Furthermore, the light that is incident on the armchair edge excites modes that are within gaps between Landau levels, and those in the zeroth level.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 3: Coupled-mode theory analysis: exciting single waveguides on armchair edge excites modes entirely within the Dirac region
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passes- The authors state this as an assumption: In coupled-mode theory, the continuum wavefunction ψ(x,y,z) can be written as the sum of waveguide modes centered on each waveguide.
The paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“This yields both the guided mode of the waveguide (in the present work the waveguides are designed to be singlemoded), as well as the propagation constant of the mode (which is the eigenvalue of the operator defined on the left-hand side of Eq. ( S2)).”
- Also stated in: § Section 2: Calculating guided eigenmodes of femtosecond-written waveguides · plain
“In Fig. S1 we show the structure of an eigenmode of a single waveguide, as calculated using the plane-wave expansion method.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 2: Calculating guided eigenmodes of femtosecond-written waveguides
Strength:plain· not yet calibratedCausal:direct· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes? Load-bearing: unclear✓ Based: passes- Also stated in: § Section 2: Calculating guided eigenmodes of femtosecond-written waveguides · plain
A result the paper reports from its own data — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“The light is confined as a result of the gaps between the Landau levels, as described in the text and as shown in Fig. 3.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
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In the paper
“here -in the presence of the pseudomanetic field -the light escapes from the defect waveguide.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 2: Calculating guided eigenmodes of femtosecond-written waveguides
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passes- The authors state this as an assumption: In coupled-mode theory, the continuum wavefunction ψ(x,y,z) can be written as the sum of waveguide modes centered on each waveguide.
A conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“This band structure of the propagation constant is similar to that of electrons in graphene.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesA conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“It exhibits pseudomagnetic effects as a result of the inhomogeneous strain applied to it, which make it aperiodic.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIn the paper
“The introduction of Landau levels provides a new mechanism, only achievable in aperiodic systems, to achieve very high degeneracies (as opposed to the van Hove mechanism typical of photonic crystals, and associated with band edges 32 ).”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
What the sources say
- Not checked — no full text of the sourcecites [32] Lodahl, P. et al. Controlling the dynamics of spontaneous emission from quantum dots by photonic crystals. Nature 430, 654–657 (2004). source
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesThe paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“Equation ( 1) is mathematically equivalent to the Schrodinger equation for graphene in the tight-binding limit, where the propagation distance, z replaces time, t.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Load-bearingStrength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passes- The authors state this as an assumption: In Eq. (1), the waveguides are sufficiently distant from one another that only nearest-neighbor coupling needs to be incorporated.
- The authors state this as an assumption: Each of the waveguides supports only a single mode.
In the paper
“Importantly, this input waveguide resides on the armchair edge of the honeycomb lattice, which has no localized states associated with it 31 .”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
What the sources say
- Not checked — no full text of the sourcecites [31] Kohmoto, M. & Hasegawa, Y. Zero modes and edge states of the honeycomb lattice. Phys. Rev. B 76, 205402 (2007). source
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesThe paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“Note that the expressions for the pseudomagnetic field in graphene and a honeycomb photonic lattice are identical, if we choose units such that .”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Load-bearingStrength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesA conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“To our knowledge, this is the first realization of a pseudomagnetic field in optics.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Load-bearingStrength:hedged· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesA conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“In this vein, if the waveguides in our honeycomb photonic lattice are transversely displaced from their original positions in the following way, then a constant magnetic field is achieved:”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIn the paper
“In particular, engineering a certain inhomogeneous strain corresponding to a constant magnetic field gives rise to Landau levels separated by gaps 10 .”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
What the sources say
- Not checked — no full text of the sourcecites [10] Bahat-Treidel, O., Peleg, O. & Segev, M. Symmetry breaking in honeycomb photonic lattices. Opt. Lett. 33, 2251–2253 (2008). source
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesA conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“The transverse wavefunction of the light that emerges from the lattice is therefore equivalent to a finite-time evolution of an electron wavepacket in graphene.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesA conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“Thus, exciting the armchair edge for large values of the strain entirely confines light to being in the Dirac region of the spectrum.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 3: Coupled-mode theory analysis: exciting single waveguides on armchair edge excites modes entirely within the Dirac region
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passes- The authors state this as an assumption: In coupled-mode theory, the continuum wavefunction ψ(x,y,z) can be written as the sum of waveguide modes centered on each waveguide.
A conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“The unstrained lattice consists of only armchair edges, and therefore has no edge states associated with it whatsoever.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 3: Coupled-mode theory analysis: exciting single waveguides on armchair edge excites modes entirely within the Dirac region
Load-bearingStrength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesA conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“These results, taken together, situate the excitation of the defect-free case (! !/! != 0) within the Landau level gaps.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesA conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“Due to the lack of edge states on the armchair edge, no light is confined to the edge and it diffracts into the bulk.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passes- Rests on an assumption: The armchair edge has no edge states.
A conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“Since the unstrained honeycomb lattice does not have edge states on the armchair edge, light starting on that edge immediately spreads away from it into the bulk.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesA conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“As a result, coupling with the bulk bands causes some spreading.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes? Load-bearing: unclear✓ Based: passesA conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“(f) A stronger positive defect (! !/! != 2) causes greater spreading (as in (d)) as a result of strong coupling to the bulk bands.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesA conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“Notably, the modes in the zeroth Landau level result from distortions of the armchair edge, and their features resemble those of the edge states of the zig-zag or bearded edges.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 3: Coupled-mode theory analysis: exciting single waveguides on armchair edge excites modes entirely within the Dirac region
Strength:plain· not yet calibratedCausal:correlational· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes? Load-bearing: unclear✓ Based: passes- The authors state this as an assumption: In coupled-mode theory, the continuum wavefunction ψ(x,y,z) can be written as the sum of waveguide modes centered on each waveguide.
A conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“The light is confined as a result of the gaps between the Landau levels, as described in the text and as shown in Fig. 3.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesA conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“Indeed, without the strain, the power is spread quite evenly over all eigenmodes, and the relatively low amount of power in the Dirac region is a result of the relatively low density-of-states there.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 3: Coupled-mode theory analysis: exciting single waveguides on armchair edge excites modes entirely within the Dirac region
Strength:plain· not yet calibratedCausal:direct· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes? Load-bearing: unclear✓ Based: passes- The authors state this as an assumption: In coupled-mode theory, the continuum wavefunction ψ(x,y,z) can be written as the sum of waveguide modes centered on each waveguide.
A conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“(g) Once the defect mode is very strong (! !/! != 4) it becomes a defect mode outside of the band and therefore in another band gap.As a result, it becomes localized again.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesA conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“Figure: greater field-enhancement and slow-light effects than periodic structures via the high density-of-states at Landau levels.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 3: Coupled-mode theory analysis: exciting single waveguides on armchair edge excites modes entirely within the Dirac region
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes? Based: unclearA conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“Notably, the modes in the zeroth Landau level result from distortions of the armchair edge, and their features resemble those of the edge states of the zig-zag or bearded edges.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 3: Coupled-mode theory analysis: exciting single waveguides on armchair edge excites modes entirely within the Dirac region
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passes- The authors state this as an assumption: In coupled-mode theory, the continuum wavefunction ψ(x,y,z) can be written as the sum of waveguide modes centered on each waveguide.
A conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“This is strong evidence of the existence of the band gaps that lie in between the Landau levels.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIn the paper
“Since the honeycomb edge states are necessarily degenerate 35 , i.e., they all possess the same propagation constant, a wavepacket (beam) made up of a superposition of such states will not spread.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
What the sources say
- Not checked — no full text of the sourcecites [35] Akhmerov, A. R. & Beenakker, C. W. J. Boundary conditions for Dirac fermions on a terminated honeycomb lattice. Phys. Rev. B 77, 085423 (2008). source
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passes
- Probably not a substantial claim. 7
- It may state two separate claims as one. 21
- The quote only partly states this claim. 3
The cited sources that could be checked couldn’t confirm or dispute this claim.
In the paper
“In graphene, however, it has been shown that inhomogeneous strains can induce 'pseudomagnetic fields' that behave very similarly to real fields 3 .”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
What the sources say
- Could not verifycites [3] Hafezi, M., Demler, E. A., Lukin, M. D. & Taylor, J. M. Robust optical delay lines with topological protection. Nature Phys. 7, 907–912 (2011). sourceExperimental — accuracy not yet measured
The 2D Photonic System and Quantum Spin Hall Hamiltonian section (pp. 1, 3) describes synthetic magnetic fields in coupled optical resonators. Searches for graphene, inhomogeneous strain, and strain-induced pseudomagnetic fields found no passage in our copy addressing the claim. (LLM, conf=0.76)
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesProbably not a substantial claim.
- Could not verify
The cited sources that could be checked couldn’t confirm or dispute this claim.
In the paper
“More than a decade ago, Kane and Mele 3 showed that inhomogeneously strained graphene (a honeycomb lattice of carbon atoms) results in similar physical behavior as adding an external magnetic field.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
What the sources say
- Could not verifycites [3] Hafezi, M., Demler, E. A., Lukin, M. D. & Taylor, J. M. Robust optical delay lines with topological protection. Nature Phys. 7, 907–912 (2011). sourceExperimental — accuracy not yet measured
The 2D Photonic System and Quantum Spin Hall Hamiltonian section (pp. 1, 3) describes synthetic magnetic fields in coupled optical resonators, not strain in graphene. Searches for Kane and Mele, inhomogeneously strained graphene, and strain-induced magnetic behavior found no passage in our copy addressing the attributed claim. (LLM, conf=0.76)
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesProbably not a substantial claim.
- Could not verify
The paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“The unstrained system has only armchair-type edges, no zig-zag or bearded edges.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Load-bearingStrength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
The paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“When the system is properly strained, the states within the Dirac cone split up into highly degenerate Landau levels, with band gaps lying in between them (Fig. 2b).”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
A result the paper reports from its own data — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“In Fig. 2d, we see that the strain clearly induces kinks in the spectrum that correspond to values of the propagation constant in which many eigenstates reside: these are the Landau levels; their propagation constants may be calculated, as described above, to be .”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one. The quote only partly states this claim.
A result the paper reports from its own data — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“The states in between the levels are localized solely on the edges of the lattice, i.e., these are strictly edge states that are not present in the limit of infinite system size.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Load-bearingStrength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
In the paper
“As was mentioned previously, the strained armchair edge does have edge states associated with it, all lying at propagation constant 31 , like the zig-zag and bearded edge states.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
What the sources say
- Not checked — no full text of the sourcecites [31] Kohmoto, M. & Hasegawa, Y. Zero modes and edge states of the honeycomb lattice. Phys. Rev. B 76, 205402 (2007). source
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesThe quote only partly states this claim.
The paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“in the present work the waveguides are designed to be singlemoded”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 2: Calculating guided eigenmodes of femtosecond-written waveguides
Load-bearingStrength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✗ Based: failsProbably not a substantial claim. The paper may give no reason why it holds.
The paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“Note that despite the anisotropy of the waveguide itself, the mode associated with the waveguide is quite isotropic and so the anisotropy of the coupling is negligible.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 2: Calculating guided eigenmodes of femtosecond-written waveguides
Strength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✗ Load-bearing: fails✗ Based: failsProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds. It may state two separate claims as one.
- The authors state this as an assumption: In coupled-mode theory, the continuum wavefunction ψ(x,y,z) can be written as the sum of waveguide modes centered on each waveguide.
A result the paper reports from its own data — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“Note that the first and second bands intersect at the Dirac cones (one of which is indicated by an arrow), which reside at the vertices of the Brillouin zone.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
The paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“For sufficiently large strain, light is confined to the edge when the states excited are in a bulk band gap, and thus the light attempting to tunnel from the excited edge waveguide cannot penetrate into the bulk.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
The paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“(f) A stronger positive defect (! !/! != 2) causes greater spreading (as in (d)) as a result of strong coupling to the bulk bands.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Strength:plain· not yet calibratedCausal:direct· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes? Load-bearing: unclear✓ Based: passesIt may state two separate claims as one.
A result the paper reports from its own data — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“Clear Landau levels emerge in the spectrum as a result of the strain (labeled 'LL'), with edge states lying in between them.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
The paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“In this way, we obtain a value of c 0 = 1.9×10 !! !! !! .”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 2: Calculating guided eigenmodes of femtosecond-written waveguides
Strength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes? Load-bearing: unclear✓ Based: passesThe quote only partly states this claim.
- The authors state this as an assumption: In coupled-mode theory, the continuum wavefunction ψ(x,y,z) can be written as the sum of waveguide modes centered on each waveguide.
A result the paper reports from its own data — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“The spatial spectrum of the eigenmodes is shown in blue as a guide to the eye of where the Landau levels (as well as the edge states in between them) reside.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 3: Coupled-mode theory analysis: exciting single waveguides on armchair edge excites modes entirely within the Dirac region
Strength:plain· not yet calibratedCausal:correlational· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✗ Load-bearing: fails✓ Based: passesProbably not a substantial claim. The paper’s conclusions may not depend on it.
The paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“As the degree of strain, q, is increased, the light becomes more and more localized on the armchair edge, remaining largely within the same waveguide where it was launched (right column, middle and bottom rows).”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
The paper states this without a source or data behind it here, so there is nothing to check it against. The quote shows it is in the paper.
In the paper
“unlike what is happening in an unstrained lattice -where light launched into a defect waveguide remains in that waveguide throughout propagation”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Section 2: Calculating guided eigenmodes of femtosecond-written waveguides
Load-bearingStrength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✗ Based: failsProbably not a substantial claim. The paper may give no reason why it holds.
- The authors state this as an assumption: In coupled-mode theory, the continuum wavefunction ψ(x,y,z) can be written as the sum of waveguide modes centered on each waveguide.
A conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“The pseudomagnetism, while not breaking timereversal symmetry, leads to the generation of discrete Landau levels in the spatial spectrum, which are impossible in a periodic structure.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
A conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“Note that this is an accurate description of the band structure only in the Dirac regions.Outside the Dirac regions, the eigenstates form a continuous band and cannot be described by the pseudomagnetic field.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Load-bearingStrength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
In the paper
“This is because half of the Dirac cones exhibit pseudomagnetic fields in the +z direction, while the other half are in the -z direction 23 .”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
What the sources say
- Not checked — no full text of the sourcecites [23] Malkova, N., Hromada, I., Wang, X., Bryant, G. & Chen, Z. Observation of optical Shockley-like surface states in photonic superlattices. Opt. Lett. 34, 1633–1635 (2009). source
Load-bearingStrength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
In the paper
“By choosing a particular form of the strain tensor , it was demonstrated in graphene 10 that a vector potential corresponding to a constant magnetic field could be achieved, along with a total absence of electric field.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
What the sources say
- Not checked — no full text of the sourcecites [10] Bahat-Treidel, O., Peleg, O. & Segev, M. Symmetry breaking in honeycomb photonic lattices. Opt. Lett. 33, 2251–2253 (2008). source
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
A conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“If a piece of graphene were strained to this extent, it would yield a magnetic field of 5500T.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Strength:hedged· not yet calibratedCausal:direct· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes✗ Load-bearing: fails✗ Based: failsProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
A conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“Note that the induced pseudomagnetic field does not break z-reversal invariance, just like a pseudomagnetic field in atomic graphene does not break time-reversal symmetry.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Strength:plain· not yet calibratedTests✓ Asserted: passes✓ Checkable: passes? Load-bearing: unclear✓ Based: passesIt may state two separate claims as one.
A conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“In contradistinction with these, the structure we propose here -a strained honeycomb photonic lattice --contains no metals and is non-resonant, and is therefore loss-free.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
A conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“The spacing of these Landau levels is unique to honeycomb structures, and is strongly affected by the conical dispersion at the vicinity of the Dirac cones.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
A conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“In summary, the strain leads to confinement for two reasons: (1) the initial beam excites states in the gap between Landau levels, which are confined to the edge; and (2) the initial beams excite degenerate edge states in the zeroth Landau level which cannot cause diffraction due to their degeneracy.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
A conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“Outside the band, the state resides in a band gap (although not one induced by the strain), and thus cannot overlap with any modes that spread throughout the bulk of the photonic lattice.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
A conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“Therefore, despite the fact that these edge states are degenerate with the zeroth Landau level and are resonantly coupled to bulk states, they do not couple into the bulk, and the light is therefore confined on the edge.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
A conclusion the paper draws from its own results — it cites no other source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“As described in the text, this results from the fact that the eigenstates excited by the incoming light are either in a band gap between Landau levels (and therefore cannot penetrate into the bulk), or are degenerate states in the zeroth Landau level, also resulting in edge confinement.”
§ Strain-induced pseudomagnetic field and Landau levels in photonic structures > Abstract
Tests✓ Asserted: passes✓ Checkable: passes✓ Load-bearing: passes✓ Based: passesIt may state two separate claims as one.
The authors state this as an assumption.
In Eq. (1), the waveguides are sufficiently distant from one another that only nearest-neighbor coupling needs to be incorporated.
“For simplicity, in Eq. ( 1) we assume that the waveguides are sufficiently distant from one another, such that it is only necessary to incorporate nearestneighbor coupling.”
The authors state this as an assumption.
Each of the waveguides supports only a single mode.
“Furthermore, it is assumed that each of the waveguides supports only a single mode.”
The authors state this as an assumption.
The states at the vicinity of the Dirac point obey the Dirac equation.
“Note that the numerically calculated positions of the Landau levels coincide exactly with the analytically predicted values (which assume that the states at the vicinity of the Dirac point obey the Dirac equation).”
The paper relies on this without support.
The armchair edge has no edge states.
“This waveguide resides at the armchair edge, which has no edge states.”
“Due to the lack of edge states on the armchair edge, no light is confined to the edge and it diffracts into the bulk.”
The authors state this as an assumption.
The dielectric structure of the femtosecond-written waveguides can be described by a hypergaussian function.
“Its dielectric structure can be described as a hypergaussian function:”
The authors state this as an assumption.
In coupled-mode theory, the continuum wavefunction ψ(x,y,z) can be written as the sum of waveguide modes centered on each waveguide.
“In coupled-mode theory, we assume that the continuum wavefunction !!, !, !can be written as the sum of waveguide modes centered on each waveguide.”
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The source backs part of the claim, not all of it — or backs it for a different population, condition or comparison.
In the citing paper
“This was observed in numerical tight-binding calculations and experimentally via the localization of a wave packet on the edge of a strained lattice (Rechtsman, Zeuner, Tünnermann et al., 2013), attesting to both the presence of flat Landau bands and states localized at the edge emerging from the gauge field.”
From Topological photonics (2019) · cites this paper as Rechtsman, Zeuner, Tünnermann et al., 2013
Experimental — accuracy not yet measuredThe cited source says what the claim attributes to it.
In the citing paper
“We note that our vortex generation and topological charge flipping is achieved by exciting the two sublattices at the same K valley (see Fig. 3) in a uniform (non-strained) HCL, thus no pseudomagnetic field is involved 22 .”
From Unveiling pseudospin and angular momentum in photonic graphene (2015) · cites this paper as [22]
The cited source says what the claim attributes to it.
In the citing paper
“Recently, varieties of artificial systems have enabled the imitation and exploration of graphene and Dirac cones using the honeycomb structure with controllable parameters and observables [10-25] beyond traditional graphene itself where those are not easily accessible.”
From Observing movement of Dirac cones from single-photon dynamics (2021) · cites this paper as [14]
The cited source says what the claim attributes to it.
In the citing paper
“This precise idea was implemented by Rechtsman, Zeuner, Tünnermann et al. (2013) in a lattice of coupled waveguides by continuously varying their separation (i.e., the nearestneighbor photon hopping) following the above-mentioned strain configuration.”
From Topological photonics (2019) · cites this paper as Rechtsman, Zeuner, Tünnermann et al. (2013)
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
Each contradiction between two passages listed here was confirmed by an independent check.
Eigenvalue ordering is described in opposite directions
MinorThe text says the eigenvalues in Figures 2c and 2d are plotted in descending order, while the Figure 2 caption describes the plotted eigenvalues as ascending.
“we plot the values of (i.e., the spatial spectrum) in the Dirac region for an unstrained and a strained lattice, in descending order, in Figs.2c and 2d.”
“(c) The numerically-computed eigenvalues plotted in ascending order in the region near the Dirac point for the unstrained lattice.”
Citations
Cites
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Electrodynamics of continuous media
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Resonance Absorption by Nuclear Magnetic Moments in a Solid
Purcell, E. M., Torrey, H. C., & Pound, R. V. (1946) · Physical Review · doi:10.1103/physrev.69.37 · Cited by 6,259
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Self-citationObservation of unidirectional backscattering-immune topological electromagnetic states
Wang, Z., Chong, Y., Joannopoulos, J. D., & Soljačić, M. (2009) · Nature · doi:10.1038/nature08293 · Cited by 3,123
Endlessly single-mode photonic crystal fiber
Birks, T. A., Knight, J. C., & Russell, P. S. J. (1997) · Optics Letters · doi:10.1364/ol.22.000961 · Cited by 2,807
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Observation of P T -Symmetry Breaking in Complex Optical Potentials
Guo, A., Salamo, G. J., Duchesne, D., Morandotti, R., Volatier, M., Aimez, V., Siviloglou, G. A., & Christodoulides, D. N. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.093902 · Cited by 2,723
Beam Dynamics in P T Symmetric Optical Lattices
Makris, K. G., El‐Ganainy, R., Christodoulides, D. N., & Musslimani, Z. H. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.103904 · Cited by 2,046
Energy gaps and a zero-field quantum Hall effect in graphene by strain engineering
Guinea, F., Katsnelson, M. I., & Geim, A. K. (2010) · Nature Physics · doi:10.1038/nphys1420 · Cited by 1,913
Flagged first, then by citations
Cited by
Sorted by citations
Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722
Self-citationLu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655
Photonic Floquet topological insulators
Rechtsman, M. C., Zeuner, J. M., Plotnik, Y., Lumer, Y., Podolsky, D., Dreisow, F., Nolte, S., Segev, M., & Szameit, A. (2013) · Nature · doi:10.1038/nature12066 · Cited by 3,332
Self-citationImaging topological edge states in silicon photonics
Hafezi, M., Mittal, S., Fan, J., Migdall, A., & Taylor, J. M. (2013) · Nature Photonics · doi:10.1038/nphoton.2013.274 · Cited by 1,715
Lodahl, P., Mahmoodian, S., Stobbe, S., Rauschenbeutel, A., Schneeweiß, P., Volz, J., Pichler, H., & Zoller, P. (2017) · Nature · doi:10.1038/nature21037 · Cited by 1,643
Metadata
- Authors
- Rechtsman, M. C., Zeuner, J. M., Tünnermann, A., Nolte, S., Segev, M., & Szameit, A.
- Affiliations
- Technion – Israel Institute of Technology (IL)
- Friedrich Schiller University Jena (DE)
- Corresponding author
- Rechtsman, Mikael C.
- Venue
- Nature Photonics
- Published
- 2012-12-09
- Volume
- 7
- Issue
- 2
- Pages
- 153-158
- ISSN
- 1749-4885 (ISSN-L)
- 1749-4893
- OpenAlex
- W2071086979
- Cited by
- 453
- References
- 47
- Citations by year
- 2026: 23 · 2025: 36 · 2024: 35 · 2023: 32 · 2022: 25 · 2021: 42 · 2020: 38 · 2019: 34 · 2018: 26 · 2017: 38 · 2016: 35 · 2015: 43 · 2014: 25 · 2013: 21
- FWCI
- 14.70
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Nature Photonics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft) (submittedVersion, other-oa)
- Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft) (submittedVersion)
- Fraunhofer-Publica (Fraunhofer-Gesellschaft) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Photonic Crystals and Applications
- Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Topological Materials and Phenomena
- Keywords
- photonic crystals, strain heterogeneity, slow light, field enhancement, magneto-optical effect, density of states
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
A language model drew the claims from the paper on 2026-10-10, under version 3 of the claim definition (model deepseek-v4.1-flash, prompt extract-v3).
A second model labelled each claim on 2026-10-10 (model jev-1.13-20260917, definition revision gold-guideline-v0.2).
Cited sources are checked with a language model’s help (gpt-6-sol).
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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