Classification of topological quantum matter with symmetries

Chiu, Ching-Kai; Teo, Jeffrey C. Y.; Schnyder, Andreas P.; Ryu, Shinsei

doi:10.1103/revmodphys.88.035005

Cited by 2,736

The DOI matches its Crossref record; 44 of the 44 references it cites were found in a registry or an index.

Classification of topological quantum matter with symmetries

Chiu, Ching-Kai, Teo, Jeffrey C. Y., Schnyder, Andreas P., Ryu, Shinsei·2016·Reviews of Modern Physics

DOI 10.1103/revmodphys.88.035005

Open this paper in CoChat — free account

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

Crossref · 10.1103/revmodphys.88.035005

Cites

44 of 44 references verified0 citation errors · 0 not checkable

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?

The two-dimensional integer quantum Hall effect is the first in a family of related quantum Hall phenomena that can exist in higher dimensions.
“The twodimensional integer quantum Hall effect, previously introduced, is just the first in a family of related quantum Hall phenomena that can exist in higher dimensions (Chiu et al., 2016).”
From Topological photonics (2019) · cites this paper as Chiu et al., 2016

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

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
Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394
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
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator
Fu, L., & Kane, C. L. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.096407 · Cited by 4,868
Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates
Wan, X., Turner, A. M., Vishwanath, A., & Savrasov, S. Y. (2011) · Physical Review B · doi:10.1103/physrevb.83.205101 · Cited by 4,718
Topological Insulators in Three Dimensions
Fu, L., Kane, C. L., & Mele, E. J. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.106803 · Cited by 4,651
Observation of a large-gap topological-insulator class with a single Dirac cone on the surface
Xia, Y., Qian, D., Hsieh, D., Wray, L., Pal, A., Lin, H., Bansil, A., Grauer, D., Hor, Y. S., Cava, R. J., et al. (2009) · Nature Physics · doi:10.1038/nphys1274 · Cited by 3,765
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
Discovery of a Weyl fermion semimetal and topological Fermi arcs
Xu, S.-Y., Belopolski, I., Alidoust, N., Neupane, M., Bian, G., Zhang, C., Sankar, R., Chang, G., Yuan, Z., Lee, C.-C., et al. (2015) · Science · doi:10.1126/science.aaa9297 · Cited by 3,396
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
Quantized Hall conductance, current-carrying edge states, and the existence of extended states in a two-dimensional disordered potential
Halperin, B. I. (1982) · Physical Review B · doi:10.1103/physrevb.25.2185 · Cited by 2,547
Type-II Weyl semimetals
Soluyanov, A. A., Gresch, D., Wang, Z., Wu, Q., Troyer, M., Dai, X., & Bernevig, B. A. (2015) · Nature · doi:10.1038/nature15768 · Cited by 2,526
Experimental Discovery of Weyl Semimetal TaAs
Lv, B. Q., Weng, H. M., Fu, B. B., Wang, X. P., Miao, H., Ma, J., Richard, P., Huang, X. C., Zhao, L. X., Chen, G. F., et al. (2015) · Physical Review X · doi:10.1103/physrevx.5.031013 · Cited by 2,399
A tunable topological insulator in the spin helical Dirac transport regime
Hsieh, D., Xia, Y., Qian, D., Wray, L., Dil, J. H., Meier, F., Osterwalder, J., Patthey, L., Checkelsky, J. G., Ong, N. P., et al. (2009) · Nature · doi:10.1038/nature08234 · Cited by 1,979
Operator content of two-dimensional conformally invariant theories
Cardy, J. L. (1986) · Nuclear Physics B · doi:10.1016/0550-3213(86)90552-3 · Cited by 1,955
Weyl Semimetal Phase in Noncentrosymmetric Transition-Metal Monophosphides
Weng, H., Fang, C., Fang, Z., Bernevig, B. A., & Dai, X. (2015) · Physical Review X · doi:10.1103/physrevx.5.011029 · Cited by 1,889
Topological Insulator Materials
Ando, Y. (2013) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.82.102001 · Cited by 1,789
Absence of neutrinos on a lattice
Nielsen, H. B., & Ninomiya, M. (1981) · Nuclear Physics B · doi:10.1016/0550-3213(81)90361-8 · Cited by 1,719
A Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class
Huang, S.-M., Xu, S.-Y., Belopolski, I., Lee, C.-C., Chang, G., Wang, B., Alidoust, N., Bian, G., Neupane, M., Zhang, C., et al. (2015) · Nature Communications · doi:10.1038/ncomms8373 · Cited by 1,576
Observation of the Chiral-Anomaly-Induced Negative Magnetoresistance in 3D Weyl Semimetal TaAs
Huang, X., Zhao, L., Long, Y., Wang, P., Chen, D., Yang, Z., Liang, H., Xue, M., Weng, H., Fang, Z., et al. (2015) · Physical Review X · doi:10.1103/physrevx.5.031023 · Cited by 1,528 · cited 2×
“Based on first-principle calculations, this material was theoretically identified to be an inversion-symmetric Weyl semimetal (Huang et al., 2015a; Weng et al., 2015a), which was later confirmed by ARPES experiments (Lv et al., 2015; Xu et al., 2015c).”
BackgroundMethod
Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd3As2
Liang, T., Gibson, Q., Ali, M. N., Liu, M., Cava, R. J., & Ong, N. P. (2015) · Nature Materials · doi:10.1038/nmat4143 · Cited by 1,494
A stable three-dimensional topological Dirac semimetal Cd3As2
Liu, Z. K., Jiang, J., Zhou, B., Wang, Z. J., Zhang, Y., Weng, H. M., Prabhakaran, D., Mo, S.-K., Peng, H., Dudin, P., et al. (2014) · Nature Materials · doi:10.1038/nmat3990 · Cited by 1,491
Topological crystalline insulators in the SnTe material class
Hsieh, T. H., Lin, H., Liu, J., Duan, W., Bansil, A., & Fu, L. (2012) · Nature Communications · doi:10.1038/ncomms1969 · Cited by 1,449
Observation of a three-dimensional topological Dirac semimetal phase in high-mobility Cd3As2
Neupane, M., Xu, S.-Y., Sankar, R., Alidoust, N., Bian, G., Liu, C., Belopolski, I., Chang, T.-R., Jeng, H.-T., Lin, H., et al. (2014) · Nature Communications · doi:10.1038/ncomms4786 · Cited by 1,399
Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
Murakami, S. (2007) · New Journal of Physics · doi:10.1088/1367-2630/9/9/356 · Cited by 1,176
Topological States and Adiabatic Pumping in Quasicrystals
Kraus, Y. E., Lahini, Y., Ringel, Z., Verbin, M., & Zilberberg, O. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.106402 · Cited by 1,165
Experimental observation of Weyl points
Lu, L., Wang, Z., Ye, D., Ran, L., Fu, L., Joannopoulos, J. D., & Soljačić, M. (2015) · Science · doi:10.1126/science.aaa9273 · Cited by 1,067
Observation of Weyl nodes in TaAs
Lv, B. Q., Xu, N., Weng, H. M., Ma, J. Z., Richard, P., Huang, X. C., Zhao, L. X., Chen, G. F., Matt, C. E., Bisti, F., et al. (2015) · Nature Physics · doi:10.1038/nphys3426 · Cited by 1,061
Topological surface states protected from backscattering by chiral spin texture
Roushan, P., Seo, J., Parker, C. V., Hor, Y. S., Hsieh, D., Qian, D., Richardella, A., Hasan, M. Z., Cava, R. J., & Yazdani, A. (2009) · Nature · doi:10.1038/nature08308 · Cited by 1,052
Classification of stable three-dimensional Dirac semimetals with nontrivial topology
Yang, B.-J., & Nagaosa, N. (2014) · Nature Communications · doi:10.1038/ncomms5898 · Cited by 864
Topological nodal-line fermions in spin-orbit metal PbTaSe2
Bian, G., Chang, T.-R., Sankar, R., Xu, S.-Y., Zheng, H., Neupert, T., Chiu, C.-K., Huang, S.-M., Chang, G., Belopolski, I., et al. (2016) · Nature Communications · doi:10.1038/ncomms10556 · Cited by 857
Self-citation
Dirac Line Nodes in Inversion-Symmetric Crystals
Kim, Y., Wieder, B. J., Kane, C. L., & Rappe, A. M. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.036806 · Cited by 832
Topological crystalline insulator states in Pb1−xSnxSe
Dziawa, P., Kowalski, B. J., Dybko, K., Buczko, R., Szczerbakow, A., Szot, M., Łusakowska, E., Balasubramanian, T., Wojek, B. M., Berntsen, M. H., et al. (2012) · Nature Materials · doi:10.1038/nmat3449 · Cited by 820
Observation of Fermi arc surface states in a topological metal
Xu, S.-Y., Liu, C., Kushwaha, S. K., Sankar, R., Krizan, J. W., Belopolski, I., Neupane, M., Bian, G., Alidoust, N., Chang, T.-R., et al. (2015) · Science · doi:10.1126/science.1256742 · Cited by 764
Surface states and topological invariants in three-dimensional topological insulators: Application toBi1−xSbx
Teo, J. C. Y., Fu, L., & Kane, C. L. (2008) · Physical Review B · doi:10.1103/physrevb.78.045426 · Cited by 761
Self-citation
Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials
Ando, Y., & Fu, L. (2015) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031214-014501 · Cited by 723
Observation of a topological crystalline insulator phase and topological phase transition in Pb1−xSnxTe
Xu, S.-Y., Liu, C., Alidoust, N., Neupane, M., Qian, D., Belopolski, I., Denlinger, J. D., Wang, Y. J., Lin, H., Wray, L. A., et al. (2012) · Nature Communications · doi:10.1038/ncomms2191 · Cited by 691
Observation of topological order in a superconducting doped topological insulator
Wray, L. A., Xu, S.-Y., Xia, Y., Hor, Y. S., Qian, D., Fedorov, A. V., Lin, H., Bansil, A., Cava, R. J., & Hasan, M. Z. (2010) · Nature Physics · doi:10.1038/nphys1762 · Cited by 464
Symmetry-protected topological photonic crystal in three dimensions
Lu, L., Fang, C., Fu, L., Johnson, S. G., Joannopoulos, J. D., & Soljačić, M. (2016) · Nature Physics · doi:10.1038/nphys3611 · Cited by 329
Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
Xu, Y., Zhang, F., & Zhang, C. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.265304 · Cited by 295
Disorder effects in two-dimensional d-wave superconductors
Nersesyan, A. A., Tsvelik, A. M., & Wenger, F. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.2628 · Cited by 226
Topological order and absence of band insulators at integer filling in non-symmorphic crystals
Parameswaran, S. A., Turner, A. M., Arovas, D. P., & Vishwanath, A. (2013) · Nature Physics · doi:10.1038/nphys2600 · Cited by 184
Large linear magnetoresistance in the Dirac semimetal TlBiSSe
Novak, M., Sasaki, S., Segawa, K., & Ando, Y. (2015) · Physical Review B · doi:10.1103/physrevb.91.041203 · Cited by 183

Flagged first, then by citations

Research works printed but not linked: 496

10.1103/PhysRevLett.42.673 · DOI · Paper page
10.1142/S0219887812500235 · DOI
Affleck, I., 1988, Les Houches, Session XLIX
10.1103/PhysRevLett.106.057001 · DOI
10.1103/PhysRevLett.113.116403 · DOI
10.1088/0034-4885/75/7/076501 · DOI
10.1038/nphys1915 · DOI
10.1103/PhysRevLett.104.016401 · DOI · Paper page
10.1103/PhysRevLett.112.206602 · DOI
10.1103/PhysRevB.91.085429 · DOI
10.1016/S0370-1573(01)00065-5 · DOI
10.1103/PhysRevB.55.1142 · DOI · Paper page
10.1016/0550-3213(84)90066-X · DOI
10.1103/PhysRevLett.114.185701 · DOI
10.1103/PhysRev.109.1492 · DOI · Paper page
10.1103/PhysRev.123.1911 · DOI
10.1143/JPSJ.67.2857 · DOI
10.1103/PhysRevB.86.100504 · DOI
Atiyah, M., 1994, K-Theory
10.1016/0040-9383(64)90003-5 · DOI
10.1090/S0002-9904-1963-10957-X · DOI · Paper page
10.1103/PhysRevB.60.1654 · DOI
10.1103/PhysRev.131.1553 · DOI
10.1103/PhysRevLett.99.106801 · DOI
10.1146/annurev-conmatphys-030212-184337 · DOI
10.1063/1.530758 · DOI
10.1103/PhysRevB.89.224503 · DOI
10.1007/JHEP07(2015)034 · DOI
10.1142/S021797921330017X · DOI
10.1103/PhysRevB.81.134515 · DOI
Berline, N., 1992, Heat Kernels and Dirac Operators, 10.1007/978-3-642-58088-8 · DOI
10.1088/0305-4470/35/11/303 · DOI
Bernevig, A. B., 2013, Topological Insulators and Topological Superconductors, 10.1515/9781400846733 · DOI · Paper page
10.1126/science.1133734 · DOI · Paper page
10.1103/PhysRevB.93.121113 · DOI
10.1016/S0550-3213(00)00208-X · DOI
10.1088/1742-5468/2013/09/P09016 · DOI
10.1103/PhysRevLett.113.027603 · DOI · Paper page
10.1103/PhysRevB.53.1490 · DOI
10.1103/PhysRevLett.85.1064 · DOI
10.1103/PhysRevLett.84.2913 · DOI
10.1103/PhysRevLett.81.862 · DOI
10.1103/PhysRevB.84.020501 · DOI
10.1103/PhysRevB.88.075419 · DOI
10.1002/pssr.201206416 · DOI
10.1103/PhysRevLett.107.127205 · DOI · Paper page
10.1103/PhysRevB.84.235126 · DOI · Paper page
10.1103/PhysRevB.90.245122 · DOI
10.1016/S0550-3213(02)00340-1 · DOI
10.1007/JHEP12(2013)101 · DOI
10.1088/1751-8113/48/10/105404 · DOI
Chaikin, P. M., 2000, Principles of Condensed Matter Physics
10.1103/PhysRevB.87.085132 · DOI
10.1126/science.1234414 · DOI · Paper page
10.1088/1742-5468/2014/09/P09014 · DOI
10.1103/PhysRevB.86.235129 · DOI
10.1103/PhysRevX.5.041013 · DOI
10.1103/PhysRevB.89.165132 · DOI
10.1126/science.1227224 · DOI
10.1103/PhysRevB.87.155114 · DOI
10.1103/PhysRevB.82.155138 · DOI · Paper page
10.1103/PhysRevB.83.035107 · DOI
10.1103/PhysRevB.84.235128 · DOI
10.1038/ncomms7593 · DOI
10.1103/PhysRevB.86.195126 · DOI
10.1103/PhysRevLett.112.141602 · DOI
10.1103/PhysRevLett.109.237009 · DOI
10.1103/PhysRevB.84.144507 · DOI
10.1103/PhysRevB.91.165402 · DOI
10.1103/PhysRevB.90.205136 · DOI · Paper page
10.1088/1742-6596/603/1/012002 · DOI
10.1103/PhysRevB.88.075142 · DOI
10.1103/PhysRevB.91.195142 · DOI
10.1103/PhysRevB.86.125101 · DOI
10.1103/PhysRevB.89.235103 · DOI
10.1103/PhysRevLett.99.197002 · DOI
10.1103/PhysRevLett.103.235301 · DOI
10.1103/PhysRevB.87.241401 · DOI
10.1038/ncomms2340 · DOI
10.1103/PhysRevB.84.201105 · DOI
10.1016/0038-1098(93)90455-V · DOI
10.1038/nphys2479 · DOI
10.1103/PhysRevB.73.220502 · DOI
de Gennes, P. G., 1999, Superconductivity Of Metals And Alloys
10.1103/PhysRevB.89.075126 · DOI
10.1021/nl303758w · DOI
10.1016/j.geomphys.2014.07.036 · DOI
10.1007/s00220-015-2390-0 · DOI
10.1088/1367-2630/16/6/063049 · DOI
10.1088/1367-2630/17/4/043014 · DOI
10.1007/BF02096988 · DOI
10.1103/PhysRevB.93.045429 · DOI
10.1103/PhysRevB.90.155312 · DOI
10.1103/PhysRev.92.1331 · DOI
10.1063/1.1703863 · DOI
10.1103/PhysRevB.85.045130 · DOI
10.1103/PhysRevLett.104.106408 · DOI · Paper page
10.1080/00018738300101531 · DOI
Efetov, K. B., 1980, Sov. J. Exp. Theor. Phys., 52, 568
10.1103/RevModPhys.87.137 · DOI · Paper page
10.1103/PhysRevB.84.125132 · DOI
10.1103/PhysRevB.87.104406 · DOI
10.1103/PhysRevLett.102.146805 · DOI · Paper page
10.1103/RevModPhys.80.1355 · DOI
10.1088/1367-2630/14/3/033003 · DOI
10.1103/PhysRevLett.110.026603 · DOI
10.1103/PhysRevLett.114.056403 · DOI
10.1103/PhysRevB.92.081201 · DOI · Paper page
10.1103/PhysRevB.91.161105 · DOI
10.1103/PhysRevB.86.115112 · DOI
10.1103/PhysRevB.87.035119 · DOI
10.1103/PhysRevLett.112.046801 · DOI
10.1103/PhysRevLett.112.106401 · DOI
10.1103/PhysRevLett.108.266802 · DOI · Paper page
10.1103/PhysRevB.88.125141 · DOI
10.1103/PhysRevLett.104.130502 · DOI
10.1103/PhysRevX.3.041016 · DOI
10.1103/PhysRevB.81.134509 · DOI
10.1103/PhysRevB.83.075103 · DOI
10.1103/PhysRevLett.110.126406 · DOI
10.1103/PhysRevB.89.020509 · DOI
10.1103/PhysRevB.77.165108 · DOI
10.1103/PhysRevB.89.155140 · DOI
10.1103/PhysRevLett.109.246801 · DOI
Francesco, P. D., 1997, Conformal Field Theory, 10.1007/978-1-4612-2256-9 · DOI
Franz, M., 2013, Topological Insulators, Contemporary Concepts of Condensed Matter Science
10.1007/s00023-013-0236-x · DOI
10.1103/PhysRevB.83.115132 · DOI
10.1016/0003-4916(85)90384-7 · DOI
10.1016/j.crhy.2013.09.013 · DOI
10.1103/PhysRevLett.106.106802 · DOI · Paper page
10.1103/PhysRevLett.105.097001 · DOI
10.1103/PhysRevB.74.195312 · DOI · Paper page
10.1103/PhysRevB.76.045302 · DOI · Paper page
10.1103/PhysRevB.79.161408 · DOI
10.1103/PhysRevLett.109.246605 · DOI · Paper page
10.1103/PhysRevB.81.214516 · DOI
10.1143/JPSJ.79.033701 · DOI
10.1103/PhysRevB.85.165409 · DOI
10.1103/PhysRevB.83.155429 · DOI
10.1103/PhysRevB.89.155424 · DOI
10.1016/j.crhy.2013.03.002 · DOI
10.1016/0550-3213(93)90601-K · DOI
10.1016/0550-3213(91)90401-I · DOI
10.1103/PhysRevLett.104.146802 · DOI · Paper page
10.1088/0034-4885/77/12/126401 · DOI · Paper page
10.1103/PhysRevLett.105.255302 · DOI · Paper page
10.1103/PhysRevLett.107.196803 · DOI · Paper page
10.1088/1367-2630/12/2/025002 · DOI
10.1007/s00220-013-1819-6 · DOI
10.1103/PhysRevLett.103.196805 · DOI
10.1103/PhysRevLett.82.4524 · DOI
10.1103/PhysRevB.71.245124 · DOI
10.1103/PhysRevB.89.201113 · DOI
10.1103/PhysRevB.80.155131 · DOI
10.1103/PhysRevB.90.115141 · DOI
10.1103/PhysRevLett.105.216601 · DOI
10.1103/PhysRevB.83.085426 · DOI
10.1103/PhysRevLett.89.136801 · DOI
10.1103/PhysRevB.68.134207 · DOI
10.1103/PhysRevB.75.212509 · DOI
10.1016/0375-9601(83)90631-X · DOI
10.1103/PhysRevLett.50.1153 · DOI
10.1103/PhysRevLett.61.2015 · DOI · Paper page
10.1103/RevModPhys.82.3045 · DOI · Paper page
10.1146/annurev-conmatphys-062910-140432 · DOI · Paper page
10.1088/0031-8949/2015/T164/014001 · DOI
10.1088/1742-5468/2007/08/P08024 · DOI · Paper page
10.1016/j.aop.2010.12.013 · DOI
Hatcher, A., 2001, Algebraic Topology
10.1103/PhysRevLett.71.3697 · DOI · Paper page
10.1103/RevModPhys.60.781 · DOI
Helgason, S., 1978, Differential geometry, Lie groups, and symmetric spaces
10.1103/PhysRevLett.104.057001 · DOI · Paper page
10.1103/PhysRevLett.95.016405 · DOI
10.1103/PhysRevLett.107.097001 · DOI
10.1016/j.crhy.2013.10.010 · DOI · Paper page
10.1103/PhysRevB.81.045120 · DOI
10.1103/PhysRevB.93.075135 · DOI
10.1103/PhysRevB.90.245111 · DOI
10.1103/PhysRevB.90.165134 · DOI
10.1103/PhysRevB.90.081112 · DOI
10.1103/PhysRevB.83.245132 · DOI · Paper page
10.1103/PhysRevB.90.235123 · DOI
10.1103/PhysRevB.87.035401 · DOI
10.1103/PhysRevB.87.165107 · DOI
10.1103/PhysRevB.89.075121 · DOI
10.1016/0550-3213(87)90160-X · DOI
10.1103/PhysRevB.92.081304 · DOI
10.1103/PhysRevLett.86.268 · DOI
10.1103/PhysRevD.13.3398 · DOI · Paper page
10.1016/0550-3213(81)90044-4 · DOI
10.1103/PhysRevB.88.085110 · DOI
10.1126/science.1193839 · DOI
10.1038/nmat4023 · DOI · Paper page
10.1103/PhysRevX.4.041043 · DOI
10.1103/PhysRevLett.106.220402 · DOI · Paper page
10.1103/PhysRevX.4.031048 · DOI
10.1103/PhysRevLett.108.106403 · DOI
10.1103/PhysRevB.55.15832 · DOI

200 of 496 shown

Sorted by citations

Topological photonics
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
Topological photonics
Lu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655
Electric multipole moments, topological multipole moment pumping, and chiral hinge states in crystalline insulators
Benalcazar, W. A., Bernevig, B. A., & Hughes, T. L. (2017) · Physical Review B · doi:10.1103/physrevb.96.245115 · Cited by 1,389
Observation of a phononic quadrupole topological insulator
Serra-Garcia, M., Peri, V., Süsstrunk, R., Bilal, O. R., Larsen, T., Villanueva, L. G., & Huber, S. D. (2018) · Nature · doi:10.1038/nature25156 · Cited by 982
Topological bands for ultracold atoms
Cooper, N. R., Dalibard, J., & Spielman, I. B. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015005 · Cited by 940
Topological nature of nonlinear optical effects in solids
Morimoto, T., & Nagaosa, N. (2016) · Science Advances · doi:10.1126/sciadv.1501524 · Cited by 569
Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
Cardano, F., D’Errico, A., Dauphin, A., Maffei, M., Piccirillo, B., de Lisio, C., De Filippis, G., Cataudella, V., Santamato, E., Marrucci, L., et al. (2017) · Nature Communications · doi:10.1038/ncomms15516 · Cited by 351
Symmetry-protected topological photonic crystal in three dimensions
Lu, L., Fang, C., Fu, L., Johnson, S. G., Joannopoulos, J. D., & Soljačić, M. (2016) · Nature Physics · doi:10.1038/nphys3611 · Cited by 329
A second wave of topological phenomena in photonics and acoustics
Zhang, X., Zangeneh-Nejad, F., Chen, Z.-G., Lu, M.-H., & Christensen, J. (2023) · Nature · doi:10.1038/s41586-023-06163-9 · Cited by 240
Coexistence of Weyl fermion and massless triply degenerate nodal points
Weng, H., Fang, C., Fang, Z., & Dai, X. (2016) · Physical Review B · doi:10.1103/physrevb.94.165201 · Cited by 201
Topological semimetals with helicoid surface states
Fang, C., Lu, L., Liu, J., & Fu, L. (2016) · Nature Physics · doi:10.1038/nphys3782 · Cited by 189
4D spinless topological insulator in a periodic electric circuit
Yu, R., Zhao, Y. X., & Schnyder, A. P. (2020) · National Science Review · doi:10.1093/nsr/nwaa065 · Cited by 106
Self-citation
Double Weyl points and Fermi arcs of topological semimetals in non-Abelian gauge potentials
Lepori, L., Fulga, I. C., Trombettoni, A., & Burrello, M. (2016) · Physical Review A · doi:10.1103/physreva.94.053633 · Cited by 43
Wave-Function Tomography of Topological Dimer Chains with Long-Range Couplings
Pellerin, F., Houvenaghel, R., Coish, W. A., Carusotto, I., & St-Jean, P. (2024) · Physical Review Letters · doi:10.1103/physrevlett.132.183802 · Cited by 33

Authors: Chiu, C.-K., Teo, J. C. Y., Schnyder, A. P., & Ryu, S.
Venue: Reviews of Modern Physics
Publisher: American Physical Society (APS)
Published: 2016-08-31
Volume: 88
Issue: 3
ISSN: 0034-6861
1539-0756
DOI: 10.1103/revmodphys.88.035005
Cited by: 2,736
References: 44
Language: en
Licence: link.aps.org/licenses/aps-default-license (vor)
link.aps.org/licenses/aps-default-accepted-manuscript-license (am, 365 d)
Funders: National Science Foundation (DMR-1455296)
Alfred P. Sloan Foundation

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

Classification of topological quantum matter with symmetries

Overview

Integrity signals

Verification

Claims the paper makes

Claims other papers make about this one

Self-check

Citations

Cites

Cited by

Metadata

Record

About these checks