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Photonic Floquet topological insulators
Open accessAbstract
Topological insulators are a new phase of matter, with the striking property that conduction of electrons occurs only on their surfaces. In two dimensions, electrons on the surface of a topological insulator are not scattered despite defects and disorder, providing robustness akin to that of superconductors. Topological insulators are predicted to have wide-ranging applications in fault-tolerant quantum computing and spintronics. Substantial effort has been directed towards realizing topological insulators for electromagnetic waves. One-dimensional systems with topological edge states have been demonstrated, but these states are zero-dimensional and therefore exhibit no transport properties. Topological protection of microwaves has been observed using a mechanism similar to the quantum Hall effect, by placing a gyromagnetic photonic crystal in an external magnetic field. But because magnetic effects are very weak at optical frequencies, realizing photonic topological insulators with scatter-free edge states requires a fundamentally different mechanism—one that is free of magnetic fields. A number of proposals for photonic topological transport have been put forward recently. One suggested temporal modulation of a photonic crystal, thus breaking time-reversal symmetry and inducing one-way edge states. This is in the spirit of the proposed Floquet topological insulators, in which temporal variations in solid-state systems induce topological edge states. Here we propose and experimentally demonstrate a photonic topological insulator free of external fields and with scatter-free edge transport—a photonic lattice exhibiting topologically protected transport of visible light on the lattice edges. Our system is composed of an array of evanescently coupled helical waveguides arranged in a graphene-like honeycomb lattice. Paraxial diffraction of light is described by a Schrödinger equation where the propagation coordinate (z) acts as ‘time’. Thus the helicity of the waveguides breaks z-reversal symmetry as proposed for Floquet topological insulators. This structure results in one-way edge states that are topologically protected from scattering.
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TL;DR
The paper proposes and experimentally realizes a photonic Floquet topological insulator using helical waveguides in a honeycomb lattice, where a fictitious gauge field opens a band gap and creates one-way edge states without any external magnetic field. Light is shown to travel along lattice edges and around corners and defects without backscattering or scattering into the bulk.
Key findings
- A honeycomb array of helical waveguides exhibits a Floquet band gap at the Dirac points when the helix radius is nonzero; at R=0 the edge states are flat and degenerate, while at R=8 µm they acquire opposite slopes and support clockwise circulation with no counter-propagating edge states.
- Experiments at 633 nm over 10 cm propagation show light launched near a zig-zag edge moving around a corner onto an armchair edge without backscattering or bulk scattering; a missing waveguide defect is also bypassed without backscattering.
- The edge-state group velocity depends non-monotonically on helix radius: tight-binding theory predicts a maximum at R=10.3 µm, while experiments suggest the maximum lies between 6 µm and 10 µm; at R=16 µm the group velocity approaches zero and bending losses become large.
- The authors describe this as the first experimental photonic topological insulator requiring no external field and operating at optical frequencies.
Methods
- Fused-silica photonic lattices were fabricated by femtosecond direct laser writing, with elliptical waveguides of 11 µm and 3 µm diameters, nearest-neighbor spacing b=15 µm, lattice constant a=26 µm, refractive-index increase of 7×10⁻⁴, and 10 cm propagation length.
- Propagation was modeled with a paraxial Schrödinger-type equation; transforming to the helical frame produces a spatially uniform circular vector potential, and coupled-mode/tight-binding theory plus Floquet-Bloch analysis gives the band structure and edge-state dispersion.
- Experiments launched 633 nm beams into edge or corner waveguides of triangular lattices with varying helix radius R, including a lattice with a missing waveguide defect; output facet intensity was imaged and compared with beam-propagation-method simulations.
Limitations
- Stated in the paper: the experimental maximum group velocity is between 6 µm and 10 µm, whereas tight-binding theory gives 10.3 µm, which the authors attribute to experimental error; a small uncertainty in the coupling constant c(λ) causes simulations to advance slightly farther along the edge than experiments; at R=16 µm bending/radiation losses are large and couple power into free-space scattering modes.
- Evident from the text: the demonstration is classical, linear, single-wavelength, and limited to specific fabricated honeycomb geometries; the paper does not test nonlinear interactions, entangled photons, or a broad range of disorder types, and topological protection is inferred from absence of backscattering in the reported configurations.
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In the paper
“Here, we theoretically propose and experimentally demonstrate the first photonic topological insulator: a photonic lattice exhibiting topologically protected transport on the lattice edges, without the need for any external field.”
- Also stated in: § Abstract · boosted
“Here, we present the first photonic topological insulator.Namely, we experimentally demonstrate the topological protection of transport through photonic edge states in a honeycomb photonic lattice system 14,19 -24 (which has been referred to as”
§ Photonic Floquet Topological Insulators > Abstract
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- Rests on an assumption: The helical rotation is slow enough that a guided mode remains adiabatically bound to the rotating waveguide.
- Rests on an assumption: The paraxial Schrödinger equation accurately models light propagation in the waveguide array.
- Rests on an assumption: Nearest-neighbor coupling alone captures the waveguide interactions in the coupled-mode description.
- Also stated in: § Abstract · boosted
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 helical reference frame, propagation is described by an induced fictitious vector potential that is mathematically equivalent to a circularly-polarized, spatially-constant electromagnetic field, acting to break the chiral symmetry.”
§ Photonic Floquet Topological Insulators > Abstract
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- Rests on an assumption: The helical rotation is slow enough that a guided mode remains adiabatically bound to the rotating waveguide.
- Rests on an assumption: The paraxial Schrödinger equation accurately models light propagation in the waveguide array.
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
“These edge states reside strictly within the bulk band gap of the bulk lattice (drawn in black).”
§ Photonic Floquet Topological Insulators > Abstract
plain- Asserted: passes — The authors put it forward as true.
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- Rests on an assumption: The paraxial Schrödinger equation accurately models light propagation in the waveguide array.
- Rests on an assumption: Nearest-neighbor coupling alone captures the waveguide interactions in the coupled-mode description.
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 wavepacket is launched into the waveguide at the top-right corner (circled with yellow in Fig. 5), and it clearly propagates around the defect and continues forward without backscattering.”
- Also stated in: § Abstract · plain
“showing no backscattering despite the presence of the defect (a signature of topological protection)”
§ Photonic Floquet Topological Insulators > Abstract
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In the paper
“The presence of weak optical intensity in the bulk of the lattice arises from overlap of the initial launch beam with the bulk modes of the system.”
§ Photonic Floquet Topological Insulators > Abstract
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In the paper
“For radius R=12µm, the wavepacket moves along the edge, but with a slower group velocity”
§ Photonic Floquet Topological Insulators > Abstract
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In the paper
“Taken together, these data show the longitudinal progression of topologically protected modes as they travel along the edge of the lattice.”
§ Photonic Floquet Topological Insulators > Abstract
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In the paper
“The transverse group velocity of these edge states has a non-trivial dependence on the helical waveguide radius, R. For small R, the group velocity of the edge states increases, but eventually it reaches a maximum and decreases again.”
§ Photonic Floquet Topological Insulators > Abstract
plaindirect- Asserted: passes — The authors put it forward as true.
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- Load-bearing: unclear — It is unclear whether the paper’s conclusions depend on it.
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- Rests on an assumption: The paraxial Schrödinger equation accurately models light propagation in the waveguide array.
- Rests on an assumption: Nearest-neighbor coupling alone captures the waveguide interactions in the coupled-mode description.
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 maximum calculated group velocity is achieved at R=10.3µm.”
- Also stated in: § Abstract · plain
“The maximum occurs at R=10.3µm.”
§ Photonic Floquet Topological Insulators > Abstract
plaincorrelational- Asserted: passes — The authors put it forward as true.
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- Load-bearing: unclear — It is unclear whether the paper’s conclusions depend on it.
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- Rests on an assumption: The paraxial Schrödinger equation accurately models light propagation in the waveguide array.
- Rests on an assumption: Nearest-neighbor coupling alone captures the waveguide interactions in the coupled-mode description.
- Also stated in: § Abstract · plain
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 scattering of the edge state is prevented by topological protection.”
§ Photonic Floquet Topological Insulators > Abstract
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- It may state two separate claims as one. 16
- The quote only partly states this claim. 2
- Probably not a substantial claim. 7
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In the paper
“When the waveguides are made to spin in a clockwise direction around their axis, the edge states are no longer degenerate and have a preferred direction.In fact, the triangular photonic lattice now has a set of edge states that propagate only clockwise on the circumference of the entire triangle.As a result, light at the corner can no longer remain there, and moves along the edge in the clockwise”
§ Photonic Floquet Topological Insulators > Abstract
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In the paper
“The beam propagates along the top edge of the array (which is in the zig-zag configuration), hits the corner, and clearly moves down the vertical edge (which is in the armchair configuration).Note that the wavepacket shows no evidence of backscattering or bulk scattering due to its impact with the corner of the lattice.This scattering of the edge state is prevented by topological protection.”
§ Photonic Floquet Topological Insulators > Abstract
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In the paper
“while some light has diffracted into the bulk of the lattice, the majority remains at the corner waveguide into which the light was launched.”
§ Photonic Floquet Topological Insulators > Abstract
plaindirectSingle case- Asserted: passes — The authors put it forward as true.
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In the paper
“In this case the edge states are no longer degenerate with one another, but now have opposite slopes.Specifically, for this case of waveguides spinning in the clockwise direction, the group velocity on the top edge is directed to the right, and on the bottom edge to the left, corresponding to clockwise circulations.At the same time, there are no edge states whatsoever circulating in the counter-”
§ Photonic Floquet Topological Insulators > Abstract
plaindirectSingle case- Asserted: passes — The authors put it forward as true.
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It may state two separate claims as one. The quote only partly states this claim.
- Rests on an assumption: The paraxial Schrödinger equation accurately models light propagation in the waveguide array.
- Rests on an assumption: Nearest-neighbor coupling alone captures the waveguide interactions in the coupled-mode description.
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 wavepacket in the simulations has progressed slightly farther along the edge than that in the experimental results.This is a result of a small degree of uncertainty in the value of the coupling constant, c(λ).”
§ Photonic Floquet Topological Insulators > Abstract
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In the paper
“Plotted as a function of the transverse Bloch wavevector (k x ,k y ), the conical intersections between the first and second bands are the”
- Also stated in: § Abstract · plain
“As a result of these, the band structure is analogous to a metallic phase because there is no band gap.”
§ Photonic Floquet Topological Insulators > Abstract
What the sources say
- Not checked yetcites [28] Novoselov, K. S. et al. Two-dimensional gas of massless Dirac fermions in graphene. Nature 438, 197–200 (2005) source
plaindirect- Asserted: passes — The authors put it forward as true.
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It may state two separate claims as one.
- Rests on an assumption: The paraxial Schrödinger equation accurately models light propagation in the waveguide array.
- Rests on an assumption: Nearest-neighbor coupling alone captures the waveguide interactions in the coupled-mode description.
- Also stated in: § Abstract · 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
“By the point at which R = 16µm, the bending losses are large, leading to a leaking of optical power into scattering modes (which accounts for the large background signal).As shown in Fig. 4(j), the group velocity of the wavepacket approaches zero and therefore the optical power remains at the corner waveguide.”
§ Photonic Floquet Topological Insulators > Abstract
plaindirect- Asserted: passes — The authors put it forward as true.
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In the paper
“When the waveguides are made helical (R>0), a band gap in the Floquet spectrum opens, as shown in Fig. 1(d), and the photonic lattice becomes analogous to an insulator -indeed, to a Floquet topological insulator.”
§ Photonic Floquet Topological Insulators > Abstract
plaindirect- Asserted: passes — The authors put it forward as true.
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It may state two separate claims as one.
- Rests on an assumption: The paraxial Schrödinger equation accurately models light propagation in the waveguide array.
- Rests on an assumption: Nearest-neighbor coupling alone captures the waveguide interactions in the coupled-mode description.
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
“There are two sets of states residing on the zig-zag edge -one set per edge.Their dispersion curves are entirely flat and completely coincide (i.e., they are degenerate with one another), residing between k x = 2π/3a and k x = 4π/3a, occupying one third of k xspace.”
§ Photonic Floquet Topological Insulators > Abstract
plaincorrelational- Asserted: passes — The authors put it forward as true.
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It may state two separate claims as one. The quote only partly states this claim.
- Rests on an assumption: The paraxial Schrödinger equation accurately models light propagation in the waveguide array.
- Rests on an assumption: Nearest-neighbor coupling alone captures the waveguide interactions in the coupled-mode description.
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 R=8µm, the wave packet wraps around the corner of the triangle and moves along the opposite edge, as shown in Fig. 4(f).Importantly, the light is not backscattered even when it hits the acute corner, due to the lack of a counter-propagating edge state.This is a key example of topological protection against scattering.”
§ Photonic Floquet Topological Insulators > Abstract
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In the paper
“The chirality of the waveguides results in scatter-free, one-way edge states that are topologically protected from scattering.”
§ Photonic Floquet Topological Insulators > Abstract
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In the paper
“More recently, it was shown by Kane and Mele 5 that in the case of strong spin-orbit coupling, immunity against scattering (topological protection) can also be achieved without the need for an external field: the materials in this class later became known as topological insulators 6 .”
§ Photonic Floquet Topological Insulators > Abstract
What the sources say
- Not checked yetcites [5] Wang, Z., Chong, Y., Joannopoulos, J. D. & Soljacic, M. Observation of unidirectional backscattering-immune topological electromagnetic states. Nature 461, 772–775 (2009) source
- Not checked yetcites [6] Koch, J., Houck, A. A., Hur, K. L. & Girvin, S. M. Time-reversal-symmetry breaking in circuit-QED-based photon lattices. Phys. Rev. A 82, 043811 (2010) source
plaindirect- Asserted: passes — The authors put it forward as true.
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Probably not a substantial claim. The paper’s conclusions may not depend on it.
In the paper
“In contrast, in the quantum Hall effect 4 , an external magnetic field is applied to a two-dimensional electron gas, breaking time-reversal symmetry, hence the two counter-propagating edge states have different energies, and thus backscattering is prevented.”
§ Photonic Floquet Topological Insulators > Abstract
What the sources say
- Not checked yetcites [4] Haldane, F. D. M. & Raghu, S. Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry. Phys. Rev. Lett. 100, 013904 (2008) source
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In the paper
“Indeed, the two-dimensional material graphene, which has very weak spin-orbit coupling, has been theorized to exhibit topologically protected edge states under the influence of a circularly polarized electric field 8 , but this has not been shown experimentally.”
§ Photonic Floquet Topological Insulators > Abstract
What the sources say
- Not checked yetcites [8] Hafezi, M., Demler, E. A., Lukin, M. D. & Taylor, J. M. Robust optical delay lines with topological protection. Nature Phys. 7, 907–912 (2011) source
plaindirect- Asserted: passes — The authors put it forward as true.
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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
“For example, our photonic lattices have the same geometry as photonic crystal fibers, and thus these systems are likely to exhibit robust topologically protected states.”
§ Photonic Floquet Topological Insulators > Abstract
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In the paper
“It has been conjectured that in such materials, called”
§ Photonic Floquet Topological Insulators > Abstract
What the sources say
- Not checked yetcites [7] Umucalılar, R. O. & Carusotto, I. Artificial gauge field for photons in coupled cavity arrays. Phys. Rev. A 84, 043804 (2011) source
- Not checked yetcites [8] Hafezi, M., Demler, E. A., Lukin, M. D. & Taylor, J. M. Robust optical delay lines with topological protection. Nature Phys. 7, 907–912 (2011) source
hedged- Asserted: fails — The authors may not put it forward as true.
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In the paper
“In the domain of optics, Raghu and Handane proposed in 2008 that by using gyromagnetic materials, a photonic analogue of the quantum Hall effect could be realized and topological protection of light could be achieved 9 .”
§ Photonic Floquet Topological Insulators > Abstract
What the sources say
- Not checked yetcites [9] Khanikaev, A. B. et al. Photonic topological insulators. Nature Mater. 12, 233–239 (2012) source
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In the paper
“On the other hand, a number of recent works have experimentally demonstrated the existence of photonic edge states that are derived by topological arguments (namely the bulk-edge correspondence principle) 13 -15 .However, none of these edge states is topologically protected against scattering and should not be confused with the topologically protected edge states in a topological insulator.”
§ Photonic Floquet Topological Insulators > Abstract
What the sources say
- Not checked yetcites [13] Lu, L., Joannopoulos, J. D. & Soljačić, M. Waveguiding at the edge of a three-dimensional photonic crystal. Phys. Rev. Lett. 108, 243901 (2012) source
- Not checked yetcites [14] 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
- Not checked yetcites [15] Klitzing, K. v., Dorda, G. & Pepper, M. New method for high-accuracy determination of the fine-structure constant based on quantized Hall resistance. Phys. Rev. Lett. 45, 494–497 (1980) source
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In the paper
“However, no non-magnetic photonic topological protection has ever been observed experimentally.”
§ Photonic Floquet Topological Insulators > Abstract
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In the paper
“However, this method of achieving topological protection cannot be carried over to optical frequencies, because magneto-optic effects at optical frequencies are extremely weak.”
§ Photonic Floquet Topological Insulators > Abstract
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The paper relies on this without support.
The helical rotation is slow enough that a guided mode remains adiabatically bound to the rotating waveguide.
“The helical rotation of the waveguides in our honeycomb lattice is sufficiently slow that a guided mode within a waveguide will be adiabatically drawn along with the waveguide as it rotates.”
The paper relies on this without support.
The paraxial Schrödinger equation accurately models light propagation in the waveguide array.
“The paraxial propagation of light through the photonic lattice is described by the Schrödinger-type equation:”
The paper relies on this without support.
Nearest-neighbor coupling alone captures the waveguide interactions in the coupled-mode description.
“where the summation is only taken over nearest-neighbor waveguides”
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“In other words, optical waveguide axis bending introduces an equivalent gravitational potential for photons, which has found several applications, for example in dynamical localization of light [36, 37], control of photon tunneling [38] and realization of synthetic gauge fields for photons [39, 40] (for a recent review see [41]).”
From Equivalence principle and quantum mechanics: quantum simulation with entangled photons (2018) · cites this paper as [39]
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“Many types of topological phases have been observed, for instance, Hall effect [16,17], edge states [18][19][20][21], topological insulators [22,23] and Weyl points [24,25], implying the capability of protecting physical fields.”
From Topological protection of two-photon quantum correlation on a photonic chip (2019) · cites this paper as [22]
In the citing paper
“When appropriately stacked into three dimensions, the corner modes give rise to chiral one dimensional modes along edges of the three dimensional sample.”
From Observation of a phononic quadrupole topological insulator (2018) · cites this paper as [23]
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.
Rated minor: it would not touch a result — a value no result rests on, a p-value that stays on the same side of the significance level, or a conflict that is clerical, resolved elsewhere in the paper, or outside its own findings.
In the paper
§ Photonic Floquet Topological Insulators > Abstract
“The excited waveguide is at the top left of the triangle, and the edge state propagates in a clockwise sense, avoiding the defect and propagating through it, eventually hitting the next corner of the triangle.”
§ Photonic Floquet Topological Insulators > Abstract
“A light beam of λ=633nm is launched into the single waveguide at the upper-right corner (surrounded by a yellow circle).”
Citations
Cites
Two-dimensional gas of massless Dirac fermions in graphene
Novoselov, K. S., Geim, A. K., Morozov, S. V., Jiang, D., Katsnelson, M. I., Grigorieva, I. V., Dubonos, S. V., & Firsov, A. A. (2005) · Nature · doi:10.1038/nature04233 · Cited by 21,611
Colloquium : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930
Quantum Spin Hall Effect in Graphene
Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.226801 · Cited by 8,197
Klitzing, K. V., Dorda, G., & Pepper, M. (1980) · Physical Review Letters · doi:10.1103/physrevlett.45.494 · Cited by 7,119
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973
Quantum Spin Hall Insulator State in HgTe Quantum Wells
König, M., Wiedmann, S., Brüne, C., Roth, A., Buhmann, H., Molenkamp, L. W., Qi, X.-L., & Zhang, S.-C. (2007) · Science · doi:10.1126/science.1148047 · Cited by 6,151
A topological Dirac insulator in a quantum spin Hall phase
Hsieh, D., Qian, D., Wray, L., Xia, Y., Hor, Y. S., Cava, R. J., & Hasan, M. Z. (2008) · Nature · doi:10.1038/nature06843 · Cited by 3,523
Observation 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
Haldane, F. D. M., & Raghu, S. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.013904 · Cited by 2,787
Photonic topological insulators
Khanikaev, A. B., Hossein Mousavi, S., Tse, W.-K., Kargarian, M., MacDonald, A. H., & Shvets, G. (2013) · Nature Materials · doi:10.1038/nmat3520 · Cited by 1,971
Cited by
Sorted by citations
Items 801–900 of 1,011
Luo, M., & Xiao, Y. (2023) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2023.124259 · Cited by 49
Dynamic optical superlattices with topological bands
Baur, S. K., Schleier-Smith, M., & Cooper, N. R. (2014) · Physical Review A · doi:10.1103/physreva.89.051605 · Cited by 49
Universal Chiral Quasisteady States in Periodically Driven Many-Body Systems
Lindner, N. H., Berg, E., & Rudner, M. S. (2017) · Physical Review X · doi:10.1103/physrevx.7.011018 · Cited by 54
Low-loss and broadband anomalous Floquet topological insulator for airborne sound
Peng, Y., Shen, Y., Zhao, D., & Zhu, X. (2017) · Applied Physics Letters · doi:10.1063/1.4982620 · Cited by 49
Huang, H., Chen, J., & Huo, S.-Y. (2017) · Journal of Physics D Applied Physics · doi:10.1088/1361-6463/aa7619 · Cited by 50
GaAs valley photonic crystal waveguide with light-emitting InAs quantum dots
Yamaguchi, T., Ota, Y., Katsumi, R., Watanabe, K., Ishida, S., Osada, A., Arakawa, Y., & Iwamoto, S. (2019) · Applied Physics Express · doi:10.7567/1882-0786/ab1cc5 · Cited by 49
Parametric Instabilities of Interacting Bosons in Periodically Driven 1D Optical Lattices
Wintersperger, K., Bukov, M., Näger, J., Lellouch, S., Demler, E., Schneider, U., Bloch, I., Goldman, N., & Aidelsburger, M. (2020) · Physical Review X · doi:10.1103/physrevx.10.011030 · Cited by 49
Acoustic topological beam nonreciprocity via the rotational Doppler effect
Wang, Q., Zhou, Z., Liu, D., Ding, H., Gu, M., & Li, Y. (2022) · Science Advances · doi:10.1126/sciadv.abq4451 · Cited by 49
Four-band non-Abelian topological insulator and its experimental realization
Jiang, T., Guo, Q., Zhang, R.-Y., Zhang, Z.-Q., Yang, B., & Chan, C. T. (2021) · Nature Communications · doi:10.1038/s41467-021-26763-1 · Cited by 51
Kang‐Hyok, O., & Kim, K. (2021) · Optics & Laser Technology · doi:10.1016/j.optlastec.2021.107616 · Cited by 49
Smart patterning for topological pumping of elastic surface waves
Wang, S., Hu, Z., Wu, Q., Chen, H., Prodan, E. V., Zhu, R., & Huang, G. (2023) · Science Advances · doi:10.1126/sciadv.adh4310 · Cited by 49
Fractional quantum Hall states of Rydberg polaritons
Maghrebi, M. F., Yao, N. Y., Hafezi, M., Pohl, T., Firstenberg, O., & Gorshkov, A. V. (2015) · Physical Review A · doi:10.1103/physreva.91.033838 · Cited by 48
A photonic thermalization gap in disordered lattices
Kondakci, H. E., Abouraddy, A. F., & Saleh, B. E. A. (2015) · Nature Physics · doi:10.1038/nphys3482 · Cited by 48
Topological angular momentum and radiative heat transport in closed orbits
Silveirinha, M. G. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.95.115103 · Cited by 48
Poli, C., Schomerus, H., Bellec, M., Kuhl, U., & Mortessagne, F. (2017) · 2D Materials · doi:10.1088/2053-1583/aa56de · Cited by 50
Simulating quantum spin Hall effect in the topological Lieb lattice of a linear circuit network
Zhu, W., Hou, S., Long, Y., Chen, H., & Ren, J. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.075310 · Cited by 48
Wannier representation of Floquet topological states
Nakagawa, M., Slager, R.-J., Higashikawa, S., & Oka, T. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.101.075108 · Cited by 51
Zero-refractive-index materials and topological photonics
Horsley, S. A. R., & Woolley, M. J. (2020) · Nature Physics · doi:10.1038/s41567-020-01082-2 · Cited by 48
Topological dipole Floquet solitons
Ivanov, S. K., Kartashov, Y. V., Heinrich, M., Szameit, A., Torner, L., & Konotop, V. V. (2021) · Physical Review A · doi:10.1103/physreva.103.053507 · Cited by 48
Self-citationPark, H., Gao, W., Zhang, X., & Oh, S. S. (2022) · Nanophotonics · doi:10.1515/nanoph-2021-0692 · Cited by 49
One-way helical electromagnetic wave propagation supported by magnetized plasma
Yang, B., Lawrence, M., Gao, W., Guo, Q., & Zhang, S. (2016) · Scientific Reports · doi:10.1038/srep21461 · Cited by 48
High-Speed DC Transport of Emergent Monopoles in Spinor Photonic Fluids
Terças, H., Solnyshkov, D. D., & Malpuech, G. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.036403 · Cited by 47
Broadband Topological Slow Light through Brillouin Zone Winding
Mann, S. A., & Alù, A. (2021) · Physical Review Letters · doi:10.1103/physrevlett.127.123601 · Cited by 48
Non‐Hermitian Topological Phononic Metamaterials
Lu, J., Deng, W., Huang, X., Ke, M., & Liu, Z. (2023) · Advanced Materials · doi:10.1002/adma.202307998 · Cited by 50
Real-space detection and manipulation of topological edge modes with ultracold atoms
Braun, C., Saint-Jalm, R., Hesse, A., Arceri, J., Bloch, I., & Aidelsburger, M. (2024) · Nature Physics · doi:10.1038/s41567-024-02506-z · Cited by 50
Excitation band topology and edge matter waves in Bose–Einstein condensates in optical lattices
Furukawa, S., & Ueda, M. (2015) · New Journal of Physics · doi:10.1088/1367-2630/17/11/115014 · Cited by 47
Quantum Mechanics with a Momentum-Space Artificial Magnetic Field
Price, H. M., Ozawa, T., & Carusotto, I. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.190403 · Cited by 49
Floquet edge states in a harmonically driven integer quantum Hall system
Zhou, Z., Satija, I. I., & Zhao, E. (2014) · Physical Review B · doi:10.1103/physrevb.90.205108 · Cited by 47
Transport properties in the photonic super‐honeycomb lattice — a hybrid fermionic and bosonic system
Zhong, H., Zhang, Y., Zhu, Y., Zhang, D., Li, C., Zhang, Y., Li, F., Belić, M. R., & Xiao, M. (2016) · Annalen der Physik · doi:10.1002/andp.201600258 · Cited by 48
Quadratic band touching points and flat bands in two-dimensional topological Floquet systems
Du, L., Zhou, X., & Fiete, G. A. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.95.035136 · Cited by 47
Floquet Dynamics of Boundary-Driven Systems at Criticality
Berdanier, W., Kolodrubetz, M., Vasseur, R., & Moore, J. E. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.260602 · Cited by 47
Universal Fluctuations of Floquet Topological Invariants at Low Frequencies
Rodriguez-Vega, M., & Seradjeh, B. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.036402 · Cited by 47
Absence of thermalization in finite isolated interacting Floquet systems
Seetharam, K., Titum, P., Kolodrubetz, M., & Refael, G. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.014311 · Cited by 48
Topological energy conversion through the bulk or the boundary of driven systems
Peng, Y., & Refael, G. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.134303 · Cited by 47
Qin, C., Yuan, L., Wang, B., Fan, S., & Lu, P. (2018) · Physical Review A · doi:10.1103/physreva.97.063838 · Cited by 48
P T -Symmetric Topological Edge-Gain Effect
Song, Y., Sun, X.-Q., Dutt, A., Minkov, M., Wojcik, C. C., Wang, H., Williamson, I. A. D., Orenstein, M., & Fan, S. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.033603 · Cited by 47
Super-resolution acoustic image montage via a biaxial metamaterial lens
Peng, Y., Shen, Y., Geng, Z.-G., Li, P.-Q., Zhu, J., & Zhu, X. (2020) · 中国科学通报：英文版 · doi:10.1016/j.scib.2020.03.018 · Cited by 47
Symmetry-Protected Scattering in Non-Hermitian Linear Systems
Jin, L., & Song, Z. (2021) · Chinese Physics Letters · doi:10.1088/0256-307x/38/2/024202 · Cited by 47
Zhou, L. (2021) · Physical Review Research · doi:10.1103/physrevresearch.3.033184 · Cited by 47
Observation of Dirac Hierarchy in Three-Dimensional Acoustic Topological Insulators
Yang, L., Wang, Y., Meng, Y., Zhu, Z., Xi, X., Yan, B., Lin, S., Chen, J., Shi, B.-J., Ge, Y., et al. (2022) · Physical Review Letters · doi:10.1103/physrevlett.129.125502 · Cited by 49
Topological supermodes in photonic crystal fiber
Roberts, N., Baardink, G., Nunn, J., Mosley, P. J., & Souslov, A. (2022) · Science Advances · doi:10.1126/sciadv.add3522 · Cited by 48
Various topological phases and their abnormal effects of topological acoustic metamaterials
Chen, Y., Chen, Z., Ge, H., He, C., Li, X., Lu, M., Sun, X., Yu, S., & Zhang, X. (2023) · Interdisciplinary materials · doi:10.1002/idm2.12071 · Cited by 48
Asymmetric transmission in nanophotonics
Ansari, A. S., Iyer, A. K., & Gholipour, B. (2023) · Nanophotonics · doi:10.1515/nanoph-2022-0820 · Cited by 46
Broadband and fabrication-tolerant 3-dB couplers with topological valley edge modes
Tang, G., Chen, X., Sun, L., Guo, C.-H., Li, M.-Y., Tian, Z.-T., Chen, H., Wang, H., Sun, Q.-Y., Pan, Y., et al. (2024) · Light Science & Applications · doi:10.1038/s41377-024-01512-3 · Cited by 46
Selective Population of Edge States in a 2D Topological Band System
Galilo, B., Lee, D. K. K., & Barnett, R. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.245302 · Cited by 46
Generalized plane wave expansion method for non-reciprocal discretely modulated waveguides
Riva, E., Marconi, J., Cazzulani, G., & Braghin, F. (2019) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2019.03.001 · Cited by 46
Effective Floquet Hamiltonian in the low-frequency regime
Vogl, M. R., Rodriguez-Vega, M., & Fiete, G. A. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.101.024303 · Cited by 46
Xiong, Z., Lin, Z., Wang, H., Zhang, X., Lu, M., Chen, Y., & Jiang, J. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.102.125144 · Cited by 47
Haldane quantum Hall effect for light in a dynamically modulated array of resonators
Minkov, M., & Savona, V. (2016) · Optica · doi:10.1364/optica.3.000200 · Cited by 45
Universal momentum-to-real-space mapping of topological singularities
Liu, X., Xia, S., Jajtić, E., Song, D., Li, D., Tang, L., Leykam, D., Xu, J., Buljan, H., & Chen, Z. (2020) · Nature Communications · doi:10.1038/s41467-020-15374-x · Cited by 45
Photonic Realization of a Generic Type of Graphene Edge States Exhibiting Topological Flat Band
Xia, S., Liang, Y., Tang, L., Song, D., Xu, J., & Chen, Z. (2023) · Physical Review Letters · doi:10.1103/physrevlett.131.013804 · Cited by 46
Rivera, N., Hsu, C. W., Zhen, B., Buljan, H., Joannopoulos, J. D., & Marin Soljacic, A. (2016) · Scientific Reports · doi:10.1038/srep33394 · Cited by 45
Quantum dynamics of the driven and dissipative Rabi model
Henriet, L., Ristivojević, Z., Orth, P. P., & Hur, K. L. (2014) · Physical Review A · doi:10.1103/physreva.90.023820 · Cited by 46
Floquet engineering of Haldane Chern insulators and chiral bosonic phase transitions
Plekhanov, K., Roux, G., & Hur, K. L. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.95.045102 · Cited by 48
Topologically nontrivial photonic nodal surface in a photonic metamaterial
Kim, M., Lee, D., Lee, D. J., & Rho, J. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.99.235423 · Cited by 45
Topological insulators in longitudinally driven waveguides: Lieb and kagome lattices
Ablowitz, M. J., & Cole, J. T. (2019) · Physical Review A · doi:10.1103/physreva.99.033821 · Cited by 46
Floquet-engineered topological flat bands in irradiated twisted bilayer graphene
Li, Y., Fertig, H. A., & Seradjeh, B. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.043275 · Cited by 45
Fate of zero modes in a finite Su-Schrieffer-Heeger model with PT symmetry
Xu, Z., Zhang, R., Chen, S., Fu, L., & Zhang, Y. (2020) · Physical Review A · doi:10.1103/physreva.101.013635 · Cited by 45
Near‐Field Characterization of Higher‐Order Topological Photonic States at Optical Frequencies
Vakulenko, A., Kiriushechkina, S., Wang, M., Li, M., Zhirihin, D. V., Ni, X., Guddala, S., Korobkin, D., Alù, A., & Khanikaev, A. B. (2021) · Advanced Materials · doi:10.1002/adma.202004376 · Cited by 45
Intrinsic in-plane nodal chain and generalized quaternion charge protected nodal link in photonics
Wang, D., Yang, B., Guo, Q., Zhang, R.-Y., Xia, L., Su, X., Chen, W.-J., Han, J., Zhang, S., & Chan, C. T. (2021) · Light Science & Applications · doi:10.1038/s41377-021-00523-8 · Cited by 45
Higher‐Order Topological States in Thermal Diffusion
Wu, H., Hu, H., Wang, X., Xu, Z., Zhang, B., Wang, Q. J., Zheng, Y., Zhang, J., Cui, T. J., & Luo, Y. (2023) · Advanced Materials · doi:10.1002/adma.202210825 · Cited by 45
Yuan, L., & Fan, S. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.243901 · Cited by 44
Quench dynamics of edge states in 2-D topological insulator ribbons
Patel, A. A., Sharma, S., & Dutta, A. (2013) · The European Physical Journal B · doi:10.1140/epjb/e2013-40657-2 · Cited by 44
Field-effect induced tunability in hyperbolic metamaterials
Papadakis, G. T., & Atwater, H. A. (2015) · Physical Review B · doi:10.1103/physrevb.92.184101 · Cited by 44
Topological Heat Transport and Symmetry-Protected Boson Currents
Rivas, ́., & Martin-Delgado, M. A. (2017) · Scientific Reports · doi:10.1038/s41598-017-06722-x · Cited by 46
Replica Resummation of the Baker-Campbell-Hausdorff Series
Vajna, S., Klobas, K., Prosen, T., & Polkovnikov, A. (2018) · Physical Review Letters · doi:10.1103/physrevlett.120.200607 · Cited by 44
Finite-size effects on topological interface states in one-dimensional scattering systems
Kalozoumis, P. A., Theocharis, G., Achilleos, V., Félix, S., Richoux, O., & Pagneux, V. (2018) · Physical Review A · doi:10.1103/physreva.98.023838 · Cited by 44
From topologically protected coherent perfect reflection to bound states in the continuum
Dai, S., Liu, L., Han, D., & Zi, J. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.98.081405 · Cited by 44
Li, L., Umer, M., & Gong, J. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.98.205422 · Cited by 45
Topological frequency conversion in a driven dissipative quantum cavity
Nathan, F., Martin, I., & Refael, G. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.99.094311 · Cited by 48
Time-induced second-order topological superconductors
Bomantara, R. W. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.033495 · Cited by 47
Topological scattering resonances at ultralow frequencies
Gangaraj, S. A. H., Valagiannopoulos, C. A., & Monticone, F. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.023180 · Cited by 44
Optical Fiber-Integrated Metasurfaces: An Emerging Platform for Multiple Optical Applications
Zhao, Q., Yuan, W., Qu, J., Cheng, Z. Y., Peng, G., & Yu, C. (2022) · Nanomaterials · doi:10.3390/nano12050793 · Cited by 45
Topological photonics in metamaterials
Ma, S., Yang, B., & Zhang, S. (2022) · Photonics Insights · doi:10.3788/pi.2022.r02 · Cited by 46
Topological Growing of Laughlin States in Synthetic Gauge Fields
Grusdt, F., Letscher, F., Hafezi, M., & Fleischhauer, M. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.155301 · Cited by 46
Topological two-body bound states in the interacting Haldane model
Salerno, G. G., Liberto, M. F. D., Menotti, C., & Carusotto, I. (2018) · Physical Review A · doi:10.1103/physreva.97.013637 · Cited by 44
Observation of pair tunneling and coherent destruction of tunneling in arrays of optical waveguides
Mukherjee, S., Valiente, M., Goldman, N., Spracklen, A., Andersson, E., Öhberg, P., & Thomson, R. R. (2016) · Physical Review A · doi:10.1103/physreva.94.053853 · Cited by 43
Non-Hermitian Floquet higher-order topological states in two-dimensional quasicrystals
Shi, A., Bao, L., Peng, P., Ning, J., Wang, Z., & Liu, J. (2025) · Physical review. B./Physical review. B · doi:10.1103/physrevb.111.094109 · Cited by 43
Chen, X., Deng, Z., Chen, W.-J., Wang, J.-R., & Dong, J. (2015) · Physical Review B · doi:10.1103/physrevb.92.014210 · Cited by 43
Optical simulation of charge conservation violation and Majorana dynamics
Keil, R., Noh, C., Rai, A., Stützer, S., Nolte, S., Angelakis, D. G., & Szameit, A. (2015) · Optica · doi:10.1364/optica.2.000454 · Cited by 43
Self-citationTopological Instabilities in ac-Driven Bosonic Systems
Engelhardt, G., Benito, M., Platero, G., & Brandes, T. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.045302 · Cited by 43
Compact flat band states in optically induced flatland photonic lattices
Travkin, E., Diebel, F., & Denz, C. (2017) · Applied Physics Letters · doi:10.1063/1.4990998 · Cited by 43
Schuster, T., Gazit, S., Moore, J. E., & Yao, N. Y. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.266803 · Cited by 43
Topological Nanophotonics: Toward Robust Quantum Circuits
Blanco‐Redondo, A. (2019) · Proceedings of the IEEE · doi:10.1109/jproc.2019.2939987 · Cited by 45
Lattice Resonances in Optical Metasurfaces With Gain and Loss
Kołkowski, R., & Koenderink, A. F. (2019) · Proceedings of the IEEE · doi:10.1109/jproc.2019.2939396 · Cited by 44
Photonic Chern insulator through homogenization of an array of particles
Xiao, M., & Fan, S. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.100202 · Cited by 45
Quantum simulation of thermodynamics in an integrated quantum photonic processor
Somhorst, F. H. B., van der Meer, R., Anguita, M. C., Schadow, R., Snijders, H., de Goede, M., Kassenberg, B., Venderbosch, P., Taballione, C., Epping, J. P., et al. (2023) · Nature Communications · doi:10.1038/s41467-023-38413-9 · Cited by 46
Ultracompact and multifunctional integrated photonic platform
Du, Z., Liao, K., Dai, T., Wang, Y., Gao, J., Huang, H., Qi, H., Li, Y., Wang, X., Su, X., et al. (2024) · Science Advances · doi:10.1126/sciadv.adm7569 · Cited by 44
Chiral topological light for detection of robust enantiosensitive observables
Mayer, N., Ayuso, D., Decleva, P., Khokhlova, M., Pisanty, E., Ivanov, M., & Smirnova, O. V. (2024) · Nature Photonics · doi:10.1038/s41566-024-01499-8 · Cited by 42
Topologically Protected States in One-Dimensional Systems
Fefferman, C., Lee-Thorp, J., & Weinstein, M. I. (2017) · Memoirs of the American Mathematical Society · doi:10.1090/memo/1173 · Cited by 42
Optical isolation in topological-edge-state photonic arrays
El‐Ganainy, R., & Levy, M. (2015) · Optics Letters · doi:10.1364/ol.40.005275 · Cited by 44
Optical isolation of circularly polarized light with a spontaneous magnetoelectric effect
Prudêncio, F. R., & Silveirinha, M. G. (2016) · Physical Review A · doi:10.1103/physreva.93.043846 · Cited by 43
Differential Topology of Semimetals
Mathai, V., & Thiang, G. C. (2017) · Communications in Mathematical Physics · doi:10.1007/s00220-017-2965-z · Cited by 43
Topologically enabled optical nanomotors
Ilic, O., Kaminer, I. E., Zhen, B., Miller, O. D., Buljan, H., & Marin Soljacic, A. (2017) · Science Advances · doi:10.1126/sciadv.1602738 · Cited by 42
Topological optical isolator based on polariton graphene
Solnyshkov, D. D., Bleu, O., & Malpuech, G. (2018) · Applied Physics Letters · doi:10.1063/1.5018902 · Cited by 42
Designing topological interface states in phononic crystals based on the full phase diagrams
Meng, Y., Wu, X., Zhang, R.-Y., Li, X., Hu, P., Ge, L., Huang, Y., Xiang, H., Han, D., Wang, S., et al. (2018) · New Journal of Physics · doi:10.1088/1367-2630/aad136 · Cited by 42
Periodically Driven Sachdev-Ye-Kitaev Models
Kuhlenkamp, C., & Knap, M. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.106401 · Cited by 42
Topological valley transport under long-range deformations
Xu, Z., Kong, X., Davis, R. J., Bisharat, D. J., Zhou, Y., Yin, X., & Sievenpiper, D. F. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.013209 · Cited by 42
Robust Fano resonance in the photonic valley Hall states
Ji, C., Zhang, Y., Zou, B., & Yao, Y. (2021) · Physical Review A · doi:10.1103/physreva.103.023512 · Cited by 42
Real-time steering of curved sound beams in a feedback-based topological acoustic metamaterial
Sirota, L., Sabsovich, D., Lahini, Y., Ilan, R., & Shokef, Y. (2020) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2020.107479 · Cited by 42
Metadata
- Authors
- Rechtsman, M. C., Zeuner, J. M., Plotnik, Y., Lumer, Y., Podolsky, D., Dreisow, F., Nolte, S., Segev, M., & Szameit, A.
- Affiliations
- Technion – Israel Institute of Technology (IL)
- Friedrich Schiller University Jena (DE)
- Corresponding author
- Rechtsman, Mikael C.
- Plotnik, Yonatan
- ORCID
- Venue
- Nature
- Published
- 2013-04
- Volume
- 496
- Issue
- 7444
- Pages
- 196-200
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W1978426240
- Semantic Scholar
- 54c67b855fa18762e122c93289b197033d6e2669
- Cited by
- 3,332
- References
- 46
- Citations by year
- 2026: 206 · 2025: 243 · 2024: 239 · 2023: 271 · 2022: 307 · 2021: 329 · 2020: 345 · 2019: 270 · 2018: 294 · 2017: 272 · 2016: 213 · 2015: 175 · 2014: 118 · 2013: 48
- FWCI
- 94.97
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nature (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Funders
- Azrieli Foundation
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Keywords
- photonic topological insulators, Floquet topological insulators, helical waveguide, honeycomb lattice, topological protection, disorder scattering, time-reversal symmetry breaking, photonic crystals, photonic lattices, optical waveguides, topological photonics
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 2026-10-06, under version 3 of the claim definition (model deepseek-v4.1-flash, prompt extract-v3).
A second model labelled each claim on 2026-10-06 (model jev-1.13-20260917, definition revision gold-guideline-v0.2).
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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