Topological Transition of Dirac Points in a Microwave Experiment
Open accessAbstract
By means of a microwave tight-binding analogue experiment of a graphenelike lattice, we observe a topological transition between a phase with a pointlike band gap characteristic of massless Dirac fermions and a gapped phase. By applying a controlled anisotropy on the structure, we investigate the transition directly via density of states measurements. The wave function associated with each eigenvalue is mapped and reveals new states at the Dirac point, localized on the armchair edges. We find that with increasing anisotropy, these new states are more and more localized at the edges.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
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?
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 beyond traditional graphene itself.
“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 [18]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
The electronic properties of graphene
Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S., & Geim, A. K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.109 · Cited by 24,803 · see citing works
<i>Colloquium</i> : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930 · see citing works
Wallace, P. R. (1947) · Physical Review · doi:10.1103/physrev.71.622 · Cited by 5,055 · see citing works
Edge state in graphene ribbons: Nanometer size effect and edge shape dependence
Nakada, K., Fujita, M., Dresselhaus, G. F., & Dresselhaus, M. S. (1996) · Physical review. B, Condensed matter · doi:10.1103/physrevb.54.17954 · Cited by 4,327 · see citing works
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 · see citing works
Tight-binding approach to uniaxial strain in graphene
Pereira, V. M., Castro Neto, A. H., & Peres, N. M. R. (2009) · Physical Review B · doi:10.1103/physrevb.80.045401 · Cited by 1,350 · see citing works
Tight-binding description of graphene
Reich, S., Maultzsch, J., Thomsen, C., & Ordejón, P. (2002) · Physical review. B, Condensed matter · doi:10.1103/physrevb.66.035412 · Cited by 1,108 · see citing works
Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
Tarruell, L., Greif, D., Uehlinger, T., Jotzu, G., & Esslinger, T. (2012) · Nature · doi:10.1038/nature10871 · Cited by 972 · see citing works
Designer Dirac fermions and topological phases in molecular graphene
Gomes, K. K., Mar, W., Ko, W., Guinea, F., & Manoharan, H. C. (2012) · Nature · doi:10.1038/nature10941 · Cited by 741 · see citing works
Zak phase and the existence of edge states in graphene
Delplace, P., Ullmo, D., & Montambaux, G. (2011) · Physical Review B · doi:10.1103/physrevb.84.195452 · Cited by 541 · see citing works
Self-citationPressure-Induced Zero-Gap Semiconducting State in Organic Conductor α-(BEDT-TTF)2I3Salt
Katayama, S., Kobayashi, A., & Suzumura, Y. (2006) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.75.054705 · Cited by 419 · see citing works
Tilted anisotropic Dirac cones in quinoid-type graphene and α−(BEDT-TTF)2I3
Goerbig, M. O., Fuchs, J.-N., Montambaux, G., & Piéchon, F. (2008) · Physical Review B · doi:10.1103/physrevb.78.045415 · Cited by 400 · see citing works
Self-citationConical Diffraction and Gap Solitons in Honeycomb Photonic Lattices
Peleg, O., Bartal, G., Freedman, B., Manela, O., Segev, M., & Christodoulides, D. N. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.103901 · Cited by 378 · see citing works
Merging of Dirac points in a two-dimensional crystal
Montambaux, G., Piéchon, F., Fuchs, J.-N., & Goerbig, M. O. (2009) · Physical Review B · doi:10.1103/physrevb.80.153412 · Cited by 373 · see citing works
Self-citationSimulation and Detection of Dirac Fermions with Cold Atoms in an Optical Lattice
Zhu, S.-L., Wang, B., & Duan, L.-M. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.260402 · Cited by 302 · see citing works
New Magnetic Field Dependence of Landau Levels in a Graphenelike Structure
Dietl, P., Piéchon, F., & Montambaux, G. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.236405 · Cited by 260 · see citing works
Self-citationZero modes of tight-binding electrons on the honeycomb lattice
Hasegawa, Y., Konno, R., Nakano, H., & Kohmoto, M. (2006) · Physical Review B · doi:10.1103/physrevb.74.033413 · Cited by 255 · see citing works
A universal Hamiltonian for motion and merging of Dirac points in a two-dimensional crystal
Montambaux, G., Piéchon, F., Fuchs, J.-N., & Goerbig, M. O. (2009) · The European Physical Journal B · doi:10.1140/epjb/e2009-00383-0 · Cited by 217 · see citing works
Self-citationDirac-point engineering and topological phase transitions in honeycomb optical lattices
Wunsch, B., Guinea, F., & Sols, F. (2008) · New Journal of Physics · doi:10.1088/1367-2630/10/10/103027 · Cited by 200 · see citing works
Bloch-Zener Oscillations across a Merging Transition of Dirac Points
Lim, L.-K., Fuchs, J.-N., & Montambaux, G. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.175303 · Cited by 132 · see citing works
Self-citationUltracold fermions in a graphene-type optical lattice
Lee, K. L., Grémaud, B., Han, R., Englert, B., & Miniatura, C. (2009) · Physical Review A · doi:10.1103/physreva.80.043411 · Cited by 130 · see citing works
Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene
Bittner, S., Dietz, B., Miski-Oglu, M., Iriarte, P. O., Richter, A., & Schäfer, F. (2010) · Physical Review B · doi:10.1103/physrevb.82.014301 · Cited by 130 · see citing works
Zandbergen, S., & de Dood, M. J. A. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.043903 · Cited by 122 · see citing works
Dirac point and edge states in a microwave realization of tight-binding graphene-like structures
Kuhl, U., Barkhofen, S., Tudorovskiy, T., Stöckmann, H. ‐., Hossain, T., de Parny, L. D. F., & Mortessagne, F. (2010) · Physical Review B · doi:10.1103/physrevb.82.094308 · Cited by 89 · see citing works
Self-citationBittner, S., Dietz, B., Miski-Oglu, M., & Richter, A. (2012) · Physical Review B · doi:10.1103/physrevb.85.064301 · Cited by 59 · see citing works
Disordered graphene and boron nitride in a microwave tight-binding analog
Barkhofen, S., Bellec, M., Kuhl, U., & Mortessagne, F. (2013) · Physical Review B · doi:10.1103/physrevb.87.035101 · Cited by 35 · see citing works
Self-citationBrody, H. (2012) · Nature · doi:10.1038/483s29a · Cited by 22 · see citing works
Flagged first, then by citations
Research works printed but not linked: 1
- [15]S. Barkhofen, M. Bellec, U. Kuhl, and F. Mortessagne, (2012), arXiv:1205.5488v2. · arXiv
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 · see citing works
Nonlinear topological photonics
Smirnova, D. A., Leykam, D., Chong, Y. D., & Kivshar, Y. S. (2020) · Applied Physics Reviews · doi:10.1063/1.5142397 · Cited by 600 · see citing works
Electronic and optical properties of strained graphene and other strained 2D materials: a review
Naumis, G. G., Barraza‐Lopez, S., Oliva-Leyva, M., & Terrones, H. (2017) · Reports on Progress in Physics · doi:10.1088/1361-6633/aa74ef · Cited by 563 · see citing works
Selective enhancement of topologically induced interface states in a dielectric resonator chain
Poli, C., Bellec, M., Kuhl, U., Mortessagne, F., & Schomerus, H. (2015) · Nature Communications · doi:10.1038/ncomms7710 · Cited by 538 · see citing works
Self-citationArtificial honeycomb lattices for electrons, atoms and photons
Polini, M., Guinea, F., Lewenstein, M., Manoharan, H. C., & Pellegrini, V. (2013) · Nature Nanotechnology · doi:10.1038/nnano.2013.161 · Cited by 453 · see citing works
The rare two-dimensional materials with Dirac cones
Wang, J., Deng, S., Liu, Z., & Liu, Z. (2015) · National Science Review · doi:10.1093/nsr/nwu080 · Cited by 449 · see citing works
Observation of unconventional edge states in ‘photonic graphene’
Plotnik, Y., Rechtsman, M. C., Song, D., Heinrich, M., Zeuner, J. M., Nolte, S., Lumer, Y., Malkova, N., Xu, J., Szameit, A., et al. (2014) · Nature Materials · doi:10.1038/nmat3783 · Cited by 389 · see citing works
Chen, X.-D., Zhao, F.-L., Chen, M., & Dong, J.-W. (2017) · Physical Review B · doi:10.1103/physrevb.96.020202 · Cited by 387 · see citing works
Detecting Topological Invariants in Nonunitary Discrete-Time Quantum Walks
Zhan, X., Xiao, L., Bian, Z., Wang, K., Qiu, X., Sanders, B. C., Yi, W., & Xue, P. (2017) · Physical Review Letters · doi:10.1103/physrevlett.119.130501 · Cited by 202 · see citing works
Merging of Dirac points and Floquet topological transitions in ac-driven graphene
Delplace, P., Gómez-León, Á., & Platero, G. (2013) · Physical Review B · doi:10.1103/physrevb.88.245422 · Cited by 200 · see citing works
Dirac cones in two-dimensional artificial crystals for classical waves
Lu, J., Qiu, C., Xu, S., Ye, Y., Ke, M., & Liu, Z. (2014) · Physical Review B · doi:10.1103/physrevb.89.134302 · Cited by 192 · see citing works
Type-III and Tilted Dirac Cones Emerging from Flat Bands in Photonic Orbital Graphene
Milićević, M., Montambaux, G., Ozawa, T., Jamadi, O., Real, B., Sagnes, I., Lemaître, A., Le Gratiet, L., Harouri, A., Bloch, J., et al. (2019) · Physical Review X · doi:10.1103/physrevx.9.031010 · Cited by 171 · see citing works
“This case is a topological Lifshitz transition in which two Dirac cones with opposite topological charge merge and annihilate, as predicted for standard s band graphene [4,45] and reported in photonic [7,8] and atomic [5,6] honeycomb lattices and in black phosphorus [9].”
BackgroundSelf-citationFirst Experimental Realization of the Dirac Oscillator
Franco-Villafañe, J. A., Sadurní, E., Barkhofen, S., Kuhl, U., Mortessagne, F., & Seligman, T. H. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.170405 · Cited by 167 · see citing works
Self-citationExciton-polaritons in lattices: A non-linear photonic simulator
Amo, A., & Bloch, J. (2016) · Comptes Rendus. Physique · doi:10.1016/j.crhy.2016.08.007 · Cited by 157 · see citing works
Ni, X., Yves, S., Krasnok, A., & Alù, A. (2023) · Chemical Reviews · doi:10.1021/acs.chemrev.2c00800 · Cited by 156 · see citing works
Conical Diffraction and Composite Lieb Bosons in Photonic Lattices
Diebel, F., Leykam, D., Kroesen, S., Denz, C., & Desyatnikov, A. S. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.183902 · Cited by 139 · see citing works
Tight-binding couplings in microwave artificial graphene
Bellec, M., Kuhl, U., Montambaux, G., & Mortessagne, F. (2013) · Physical Review B · doi:10.1103/physrevb.88.115437 · Cited by 128 · see citing works
Self-citationValley-protected backscattering suppression in silicon photonic graphene
Chen, X.-D., & Dong, J.-W. (2016) · arXiv · doi:10.48550/arxiv.1602.03352 · Cited by 115 · see citing works
Many-body quantum electrodynamics networks: Non-equilibrium condensed matter physics with light
Hur, K. L., Henriet, L., Petrescu, A., Plekhanov, K., Roux, G., & Schirò, M. (2016) · Comptes Rendus Physique · doi:10.1016/j.crhy.2016.05.003 · Cited by 114 · see citing works
Yu, S.-Y., Sun, X.-C., Ni, X., Wang, Q., Yan, X.-J., He, C., Liu, X.-P., Feng, L., Lu, M.-H., & Chen, Y.-F. (2016) · Nature Materials · doi:10.1038/nmat4743 · Cited by 111 · see citing works
Quantum and wave dynamical chaos in superconducting microwave billiards
Dietz, B., & Richter, A. (2015) · Chaos An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/1.4915527 · Cited by 98 · see citing works
Lasing at K Points of a Honeycomb Plasmonic Lattice
Guo, R., Nečada, M., Hakala, T. K., Väkeväinen, A. I., & Törmä, P. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.013901 · Cited by 91 · see citing works
Edge states in polariton honeycomb lattices
Milićević, M., Ozawa, T., Andreakou, P., Carusotto, I., Jacqmin, T., Galopin, E., Lemaître, A., Gratiet, L. L., Sagnes, I., Bloch, J., et al. (2015) · 2D Materials · doi:10.1088/2053-1583/2/3/034012 · Cited by 80 · see citing works
Universal Sign Control of Coupling in Tight-Binding Lattices
Keil, R., Poli, C., Heinrich, M., Arkinstall, J., Weihs, G., Schomerus, H., & Szameit, A. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.213901 · Cited by 83 · see citing works
Honeycomb Schrödinger Operators in the Strong Binding Regime
Fefferman, C., Lee-Thorp, J., & Weinstein, M. I. (2017) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.21735 · Cited by 79 · see citing works
The Emergence of Dirac points in Photonic Crystals with Mirror Symmetry
He, W., & Chan, C. T. (2015) · Scientific Reports · doi:10.1038/srep08186 · Cited by 70 · see citing works
Spin–orbit coupling in photonic graphene
Zhang, Z., Liang, S. K., Li, F., Ning, S., Li, Y., Malpuech, G., Zhang, Y., Xiao, M., & Solnyshkov, D. D. (2020) · Optica · doi:10.1364/optica.390386 · Cited by 72 · see citing works
Lifshitz and excited-state quantum phase transitions in microwave Dirac billiards
Dietz, B., IACHELLO, F., Miski-Oglu, M., Pietralla, N., Richter, A., von Smekal, L., & Wambach, J. (2013) · Physical Review B · doi:10.1103/physrevb.88.104101 · Cited by 72 · see citing works
Manipulation of edge states in microwave artificial graphene
Bellec, M., Kuhl, U., Montambaux, G., & Mortessagne, F. (2014) · New Journal of Physics · doi:10.1088/1367-2630/16/11/113023 · Cited by 66 · see citing works
Self-citationEdge States in Honeycomb Structures
Fefferman, C., Lee-Thorp, J., & Weinstein, M. I. (2016) · Annals of PDE · doi:10.1007/s40818-016-0015-3 · Cited by 69 · see citing works
Strain engineering of Dirac cones in graphyne
Wang, G., Si, M., Kumar, A., & Pandey, R. (2014) · Applied Physics Letters · doi:10.1063/1.4880635 · Cited by 64 · see citing works
Topology and the optical Dirac equation
Horsley, S. A. R. (2018) · Physical Review A · doi:10.1103/physreva.98.043837 · Cited by 59 · see citing works
Double Dirac cones in two-dimensional dielectric photonic crystals
Li, Y., & Mei, J. (2015) · Optics Express · doi:10.1364/oe.23.012089 · Cited by 58 · see citing works
Trends in Quantum Nanophotonics
Huang, L., Xu, L., Woolley, M., & Miroshnichenko, A. E. (2020) · Advanced Quantum Technologies · doi:10.1002/qute.201900126 · Cited by 58 · see citing works
Manipulating type-I and type-II Dirac polaritons in cavity-embedded honeycomb metasurfaces
Mann, C.-R., Sturges, T. J., Weick, G., Barnes, W. L., & Mariani, E. (2018) · Nature Communications · doi:10.1038/s41467-018-03982-7 · Cited by 55 · see citing works
Diffusion of Dirac fermions across a topological merging transition in two dimensions
Adroguer, P., Carpentier, D., Montambaux, G., & Orignac, E. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.125113 · Cited by 55 · see citing works
Self-citationHuang, L., Xu, H.-Y., Grebogi, C., & Lai, Y. (2018) · Physics Reports · doi:10.1016/j.physrep.2018.06.006 · Cited by 53 · see citing works
Semi-Dirac Transport and Anisotropic Localization in Polariton Honeycomb Lattices
Real, B., Jamadi, O., Milićević, M., Pernet, N., St-Jean, P., Ozawa, T., Montambaux, G., Sagnes, I., Lemaître, A., Gratiet, L. L., et al. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.186601 · Cited by 55 · see citing works
Self-citationObservation of supersymmetric pseudo-Landau levels in strained microwave graphene
Bellec, M., Poli, C., Kuhl, U., Mortessagne, F., & Schomerus, H. (2020) · Light Science & Applications · doi:10.1038/s41377-020-00351-2 · Cited by 58 · see citing works
Self-citationWinding Vector: How to Annihilate Two Dirac Points with the Same Charge
Montambaux, G., Lim, L.-K., Fuchs, J.-N., & Piéchon, F. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.256402 · Cited by 51 · see citing works
Self-citationPoli, C., Schomerus, H., Bellec, M., Kuhl, U., & Mortessagne, F. (2017) · 2D Materials · doi:10.1088/2053-1583/aa56de · Cited by 48 · see citing works
Self-citationAnnihilation of exceptional points from different Dirac valleys in a 2D photonic system
Król, M., Septembre, I., Oliwa, P., Kędziora, M., Łempicka-Mirek, K., Muszyński, M., Mazur, R., Morawiak, P., Piecek, W., Kula, P., et al. (2022) · Nature Communications · doi:10.1038/s41467-022-33001-9 · Cited by 50 · see citing works
Observation of supersymmetric pseudo-Landau levels in strained microwave graphene
Bellec, M., Poli, C., Kuhl, U., Mortessagne, F., & Schomerus, H. (2020) · Lancaster EPrints (Lancaster University) · Cited by 47 · see citing works
Self-citationObservation 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 46 · see citing works
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 45 · see citing works
How to directly observe Landau levels in driven-dissipative strained honeycomb lattices
Salerno, G. G., Ozawa, T., Price, H. M., & Carusotto, I. (2015) · 2D Materials · doi:10.1088/2053-1583/2/3/034015 · Cited by 40 · see citing works
Higher winding number in a nonunitary photonic quantum walk
Xiao, L., Qiu, X., Wang, K., Bian, Z., Zhan, X., Obuse, H., Sanders, B. C., Yi, W., & Xue, P. (2018) · Physical Review A · doi:10.1103/physreva.98.063847 · Cited by 43 · see citing works
Weyl points in photonic-crystal superlattices
Bravo‐Abad, J., Lü, L., Fu, L., Buljan, H., & Marin Soljacic, A. (2015) · 2D Materials · doi:10.1088/2053-1583/2/3/034013 · Cited by 40 · see citing works
Spectral properties of superconducting microwave photonic crystals modeling Dirac billiards
Dietz, B., Klaus, T., Miski-Oglu, M., & Richter, A. (2015) · Physical Review B · doi:10.1103/physrevb.91.035411 · Cited by 41 · see citing works
Propagating edge states in strained honeycomb lattices
Salerno, G. G., Ozawa, T., Price, H. M., & Carusotto, I. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.95.245418 · Cited by 36 · see citing works
Effective Dirac Hamiltonian for anisotropic honeycomb lattices: Optical properties
Oliva-Leyva, M., & Naumis, G. G. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.035439 · Cited by 38 · see citing works
Hyart, T., Ojajärvi, R., & Heikkilä, T. T. (2018) · Journal of Low Temperature Physics · doi:10.1007/s10909-017-1846-3 · Cited by 38 · see citing works
Spectral Properties of Dirac Billiards at the van Hove Singularities
Dietz, B., Klaus, T., Miski-Oglu, M., Richter, A., Wunderle, M., & Bouazza, C. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.023901 · Cited by 37 · see citing works
Measuring Topological Invariants in a Polaritonic Analog of Graphene
St-Jean, P., Dauphin, A., Massignan, P., Real, B., Jamadi, O., Milićević, M., Lemaître, A., Harouri, A., Gratiet, L. L., Sagnes, I., et al. (2021) · Physical Review Letters · doi:10.1103/physrevlett.126.127403 · Cited by 38 · see citing works
Majorana fermions in honeycomb lattices
Dutreix, C., Guigou, M., Chevallier, D., & Cristina Bena, B. (2014) · The European Physical Journal B · doi:10.1140/epjb/e2014-50243-9 · Cited by 36 · see citing works
Dynamical polarization and plasmons in a two-dimensional system with merging Dirac points
Pyatkovskiy, P. K., & Chakraborty, T. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.085145 · Cited by 36 · see citing works
Disordered graphene and boron nitride in a microwave tight-binding analog
Barkhofen, S., Bellec, M., Kuhl, U., & Mortessagne, F. (2013) · Physical Review B · doi:10.1103/physrevb.87.035101 · Cited by 35 · see citing works
Self-citationExcitonic pairing and insulating transition in two-dimensional semi-Dirac semimetals
Wang, J.-R., Liu, G.-Z., & Zhang, C. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.95.075129 · Cited by 33 · see citing works
Chaos-assisted tunneling resonances in a synthetic Floquet superlattice
Arnal, M., Chatelain, G., Martinez, M., Dupont, N., Giraud, O., Ullmo, D., Georgeot, B., Lemarié, G., Billy, J., & Guéry-Odelin, D. (2020) · Science Advances · doi:10.1126/sciadv.abc4886 · Cited by 33 · see citing works
Möbius Strip Microlasers: A Testbed for Non-Euclidean Photonics
Song, Y., Monceaux, Y., Bittner, S., Chao, K., de la Cruz, H. M. R., Lafargue, C., Decanini, D., Dietz, B., Zyss, J., Grigis, A., et al. (2021) · Physical Review Letters · doi:10.1103/physrevlett.127.203901 · Cited by 33 · see citing works
Energy landscape in a Penrose tiling
Vignolo, P., Bellec, M., Böhm, J., Camara, A., Gambaudo, J.-M., Kuhl, U., & Mortessagne, F. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.075141 · Cited by 33 · see citing works
Self-citationLocalization of massless Dirac particles via spatial modulations of the Fermi velocity
(19694911), C. D., & (21847490), M. P. (2025) · Figshare · Cited by 32 · see citing works
Integrated optical Dirac physics via inversion symmetry breaking
Collins, M. J., Zhang, F., Bojko, R. J., Chrostowski, L., & Rechtsman, M. C. (2016) · Physical Review A · doi:10.1103/physreva.94.063827 · Cited by 31 · see citing works
Localization of massless Dirac particles via spatial modulations of the Fermi velocity
Downing, C. A., & Portnoi, M. E. (2017) · Journal of Physics Condensed Matter · doi:10.1088/1361-648x/aa7884 · Cited by 31 · see citing works
Semi-Dirac Fermions in a Topological Metal
Shao, Y., Moon, S., Rudenko, A. N., Wang, J., Herzog-Arbeitman, J., Ozerov, M., Graf, D. E., Sun, Z., Queiroz, R., Lee, S. H., et al. (2024) · Physical Review X · doi:10.1103/physrevx.14.041057 · Cited by 30 · see citing works
Microwave Experiments Simulating Quantum Search and Directed Transport in Artificial Graphene
Böhm, J., Bellec, M., Mortessagne, F., Kuhl, U., Barkhofen, S., Gehler, S., Stöckmann, H. ‐., Foulger, I., Gnutzmann∥, S., & Tanner, G. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.110501 · Cited by 30 · see citing works
Self-citationXu, Y., Jiang, G., Miotkowski, I., Biswas, R. R., & Chen, Y. P. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.207701 · Cited by 30 · see citing works
Dirac states in an inclined two-dimensional Su-Schrieffer-Heeger model
Li, C.-A., Choi, S., Zhang, S.-B., & Trauzettel, B. (2022) · Physical Review Research · doi:10.1103/physrevresearch.4.023193 · Cited by 29 · see citing works
From graphene to fullerene: experiments with microwave photonic crystals
Dietz, B., & Richter, A. (2018) · Physica Scripta · doi:10.1088/1402-4896/aaec96 · Cited by 28 · see citing works
Hidden symmetry and protection of Dirac points on the honeycomb lattice
Hou, J.-M., & Chen, W. (2015) · Scientific Reports · doi:10.1038/srep17571 · Cited by 27 · see citing works
Optical conductivity of semi-Dirac and pseudospin-1 models: Zitterbewegung approach
Oriekhov, D. O., & Gusynin, V. P. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.106.115143 · Cited by 27 · see citing works
Localization-delocalization transition in self-dual quasi-periodic lattices
Sun, M. L., Wang, G., Li, N., & Nakayama, T. (2015) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/110/57003 · Cited by 26 · see citing works
IACHELLO, F., Dietz, B., Miski-Oglu, M., & Richter, A. (2015) · Physical Review B · doi:10.1103/physrevb.91.214307 · Cited by 25 · see citing works
Mass and Chirality Inversion of a Dirac Cone Pair in Stückelberg Interferometry
Lim, L.-K., Fuchs, J.-N., & Montambaux, G. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.155302 · Cited by 25 · see citing works
Self-citationGeometry and topology tango in ordered and amorphous chiral matter
Guzmán, M., Bartolo, D., & Carpentier, D. (2022) · SciPost Physics · doi:10.21468/scipostphys.12.1.038 · Cited by 22 · see citing works
Merging of the Dirac points in electronic artificial graphene
Feilhauer, J., Apel, W., & Schweitzer, L. (2015) · Physical Review B · doi:10.1103/physrevb.92.245424 · Cited by 22 · see citing works
Artificial graphenes: Dirac matter beyond condensed matter
Montambaux, G. (2018) · Comptes Rendus Physique · doi:10.1016/j.crhy.2018.10.010 · Cited by 22 · see citing works
Self-citationSignatures of merging Dirac points in optics and transport
Ćarbotte, J. P., & Nicol, E. J. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.100.035441 · Cited by 21 · see citing works
Basov, D. N., Asenjo-Garcı́a, A., Schuck, P. J., Zhu, X., Rubio, Á., Cavalleri, A., Delor, M., Fogler, M. M., & Liu, M. K. (2025) · Nanophotonics · doi:10.1515/nanoph-2025-0001 · Cited by 20 · see citing works
Degeneracy doubling and sublattice polarization in strain-induced pseudo-Landau levels
Poli, C., Arkinstall, J., & Schomerus, H. (2014) · Physical Review B · doi:10.1103/physrevb.90.155418 · Cited by 20 · see citing works
Carpentier, D., Fedorenko, A. A., & Orignac, E. (2013) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/102/67010 · Cited by 20 · see citing works
Universal signatures of Dirac fermions in entanglement and charge fluctuations
Crépel, V., Hackenbroich, A., Regnault, N., & Estienne, B. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.235108 · Cited by 20 · see citing works
Quantum Hall effect in ac driven graphene: From the half-integer to the integer case
Ding, K.-H., Lim, L.-K., Su, G., & Weng, Z.-Y. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.035123 · Cited by 19 · see citing works
Topological transitions and Anderson localization of light in disordered atomic arrays
Skipetrov, S. E., & Wulles, P. (2022) · Physical Review A · doi:10.1103/physreva.105.043514 · Cited by 19 · see citing works
Anisotropic quantum spin Hall effect, spin-orbital textures, and the Mott transition
Liu, T., Douçot, B., & Hur, K. L. (2013) · Physical Review B · doi:10.1103/physrevb.88.245119 · Cited by 18 · see citing works
Microwave resonator lattices for topological photonics [Invited]
Reisner, M., Bellec, M., Kuhl, U., & Mortessagne, F. (2021) · Optical Materials Express · doi:10.1364/ome.416835 · Cited by 18 · see citing works
Self-citationBrillouin zone labelling for quasicrystals
Gambaudo, J.-M., & Vignolo, P. (2014) · New Journal of Physics · doi:10.1088/1367-2630/16/4/043013 · Cited by 18 · see citing works
Stegmann, T., Franco-Villafañe, J. A., Kuhl, U., Mortessagne, F., & Seligman, T. H. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.95.035413 · Cited by 17 · see citing works
Self-citationKim, S., Kim, S., & Kee, C. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.94.085118 · Cited by 17 · see citing works
Theoretical development in the realm of pentagonal 2D-materials
Shah, N. A., Janjua, R. A., Jin, Y., Evans, J. S., Shen, J. Q., & He, S. (2024) · Journal of Applied Physics · doi:10.1063/5.0231608 · Cited by 16 · see citing works
Giant corrugations in Bi 2 Se 3 layers grown on high-index InP substrates
Takagaki, Y., Jenichen, B., & Tominaga, J. (2013) · Physical Review B · doi:10.1103/physrevb.87.245302 · Cited by 16 · see citing works
Current vortices in aromatic carbon molecules
Stegmann, T., Franco-Villafañe, J. A., Ortiz, Y. P., Deffner, M., Herrmann, C., Kuhl, U., Mortessagne, F., Leyvraz, F., & Seligman, T. H. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.102.075405 · Cited by 16 · see citing works
Self-citationImpedance spectroscopy of chiral symmetric topoelectrical circuits
Franca, S., Seidemann, T., Hassler, F., van den Brink, J., & Fulga, I. C. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.109.l241103 · Cited by 14 · see citing works
Iskin, M. (2019) · Physical Review A · doi:10.1103/physreva.99.053603 · Cited by 15 · see citing works
Zhang, W., & Dietz, B. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.104.064310 · Cited by 15 · see citing works
Shafiei, M., Fazileh, F., Peeters, F. M., & Miloševıć, M. V. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.106.035119 · Cited by 15 · see citing works
Phase transition of non-Hermitian topological edge states in microwave regime
Yu, Y., Song, W., Chen, C., Chen, T., Ye, H., Shen, X., Cheng, Q., & Li, T. (2020) · Applied Physics Letters · doi:10.1063/5.0006144 · Cited by 15 · see citing works
Kotov, V. N., Uchoa, B., & Sushkov, O. P. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.045403 · Cited by 14 · see citing works
Microwave photonic crystals as an experimental realization of a combined honeycomb-kagome lattice
Maimaiti, W., Dietz, B., & Andreanov, A. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.102.214301 · Cited by 13 · see citing works
Dietz, B., Klaus, T., Miski-Oglu, M., Richter, A., Bischoff, M., von Smekal, L., & Wambach, J. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.026801 · Cited by 13 · see citing works
- Authors
- Bellec, M., Kuhl, U., Montambaux, G., & Mortessagne, F.
- Affiliations
- Centre National de la Recherche Scientifique (FR)
- Université Paris-Sud (FR)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2013-01-14
- Volume
- 110
- Issue
- 3
- Pages
- 033902-033902
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2024907745
- Cited by
- 189
- References
- 27
- Citations by year
- 2026: 5 · 2025: 13 · 2024: 9 · 2023: 7 · 2022: 16 · 2021: 15 · 2020: 20 · 2019: 10 · 2018: 11 · 2017: 12 · 2016: 19 · 2015: 21 · 2014: 14 · 2013: 17
- FWCI
- 12.19
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- HAL (submittedVersion, other-oa)
- HAL (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Materials Science › Materials Chemistry › Graphene research and applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
- Keywords
- Dirac point, topological phase transition, massless Dirac fermions, tight-binding model, microwave experiments, anisotropy, density of states, edge states, armchair edge, band gap
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.
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 ›
Are you an author, or do you see a problem with this page? Request a review
