Colloquium : Topological band theory

Bansil, A.; Lin, Hsin; Das, Tanmoy

doi:10.1103/revmodphys.88.021004

Cited by 1,587Topological Materials and PhenomenaAdvanced Condensed Matter Physics2D Materials and Applications

Colloquium : Topological band theory

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Bansil, A., Lin, Hsin, Das, Tanmoy·2016·Reviews of Modern Physics

DOI 10.1103/revmodphys.88.021004

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Abstract

First-principles band theory, properly augmented by topological considerations, has provided a remarkably successful framework for predicting new classes of topological materials. This Colloquium discusses the underpinnings of the topological band theory and its materials applications.

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A quantum anomalous Hall insulator system is in principle similar to the integer quantum Hall system but occurs without an external magnetic field and Landau levels, making it promising for spintronics.
“As mentioned above, a QAHI system is in principle similar to the integer quantum Hall system, but the former occurs without an external magnetic field and LLs (76,79) and thus carries great promise for possible applications in spintronics.”
From Transport of Topological Semimetals (2019) · cites this paper as [79]
Section IIIB (p. 9) describes a quantum anomalous Hall insulator as a state driven by magnetic exchange energy, consistent with a Hall state that does not require an external field. Our copy does not explicitly compare it with the integer quantum Hall system or state that it occurs without Landau levels. The spintronics promise follows the citation in the citing sentence and appears to be the citing authors’ own conclusion. (LLM, conf=0.78)
Experimental — accuracy not yet measured
Ab initio calculations have proven extremely powerful in identifying real materials that exhibit WSM and DSM phases and many topological phases.
“In this regard, ab initio calculations have proven extremely powerful in identifying real materials that exhibit not just these, but many topological phases (Bansil et al. , 2016).”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Bansil et al., 2016
A quantum spin Hall insulator does not require the magnetic field needed for an integer quantum Hall system, because the field cancels when time-reversal copies are combined.
“Apparently, the magnetic field necessary to produce an integer quantum Hall system is no longer needed for a QSHI system (76,79), as the magnetic field is cancelled out when the time-reversal copies of integer quantum Hall systems are brought together.”
From Transport of Topological Semimetals (2019) · cites this paper as [79]
The Introduction (p. 2) discusses quantum spin Hall materials, and section IIIB (p. 9) describes a time-reversal-symmetry-breaking quantum anomalous Hall state. Neither passage explains a quantum spin Hall insulator as combined time-reversal copies of integer quantum Hall systems whose magnetic fields cancel. Searches for that mechanism and for the claimed lack of a required magnetic field found no passage addressing it. (LLM, conf=0.67)
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Self-Consistent Equations Including Exchange and Correlation Effects
Kohn, W., & Sham, L. J. (1965) · Physical Review · doi:10.1103/physrev.140.a1133 · Cited by 64,135 · see citing works
Inhomogeneous Electron Gas
Hohenberg, P., & Kohn, W. (1964) · Physical Review · doi:10.1103/physrev.136.b864 · Cited by 53,541 · see citing works
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
Colloquium : 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
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 · see citing works
Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468 · see citing works
Quantal phase factors accompanying adiabatic changes
Berry, M. V. (1984) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1984.0023 · Cited by 9,252 · see citing works
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 · see citing works
Metal-insulator transitions
Imada, M., Fujimori, A., & Tokura, Y. (1998) · Reviews of Modern Physics · doi:10.1103/revmodphys.70.1039 · Cited by 7,565 · see citing works
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
Bernevig, B. A., Hughes, T. L., & Zhang, S.-C. (2006) · Science · doi:10.1126/science.1133734 · Cited by 7,090 · see citing works
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 · see citing works
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:msub> <mml:mi>Z</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math> Topological Order and the Quantum Spin Hall Effect
Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.146802 · Cited by 6,460 · see citing works
Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface
Zhang, H., Liu, C.-X., Qi, X.-L., Dai, X., Fang, Z., & Zhang, S.-C. (2009) · Nature Physics · doi:10.1038/nphys1270 · Cited by 6,359 · see citing works
Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly"
Haldane, F. D. M. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.2015 · Cited by 6,301 · see citing works
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 · see citing works
Berry phase effects on electronic properties
Xiao, D., Chang, M.-C., & Niu, Q. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1959 · Cited by 5,277 · see citing works
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 · cited 5× · see citing works
“In this way, new insights have been enabled in the characteristics of topological superconductors (Fu and Kane 2008; Qi, Hughes, et al. 2009) and their interfaces with magnetic and non-magnetic materials, (Qi, Li, et al. 2009; Wray et al. 2011; Oroszlány and Cortijo 2012; Wei et al. 2013) effects…”
BackgroundInfluential
Progress, Challenges, and Opportunities in Two-Dimensional Materials Beyond Graphene
Butler, S., Hollen, S., Cao, L., Cui, Y., Gupta, J., Gutiérrez, H. R., Heinz, T. F., Hong, S. S., Huang, J., Ismach, A. F., et al. (2013) · ACS Nano · doi:10.1021/nn400280c · Cited by 4,864 · see citing works
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 · see citing works
Maximally localized generalized Wannier functions for composite energy bands
Marzari, N., & Vanderbilt, D. H. (1997) · Physical review. B, Condensed matter · doi:10.1103/physrevb.56.12847 · Cited by 4,715 · see citing works
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 · see citing works
Topological insulators with inversion symmetry
Fu, L., & Kane, C. L. (2007) · Physical Review B · doi:10.1103/physrevb.76.045302 · Cited by 4,252 · see citing works
Silicene: Compelling Experimental Evidence for Graphenelike Two-Dimensional Silicon
Vogt, P., Padova, P. D., Quaresima, C., Avila, J., Frantzeskakis, E., Asensio, M. C., Resta, A., Ealet, B., & LAY, G. L. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.155501 · Cited by 3,902 · see citing works
Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
Chang, C.-Z., Zhang, J., Feng, X., Shen, J., Zhang, Z., Guo, M., Li, K., Ou, Y., Wei, P., Wang, L.-L., et al. (2013) · Science · doi:10.1126/science.1234414 · Cited by 3,893 · see citing works
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 · see citing works
Self-citation
Experimental Realization of a Three-Dimensional Topological Insulator, Bi 2 Te 3
Chen, Y. L., Analytis, J. G., Chu, J.-H., Liu, Z. K., Mo, S.-K., Qi, X. L., Zhang, H. J., Lu, D. H., Dai, X., Fang, Z., et al. (2009) · Science · doi:10.1126/science.1173034 · Cited by 3,585 · see citing works
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 · see citing works
Electronic transport in two-dimensional graphene
Sarma, S. D., Adam, S., Hwang, E. H., & Rossi, E. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.407 · Cited by 3,404 · see citing works
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 · see citing works
Self-citation
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 · see citing works
Topological field theory of time-reversal invariant insulators
Qi, X.-L., Hughes, T. L., & Zhang, S.-C. (2008) · Physical Review B · doi:10.1103/physrevb.78.195424 · Cited by 3,329 · see citing works
Classification of topological insulators and superconductors in three spatial dimensions
Schnyder, A. P., Ryu, S., Furusaki, A., & Ludwig, A. W. W. (2008) · Physical Review B · doi:10.1103/physrevb.78.195125 · Cited by 3,322 · see citing works
Electronic structure calculations with dynamical mean-field theory
Kotliar, G., Savrasov, S. Y., Haule, K., Oudovenko, V. S., Parcollet, O., & Marianetti, C. A. (2006) · Reviews of Modern Physics · doi:10.1103/revmodphys.78.865 · Cited by 2,569 · see citing works
Quantum Spin Hall Effect in Silicene and Two-Dimensional Germanium
Liu, C., Feng, W., & Yao, Y. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.076802 · Cited by 2,380 · see citing works
Topological invariants of time-reversal-invariant band structures
Moore, J. E., & Balents, L. (2007) · Physical Review B · doi:10.1103/physrevb.75.121306 · Cited by 2,350 · see citing works
Discovery of a Three-Dimensional Topological Dirac Semimetal, Na 3 Bi
Liu, Z. K., Zhou, B., Zhang, Y., Wang, Z. J., Weng, H. M., Prabhakaran, D., Mo, S.-K., Shen, Z. X., Fang, Z., Dai, X., et al. (2014) · Science · doi:10.1126/science.1245085 · Cited by 2,328 · see citing works
Weyl Semimetal in a Topological Insulator Multilayer
Burkov, A. A., & Balents, L. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.127205 · Cited by 2,289 · see citing works
Quantized Anomalous Hall Effect in Magnetic Topological Insulators
Yu, R., Zhang, W., Zhang, H., Zhang, S., Dai, X., & Fang, Z. (2010) · Science · doi:10.1126/science.1187485 · Cited by 2,246 · see citing works
Universal Intrinsic Spin Hall Effect
Sinova, J., Culcer, D., Niu, Q., Sinitsyn, N. A., Jungwirth, T., & MacDonald, A. H. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.126603 · Cited by 2,156 · see citing works
Topological Crystalline Insulators
Fu, L. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.106802 · Cited by 2,095 · see citing works
Quantum spin Hall effect in two-dimensional transition metal dichalcogenides
Qian, X., Liu, J., Fu, L., & Li, J. (2014) · Science · doi:10.1126/science.1256815 · Cited by 2,053 · see citing works
Observation of Majorana fermions in ferromagnetic atomic chains on a superconductor
Nadj-Perge, S., Drozdov, I., Li, J., Chen, H., Jeon, S., Seo, J., MacDonald, A. H., Bernevig, B. A., & Yazdani, A. (2014) · Science · doi:10.1126/science.1259327 · Cited by 1,987 · see citing works
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 · see citing works
Self-citation
The superconductivity of Sr 2 RuO 4 and the physics of spin-triplet pairing
Mackenzie, A. P., & Maeno, Y. (2003) · Reviews of Modern Physics · doi:10.1103/revmodphys.75.657 · Cited by 1,959 · see citing works
Periodic table for topological insulators and superconductors
Kitaev, A., Lebedev, V., & Feigel’man, M. (2009) · AIP conference proceedings · doi:10.1063/1.3149495 · Cited by 1,916 · see citing works
Dirac semimetal and topological phase transitions in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:msub> <mml:mi>A</mml:mi> <mml:mn>3</mml:mn> </mml:msub> </mml:math> Bi ( <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mi>A</mml:mi> <mml:mo>=</mml:mo> <mml:mtext>Na</mml:mtext> </mml:mrow> </mml:math> , K, Rb)
Wang, Z., Sun, Y., Chen, X.-Q., Franchini, C., Xu, G., Weng, H., Dai, X., & Fang, Z. (2012) · Physical Review B · doi:10.1103/physrevb.85.195320 · Cited by 1,900 · see citing works
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 · see citing works
Search for Majorana Fermions in Superconductors
Beenakker, C. W. J. (2013) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-030212-184337 · Cited by 1,835 · see citing works
Metal-Insulator Transition
Mott, N. F. (1968) · Reviews of Modern Physics · doi:10.1103/revmodphys.40.677 · Cited by 1,804 · see citing works
Topological Insulator Materials
Ando, Y. (2013) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.82.102001 · Cited by 1,789 · see citing works
Floquet topological insulator in semiconductor quantum wells
Lindner, N. H., Refael, G., & Galitski, V. M. (2011) · Nature Physics · doi:10.1038/nphys1926 · Cited by 1,780 · see citing works
Dirac Semimetal in Three Dimensions
Young, S. M., Zaheer, S., Teo, J. C. Y., Kane, C. L., Mele, E. J., & Rappe, A. M. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.140405 · Cited by 1,741 · see citing works
2D materials: to graphene and beyond
Mas‐Ballesté, R., Gómez‐Navarro, C., Gómez‐Herrero, J., & Zamora, F. (2010) · Nanoscale · doi:10.1039/c0nr00323a · Cited by 1,701 · see citing works
Experimental Evidence for Epitaxial Silicene on Diboride Thin Films
Fleurence, A., Friedlein, R., Ozaki, T., Kawai, H., Wang, Y., & Yamada‐Takamura, Y. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.245501 · Cited by 1,660 · see citing works
Three-dimensional Dirac semimetal and quantum transport in Cd<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow/><mml:mn>3</mml:mn></mml:msub></mml:math>As<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow/><mml:mn>2</mml:mn></mml:msub></mml:math>
Wang, Z., Weng, H., Wu, Q., Dai, X., & Fang, Z. (2013) · Physical Review B · doi:10.1103/physrevb.88.125427 · Cited by 1,649 · see citing works
Geometry, Topology and Physics
Nakahara, M. (1990) · doi:10.1887/0750306068 · Cited by 1,620 · see citing works
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 · see citing works
Self-citation
Novel J eff = 1 / 2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr 2 IrO 4
Kim, B. J., Jin, H., Moon, S. J., Kim, J.-Y., Park, B.-G., Leem, C. S., Yu, J., Noh, T. W., Kim, C., Oh, S.-J., et al. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.076402 · Cited by 1,565 · see citing works
Geometry, Topology and Physics
Nakahara, M. (2018) · CRC Press eBooks · doi:10.1201/9781315275826 · Cited by 1,504 · see citing works
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 · see citing works
Chern Semimetal and the Quantized Anomalous Hall Effect in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:msub> <mml:mi>HgCr</mml:mi> <mml:mn>2</mml:mn> </mml:msub> <mml:msub> <mml:mi>Se</mml:mi> <mml:mn>4</mml:mn> </mml:msub> </mml:math>
Xu, G., Weng, H., Wang, Z., Dai, X., & Fang, Z. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.186806 · Cited by 1,483 · see citing works
Elektron und Gravitation. I
Weyl, H. (1929) · Zeitschrift f�r Physik · doi:10.1007/bf01339504 · Cited by 1,457 · see citing works
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 · cited 38× · see citing works
“Littlewood, P. B., B. Mihaila, R. K. Schulze, D. J. Safarik, J. E. Gubernatis, A. Bostwick, E. Rotenberg, et al., 2010, “Band Structure of SnTe Studied by Photoemission Spectroscopy,” Phys.”
BackgroundMethodInfluentialSelf-citation
Spin-transfer torque generated by a topological insulator
Mellnik, A., Lee, J. S., Richardella, A. R., Grab, J. L., Mintun, P. J., Fischer, M. H., Vaezi, A., Manchon, A., Kim, E.-A., Samarth, N., et al. (2014) · Nature · doi:10.1038/nature13534 · Cited by 1,445 · see citing works
Crossover of the three-dimensional topological insulator Bi2Se3 to the two-dimensional limit
Zhang, Y., He, K., Chang, C., Song, C., Wang, L.-L., Chen, X., Jia, J., Fang, Z., Dai, X., Shan, W.-Y., et al. (2010) · Nature Physics · doi:10.1038/nphys1689 · Cited by 1,442 · see citing works
Electronic structure of the high-temperature oxide superconductors
Pickett, W. E. (1989) · Reviews of Modern Physics · doi:10.1103/revmodphys.61.433 · Cited by 1,438 · see citing works
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 · see citing works
Self-citation
Magnetic pyrochlore oxides
Gardner, J. S., Gingras, M. J. P., & Greedan, J. E. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.53 · Cited by 1,378 · see citing works
Low-energy effective Hamiltonian involving spin-orbit coupling in silicene and two-dimensional germanium and tin
Liu, C., Jiang, H. W., & Yao, Y. (2011) · Physical Review B · doi:10.1103/physrevb.84.195430 · Cited by 1,358 · see citing works
Evidence of Silicene in Honeycomb Structures of Silicon on Ag(111)
Feng, B., Ding, Z., Meng, S., Yao, Y., He, X., Cheng, P., Chen, L., & Wu, K. (2012) · Nano Letters · doi:10.1021/nl301047g · Cited by 1,348 · see citing works
Large-Gap Quantum Spin Hall Insulators in Tin Films
Xu, Y., Yan, B., Zhang, H., Wang, J., Xu, G., Tang, P., Duan, W., & Zhang, S. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.136804 · Cited by 1,317 · see citing works
Quantum cluster theories
Maier, T., Jarrell, M., Pruschke, T., & Hettler, M. H. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.1027 · Cited by 1,310 · see citing works
Colloquium : Andreev reflection and Klein tunneling in graphene
Beenakker, C. W. J. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1337 · Cited by 1,302 · see citing works
Superconductivity near 30 K without copper: the Ba0.6K0.4BiO3 perovskite
Cava, R. J., Batlogg, B. J., Krajewski, J. J., Farrow, R. C., RUPP, L. W. J., White, A. E., Short, K. T., PECK, W. F. J., & Kometani, T. Y. (1988) · Nature · doi:10.1038/332814a0 · Cited by 1,241 · see citing works
Topological characterization of periodically driven quantum systems
Kitagawa, T., Berg, E., Rudner, M., & Demler, E. (2010) · Physical Review B · doi:10.1103/physrevb.82.235114 · Cited by 1,239 · see citing works
Observation of Unconventional Quantum Spin Textures in Topological Insulators
Hsieh, D., Xia, Y., Wray, L., Qian, D., Pal, A., Dil, J. H., Osterwalder, J., Meier, F., Bihlmayer, G., Kane, C. L., et al. (2009) · Science · doi:10.1126/science.1167733 · Cited by 1,239 · see citing works
Observation of Floquet-Bloch States on the Surface of a Topological Insulator
Wang, Y. H., Steinberg, H., Jarillo‐Herrero, P., & Gedik, N. (2013) · Science · doi:10.1126/science.1239834 · Cited by 1,231 · see citing works
Massive Dirac Fermion on the Surface of a Magnetically Doped Topological Insulator
Chen, Y. L., Chu, J.-H., Analytis, J. G., Liu, Z. K., Igarashi, K., Kuo, H.-H., Qi, X. L., Mo, S. K., Moore, R. G., Lu, D. H., et al. (2010) · Science · doi:10.1126/science.1189924 · Cited by 1,185 · see citing works
Buckled Silicene Formation on Ir(111)
Meng, L., Wang, Y., Zhang, L., Du, S., Wu, R., Li, L., Zhang, Y., Li, G., Zhou, H., Hofer, W. A., et al. (2013) · Nano Letters · doi:10.1021/nl304347w · Cited by 1,179 · see citing works
Electron-Electron Interactions in Graphene: Current Status and Perspectives
Kotov, V. N., Uchoa, B., Pereira, V. M., Guinea, F., & Neto, A. H. C. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.1067 · Cited by 1,178 · see citing works
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 · see citing works
Experimental Realization of a Three-Dimensional Dirac Semimetal
Borisenko, S., Gibson, Q., Evtushinsky, D., Zabolotnyy, V., Büchner, B., & Cava, R. J. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.027603 · Cited by 1,175 · see citing works
Electrically tunable band gap in silicene
Drummond, N. D., Zólyomi, V., & Fal’ko, V. I. (2012) · Physical Review B · doi:10.1103/physrevb.85.075423 · Cited by 1,163 · see citing works
High-temperature superconductivity in the BaPb1-xBixO3 systems
Sleight, A. W., Gillson, J. L., & Bierstedt, P. E. (1975) · Solid State Communications · doi:10.1016/0038-1098(75)90327-0 · Cited by 1,124 · see citing works
Spintronics and pseudospintronics in graphene and topological insulators
Pesin, D. A., & MacDonald, A. H. (2012) · Nature Materials · doi:10.1038/nmat3305 · Cited by 1,099 · see citing works
Periodic table for topological insulators and superconductorsPreprint
Kitaev, A. (2009) · Cited by 1,063 · see citing works
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 · see citing works
Topological orders and edge excitations in fractional quantum Hall states
Wen, X.-G. (1995) · Advances in Physics · doi:10.1080/00018739500101566 · Cited by 1,060 · see citing works
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 · see citing works
Mott physics and band topology in materials with strong spin–orbit interaction
Pesin, D. A., & Balents, L. (2010) · Nature Physics · doi:10.1038/nphys1606 · Cited by 1,025 · see citing works
Observation of Time-Reversal-Protected Single-Dirac-Cone Topological-Insulator States in Bi2Te3 and Sb2Te3
(2009) · doi:10.1103/physrevlett.103.146401 · Cited by 1,014 · see citing works
Self-citation
Colloquium: The transport properties of graphene: An introduction
Peres, N. M. R. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.2673 · Cited by 1,014 · see citing works
High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
Chang, C., Zhao, W., Kim, D. Y., Zhang, H., Assaf, B. A., Heiman, D., Zhang, S., Liu, C., Chan, M. H. W., & Moodera, J. S. (2015) · Nature Materials · doi:10.1038/nmat4204 · Cited by 998 · see citing works
Experimental realization of a topological crystalline insulator in SnTe
Tanaka, Y., Ren, Z., Sato, T., Nakayama, K., Souma, S., Takahashi, T., Segawa, K., & Ando, Y. (2012) · Nature Physics · doi:10.1038/nphys2442 · Cited by 997 · see citing works
Valence fluctuations in solids
Failicov, L. M., & Maple, M. B. (1981) · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · Cited by 984 · see citing works
Search for majorana fermions in superconductorsPreprint
Beenakker, C. W. J. (2011) · Cited by 982 · see citing works
Electronic properties of graphene in a strong magnetic field
Goerbig, M. O. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1193 · Cited by 978 · see citing works
Topological phases and the quantum spin Hall effect in three dimensions
Roy, R. (2009) · Physical Review B · doi:10.1103/physrevb.79.195322 · Cited by 973 · see citing works
Evidence for Helical Edge Modes in Inverted InAs / GaSb Quantum Wells
Knez, I., Du, R.-R., & Sullivan, G. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.136603 · Cited by 970 · see citing works
Inducing a Magnetic Monopole with Topological Surface States
Qi, X.-L., Li, R., Zang, J., & Zhang, S.-C. (2009) · Science · doi:10.1126/science.1167747 · Cited by 960 · see citing works
Dirac materials
Wehling, T. O., Black‐Schaffer, A. M., & Balatsky, A. V. (2014) · Advances In Physics · doi:10.1080/00018732.2014.927109 · Cited by 953 · see citing works
Magnetoelectric Polarizability and Axion Electrodynamics in Crystalline Insulators
Essin, A. M., Moore, J. E., & Vanderbilt, D. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.146805 · Cited by 947 · see citing works
Weyl semimetal phase in the non-centrosymmetric compound TaAs
Yang, L. X., Liu, Z. K., Sun, Y., Peng, H., Yang, H. F., Zhang, T., Zhou, B., Zhang, Y., Guo, Y. F., Rahn, M., et al. (2015) · Nature Physics · doi:10.1038/nphys3425 · Cited by 941 · see citing works
Magnetization switching through giant spin–orbit torque in a magnetically doped topological insulator heterostructure
Fan, Y., Upadhyaya, P., Kou, X., Lang, M., Takei, S., Wang, Z., Tang, J., He, L., Chang, L., Montazeri, M., et al. (2014) · Nature Materials · doi:10.1038/nmat3973 · Cited by 940 · see citing works
Discovery of a Weyl fermion state with Fermi arcs in niobium arsenide
Xu, S., Alidoust, N., Belopolski, I., Yuan, Z., Bian, G., Chang, T., Zheng, H., Strocov, V. N., Sanchez, D. S., Chang, G., et al. (2015) · Nature Physics · doi:10.1038/nphys3437 · Cited by 936 · see citing works
Self-citation
Tunable multifunctional topological insulators in ternary Heusler compounds
Chadov, S., Qi, X., Kübler, J., Fecher, G. H., Felser, C., & Zhang, S. C. (2010) · Nature Materials · doi:10.1038/nmat2770 · Cited by 927 · see citing works
Time reversal polarization and a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:msub> <mml:mi>Z</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math> adiabatic spin pump
Fu, L., & Kane, C. L. (2006) · Physical Review B · doi:10.1103/physrevb.74.195312 · Cited by 905 · see citing works
Giant Rashba-type spin splitting in bulk BiTeI
Ishizaka, K., Bahramy, M. S., Murakawa, H., Sakano, M., Shimojima, T., Sonobe, T., Koizumi, K., Shin, S., Miyahara, H., Kimura, A., et al. (2011) · Nature Materials · doi:10.1038/nmat3051 · Cited by 900 · see citing works
Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors
Qi, X.-L., Wu, Y.-S., & Zhang, S.-C. (2006) · Physical Review B · doi:10.1103/physrevb.74.085308 · Cited by 892 · see citing works
Two applications of axion electrodynamics
Wilczek, F. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.1799 · Cited by 875 · see citing works
Quantum Hall effects in a Weyl semimetal: Possible application in pyrochlore iridates
Yang, K., Lu, Y.-M., & Ran, Y. (2011) · Physical Review B · doi:10.1103/physrevb.84.075129 · Cited by 863 · see citing works
Quantum Oscillations and Hall Anomaly of Surface States in the Topological Insulator Bi 2 Te 3
Qu, D., Hor, Y. S., Xiong, J., Cava, R. J., & Ong, N. P. (2010) · Science · doi:10.1126/science.1189792 · Cited by 857 · see citing works
Quantum magnetoresistance
Abrikosov, A. A. (1998) · Physical Review B · doi:10.1103/physrevb.58.2788 · Cited by 848 · see citing works
Colloquium: Majorana fermions in nuclear, particle, and solid-state physics
Elliott, S. R., & Franz, M. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.137 · Cited by 839 · see citing works
Topological Kondo Insulators
Dzero, M., Sun, K., Galitski, V., & Coleman, P. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.106408 · Cited by 826 · see citing works
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 · cited 5× · see citing works
“(Tanaka et al. 2012; Dziawa et al. 2012; Xu, Liu, et al. 2012) To date this remains the only known TCI family verified by experiments.”
BackgroundResultInfluential
Odd-Parity Topological Superconductors: Theory and Application to Cu x Bi 2 Se 3
Fu, L., & Berg, E. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.097001 · Cited by 804 · see citing works
AIP Conference Proceedings
Díaz-Cruz, J. L., Hernández‐Sánchez, J., Moretti, S., & Rosado, A. (2008) · AIP conference proceedings · Cited by 800 · see citing works
Hexagonal Warping Effects in the Surface States of the Topological Insulator<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>Bi</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>Te</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:math>
Fu, L. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.266801 · Cited by 775 · see citing works
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 · see citing works
Self-citation
Quantum Spin Hall Effect in Inverted Type-II Semiconductors
Liu, C., Hughes, T. L., Qi, X.-L., Wang, K., & Zhang, S. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.236601 · Cited by 762 · see citing works
Surface states and topological invariants in three-dimensional topological insulators: Application to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mtext>Bi</mml:mtext></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mtext>Sb</mml:mtext></mml:mrow><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math>
Teo, J. C. Y., Fu, L., & Kane, C. L. (2008) · Physical Review B · doi:10.1103/physrevb.78.045426 · Cited by 761 · see citing works
Signatures of the Adler–Bell–Jackiw chiral anomaly in a Weyl fermion semimetal
Zhang, C.-L., Xu, S.-Y., Belopolski, I., Yuan, Z., Lin, Z., Tong, B., Bian, G., Alidoust, N., Lee, C.-C., Huang, S.-M., et al. (2016) · Nature Communications · doi:10.1038/ncomms10735 · Cited by 760 · see citing works
Self-citation
Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
Haldane, F. D. M. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.206602 · Cited by 760 · see citing works
Experimental Demonstration of Topological Surface States Protected by Time-Reversal Symmetry
Zhang, T., Cheng, P., Chen, X., Jia, J.-F., Ma, X., He, K., Wang, L., Zhang, H., Dai, X., Fang, Z., et al. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.266803 · Cited by 744 · see citing works
Quest for a universal density functional: the accuracy of density functionals across a broad spectrum of databases in chemistry and physics
Peverati, R., & Truhlar, D. G. (2014) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2012.0476 · Cited by 743 · 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
Half-Heusler ternary compounds as new multifunctional experimental platforms for topological quantum phenomena
Lin, H., Wray, L. A., Xia, Y., Xu, S., Jia, S., Cava, R. J., Bansil, A., & Hasan, M. Z. (2010) · Nature Materials · doi:10.1038/nmat2771 · Cited by 736 · see citing works
Self-citation
Detecting topological currents in graphene superlattices
Gorbachev, R., Song, J. C. W., Yu, G. L., Kretinin, A. V., Withers, F., Cao, Y., Mishchenko, A., Grigorieva, I. V., Novoselov, K. S., Levitov, L. S., et al. (2014) · Science · doi:10.1126/science.1254966 · Cited by 725 · see citing works
Time-Reversal-Invariant Topological Superconductors and Superfluids in Two and Three Dimensions
Qi, X.-L., Hughes, T. L., Raghu, S., & Zhang, S. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.187001 · Cited by 716 · see citing works
Large bulk resistivity and surface quantum oscillations in the topological insulator Bi 2 Te 2 Se
Ren, Z., Taskin, A. A., Sasaki, S., Segawa, K., & Ando, Y. (2010) · Physical Review B · doi:10.1103/physrevb.82.241306 · Cited by 698 · see citing works
Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
Fang, C., Gilbert, M. J., Dai, X., & Bernevig, B. A. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.266802 · Cited by 698 · see citing works
Chiral superconductivity from repulsive interactions in doped graphene
Nandkishore, R., Levitov, L. S., & Chubukov, A. V. (2012) · Nature Physics · doi:10.1038/nphys2208 · Cited by 695 · see citing works
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 · see citing works
Self-citation
Topological valley transport at bilayer graphene domain walls
Ju, L., Shi, Z., Nair, N., Lv, Y., Jin, C., Velasco, J., Ojeda-Aristizabal, C., Bechtel, H. A., Martin, M. C., Zettl, A., et al. (2015) · Nature · doi:10.1038/nature14364 · Cited by 680 · see citing works
Trajectory of the anomalous Hall effect towards the quantized state in a ferromagnetic topological insulator
Checkelsky, J. G., Yoshimi, R., Tsukazaki, A., Takahashi, K. S., Kozuka, Y., Falson, J., Kawasaki, M., & Tokura, Y. (2014) · Nature Physics · doi:10.1038/nphys3053 · Cited by 666 · see citing works
Antiferromagnetic topological insulators
Mong, R. S. K., Essin, A. M., & Moore, J. E. (2010) · Physical Review B · doi:10.1103/physrevb.81.245209 · Cited by 663 · see citing works
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi>p</mml:mi> </mml:math> -type <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mtext>Bi</mml:mtext> </mml:mrow> <mml:mn>2</mml:mn> </mml:msub> <mml:msub> <mml:mrow> <mml:mtext>Se</mml:mtext> </mml:mrow> <mml:mn>3</mml:mn> </mml:msub> </mml:mrow> </mml:math> for topological insulator and low-temperature thermoelectric applications
Hor, Y. S., Richardella, A., Roushan, P., Xia, Y., Checkelsky, J. G., Yazdani, A., Hasan, M. Z., Ong, N. P., & Cava, R. J. (2009) · Physical Review B · doi:10.1103/physrevb.79.195208 · Cited by 647 · see citing works
Large magnetoresistance in non-magnetic silver chalcogenides
Xu, R., Husmann, A., Rosenbaum, T. F., Saboungi, M.-L., Enderby, J. E., & Littlewood, P. B. (1997) · Nature · doi:10.1038/36306 · Cited by 645 · see citing works
Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
Murakami, S., 村上修一, & Murakami, S. (2019) · Tokyo Tech Research Repository (Tokyo Institute of Technology) · Cited by 640 · see citing works
Quantum Spin Hall Effect and Enhanced Magnetic Response by Spin-Orbit Coupling
Murakami, S. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.236805 · Cited by 639 · see citing works
Gate-Voltage Control of Chemical Potential and Weak Antilocalization in Bi2Se3
Chen, J., Qin, H. J., Yang, F., Liu, J., Guan, T., Qu, F., Zhang, G. H., Shi, J., Xie, X., Yang, C. L., et al. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.176602 · Cited by 636 · see citing works
The space group classification of topological band-insulators
Slager, R.-J., Mesaroš, A., Juričić, V., & Zaanen, J. (2012) · Nature Physics · doi:10.1038/nphys2513 · Cited by 631 · see citing works
The surfaces of bismuth: Structural and electronic properties
Hofmann, P. (2006) · Progress in Surface Science · doi:10.1016/j.progsurf.2006.03.001 · Cited by 617 · see citing works
Dirac Fermions in Solids: From High-Tc Cuprates and Graphene to Topological Insulators and Weyl Semimetals
Vafek, O., & Vishwanath, A. (2014) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031113-133841 · Cited by 614 · see citing works
Topological Anderson Insulator
Li, J., Chu, R.-L., Jain, J. K., & Shen, S.-Q. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.136806 · Cited by 605 · see citing works
Two-dimensional surface state in the quantum limit of a topological insulator
Analytis, J. G., McDonald, R. D., Riggs, S. C., Chu, J.-H., Boebinger, G. S., & Fisher, I. R. (2010) · Nature Physics · doi:10.1038/nphys1861 · Cited by 595 · see citing works
A topological insulator surface under strong Coulomb, magnetic and disorder perturbations
Wray, L. A., Xu, S.-Y., Xia, Y., Hsieh, D., Fedorov, A. V., Hor, Y. S., Cava, R. J., Bansil, A., Lin, H., & Hasan, M. Z. (2011) · Nature Physics · doi:10.1038/nphys1838 · Cited by 581 · see citing works
Self-citation
Band structure engineering in (Bi1−xSbx)2Te3 ternary topological insulators
Zhang, J., Chang, C., Zhang, Z., Wen, J., Feng, X., Li, K., Liu, M., He, K., Wang, L., Chen, X., et al. (2011) · Nature Communications · doi:10.1038/ncomms1588 · Cited by 566 · see citing works
The Coexistence of Superconductivity and Topological Order in the Bi 2 Se 3 Thin Films
Wang, M.-X., Liu, C., Xu, J.-P., Yang, F., Miao, L., Yao, M.-Y., Gao, C., Shen, C., Ma, X.-C., Chen, X., et al. (2012) · Science · doi:10.1126/science.1216466 · Cited by 560 · see citing works
Inversion-symmetric topological insulators
Hughes, T. L., Prodan, E., & Bernevig, B. A. (2011) · Physical Review B · doi:10.1103/physrevb.83.245132 · Cited by 552 · see citing works
Oscillatory crossover from two-dimensional to three-dimensional topological insulators
Liu, C., Zhang, H., Yan, B., Qi, X.-L., Frauenheim, T., Dai, X., Fang, Z., & Zhang, S. (2010) · Physical Review B · doi:10.1103/physrevb.81.041307 · Cited by 531 · see citing works
A Four-Dimensional Generalization of the Quantum Hall Effect
Zhang, S.-C., & Hu, J. (2001) · Science · doi:10.1126/science.294.5543.823 · Cited by 530 · see citing works
Photoinduced Topological Phase Transition and a Single Dirac-Cone State in Silicene
Ezawa, M. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.026603 · Cited by 525 · see citing works
Dynamical axion field in topological magnetic insulators
Li, R., Wang, J., Qi, X.-L., & Zhang, S. (2010) · Nature Physics · doi:10.1038/nphys1534 · Cited by 519 · see citing works
Topological superconducting phase in helical Shiba chains
Pientka, F., Glazman, L. I., & von Oppen, F. (2013) · Physical Review B · doi:10.1103/physrevb.88.155420 · Cited by 508 · see citing works
Topology of crystalline insulators and superconductors
Shiozaki, K., & Sato, M. (2014) · Physical Review B · doi:10.1103/physrevb.90.165114 · Cited by 506 · see citing works
Tunable multifunctional topological insulators in ternary Heusler compounds
Chadov, S., Qi, X.-L., Kübler, J., Fecher, G., Felser, C., & Zhang, S. (2010) · Max Planck Digital Library · Cited by 503 · see citing works
Landau quantization and quasiparticle interference in the three-dimensional Dirac semimetal Cd3As2
Jeon, S., Zhou, B. B., Gyenis, A., Feldman, B. E., Kimchi, I., Potter, A. C., Gibson, Q. D., Cava, R. J., Vishwanath, A., & Yazdani, A. (2014) · Nature Materials · doi:10.1038/nmat4023 · Cited by 489 · see citing works
Bulk topological invariants in noninteracting point group symmetric insulators
Fang, C., Gilbert, M. J., & Bernevig, B. A. (2012) · Physical Review B · doi:10.1103/physrevb.86.115112 · Cited by 482 · see citing works
Interface engineering of quantum Hall effects in digital transition metal oxide heterostructures
Xiao, D., Zhu, W., Ran, Y., Nagaosa, N., & Okamoto, S. (2011) · Nature Communications · doi:10.1038/ncomms1602 · Cited by 467 · see citing works
Development of ferromagnetism in the doped topological insulator Bi2−xMnxTe3
(2010) · doi:10.1103/physrevb.81.195203 · Cited by 466 · see citing works
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 · see citing works
Self-citation
Singular phase nano-optics in plasmonic metamaterials for label-free single-molecule detection
Kravets, V. G., Schedin, F., Jalil, R., Britnell, L., Gorbachev, R., Ansell, D., Thackray, B. D., Novoselov, K. S., Geim, A. K., Kabashin, A. V., et al. (2013) · Nature Materials · doi:10.1038/nmat3537 · Cited by 463 · see citing works
Topological Phase Transition and Texture Inversion in a Tunable Topological Insulator
Xu, S.-Y., Xia, Y., Wray, L. A., Jia, S., Meier, F., Dil, J. H., Osterwalder, J., Slomski, B., Bansil, A., Lin, H., et al. (2011) · Science · doi:10.1126/science.1201607 · Cited by 461 · see citing works
Self-citation
Electrical detection of charge-current-induced spin polarization due to spin-momentum locking in Bi2Se3
Li, C. H., Erve, O. M. J. V. ‘., Robinson, J. T., Liu, Y., Li, L., & Jonker, B. T. (2014) · Nature Nanotechnology · doi:10.1038/nnano.2014.16 · Cited by 459 · see citing works
Quantum Spin Hall Effect in a Transition Metal Oxide Na 2 IrO 3
Shitade, A., Katsura, H., Kuneš, J., Qi, X.-L., Zhang, S., & Nagaosa, N. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.256403 · Cited by 456 · see citing works
Gated silicene as a tunable source of nearly 100% spin-polarized electrons
Tsai, W.-F., Huang, C., Chang, T., Lin, H., Jeng, H., & Bansil, A. (2013) · Nature Communications · doi:10.1038/ncomms2525 · Cited by 452 · see citing works
Self-citation
Observation of topological surface state quantum Hall effect in an intrinsic three-dimensional topological insulator
Xu, Y., Miotkowski, I., Liu, C., Tian, J., Nam, H., Alidoust, N., Hu, J., Shih, C.-K., Hasan, M. Z., & Chen, Y. P. (2014) · Nature Physics · doi:10.1038/nphys3140 · Cited by 430 · see citing works
Robust Helical Edge Transport in Gated InAs / GaSb Bilayers
Du, L., Knez, I., Sullivan, G., & Du, R.-R. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.096802 · Cited by 421 · see citing works
Topological materials
Yan, B., & Zhang, S. (2012) · Reports on Progress in Physics · doi:10.1088/0034-4885/75/9/096501 · Cited by 412 · see citing works
Substitutional Alloy of Bi and Te at High Pressure
Zhu, L., Wang, H., Wang, Y., Lv, J., Ma, Y., Cui, Q., Ma, Y., & Zou, G. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.145501 · Cited by 411 · see citing works
Complete Solution of the Korringa-Kohn-Rostoker Coherent-Potential-Approximation Equations: Cu-Ni Alloys
Stocks, G. M., Temmerman, W. M., & Gyorffy, B. L. (1978) · Physical Review Letters · doi:10.1103/physrevlett.41.339 · Cited by 409 · see citing works
Valley-Polarized Quantum Anomalous Hall Effect in Silicene
Pan, H., Zhenshan, L., Liu, C., Zhu, G.-B., Qiao, Z., & Yao, Y. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.106802 · Cited by 402 · see citing works
One-dimensional topological edge states of bismuth bilayers
Drozdov, I., Alexandradinata, A., Jeon, S., Nadj-Perge, S., Ji, H., Cava, R. J., Bernevig, B. A., & Yazdani, A. (2014) · Nature Physics · doi:10.1038/nphys3048 · Cited by 401 · see citing works
Engineering a Robust Quantum Spin Hall State in Graphene via Adatom Deposition
Weeks, C., Hu, J., Alicea, J., Franz, M., & Wu, R. (2011) · Physical Review X · doi:10.1103/physrevx.1.021001 · Cited by 395 · see citing works
Ambipolar field effect in the ternary topological insulator (BixSb1–x)2Te3 by composition tuning
Kong, D., Chen, Y., Cha, J. J., Zhang, Q., Analytis, J. G., Lai, K., Liu, Z., Hong, S. S., Koski, K. J., Mo, S., et al. (2011) · Nature Nanotechnology · doi:10.1038/nnano.2011.172 · Cited by 393 · see citing works
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Self-citation
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Electronic structure and magnetism of Fe3−xVxX (X=Si, Ga, and Al) alloys by the KKR-CPA method
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Self-citation
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Self-citation
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Flagged first, then by citations

5 of the 645 references couldn’t be matched to a known paper.

Research works printed but not linked: 4

Denlinger, J. D., J. W. Allen, J.-S. Kang, K. Sun, B.-I. Min, D.-J. Kim, and Z. Fisk, 2013, 'SmB6 Photoemission: Past and Present,' http://my.arxiv.org/arxiv/FilterServlet/abs/131 2.6636.
Hoefer, K., C. Becker, D. Rata, J. Swanson, P. Thalmeier, and L. H. Tjeng, 2014, 'Intrinsic Conduction through Topological Surface States of Insulating Bi2Te3 Epitaxial Thin Films,' Proc. Natl. Acad. Sci. U. S. A. 111, 1497914984.
Thomas, S., D. J. Kim, S. B. Chung, T. Grant, Z. Fisk, and J. Xia, 2013, 'Weak Antilocalization and Linear Magnetoresistance in The Surface State of SmB6,' ArXiv13074133 Cond-Mat, http://arxiv.org/abs/1307.4133. · arXiv
Yang, M., and W.-M. Liu, 2014, 'The D-P BandInversion Topological Insulator in BismuthBased Skutterudites,' Scientific Reports 4 , http://www.nature.com/articles/srep05131.

Sorted by citations

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“…the extensive contributions of ab initio techniques to the discovery of topological materials (including Weyl and Dirac states) were reviewed in Bansil et al., 2016; Weng et al., 2016a. Kharzeev, 2014 reviews connections of Weyl fermions in solid-state physics to the chiral anomaly in quantum…”
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Self-citation
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Liu, F., Deng, H.-Y., & Wakabayashi, K. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.035442 · Cited by 138 · see citing works
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Zhang, X., Yu, Z., Zhu, Z., Wu, W., Wang, S., Sheng, X., & Yang, S. A. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.235150 · Cited by 133 · see citing works
Photonics meets topology
Xie, B.-Y., Wang, H., Zhu, X.-Y., Lu, M., Wang, Z., & Chen, Y. (2018) · Optics Express · doi:10.1364/oe.26.024531 · Cited by 133 · see citing works
Interacting Weyl fermions: Phases, phase transitions, and global phase diagram
Roy, B., Goswami, P., & Juričić, V. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.95.201102 · Cited by 136 · see citing works
Non-Hermitian route to higher-order topology in an acoustic crystal
Gao, H., Xue, H., Gu, Z., Liu, T., Zhu, J., & Zhang, B. (2021) · RePEc: Research Papers in Economics · Cited by 135 · see citing works
Symmetry-Protected Ideal Type-II Weyl Phonons in CdTe
Xia, B., Wang, R., Chen, Z., Zhao, Y. J., & Xu, H. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.065501 · Cited by 130 · see citing works
First-principles calculations for topological quantum materials
Xiao, J., & Yan, B. (2021) · Nature Reviews Physics · doi:10.1038/s42254-021-00292-8 · Cited by 131 · see citing works
Hall conductance of a non-Hermitian Chern insulator
Chen, Y., & Zhai, H. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.98.245130 · Cited by 128 · see citing works
Topological phononic metamaterials
Zhu, W., Deng, W., Liu, Y., Lu, J., Wang, H., Lin, Z., Huang, X., Jiang, J., & Liu, Z. (2023) · Reports on Progress in Physics · doi:10.1088/1361-6633/aceeee · Cited by 128 · see citing works
Terahertz detection based on nonlinear Hall effect without magnetic field
Zhang, Y., & Fu, L. (2021) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2100736118 · Cited by 125 · see citing works
Quadratic and cubic nodal lines stabilized by crystalline symmetry
Yu, Z., Wu, W., Sheng, X., Zhao, Y. X., & Yang, S. A. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.99.121106 · Cited by 123 · see citing works
Non-Hermitian Dirac Cones
Xue, H., Wang, Q., Zhang, B., & Chong, Y. D. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.236403 · Cited by 120 · see citing works
Pure spin photocurrent in non-centrosymmetric crystals: bulk spin photovoltaic effect
Xu, H., Wang, H., Zhou, J., & Li, J. (2021) · Nature Communications · doi:10.1038/s41467-021-24541-7 · Cited by 119 · see citing works
Magnetism and anomalous transport in the Weyl semimetal PrAlGe: possible route to axial gauge fields
Destraz, D., Das, L., Tsirkin, S. S., Xu, Y., Neupert, T., Chang, J., Schilling, A., Grushin, A. G., Kohlbrecher, J., Keller, L., et al. (2020) · npj Quantum Materials · doi:10.1038/s41535-019-0207-7 · Cited by 118 · see citing works
Floquet topological phases of non-Hermitian systems
Wu, H., & An, J. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.102.041119 · Cited by 117 · see citing works
Two-Dimensional Quadrupole Topological Insulator in γ-Graphyne
Liu, B., Zhao, G., Liu, Z., & Wang, Z. (2019) · Nano Letters · doi:10.1021/acs.nanolett.9b02719 · Cited by 117 · see citing works
Propagation and Localization of Collective Excitations on a 24-Qubit Superconducting Processor
Ye, Y., Ge, Z.-Y., Wu, Y., Wang, S., Gong, M., Zhang, Y.-R., Zhu, Q., Yang, R. L., Li, S., Liang, F., et al. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.050502 · Cited by 110 · see citing works
Antiferromagnetic ground state of La 2 CuO 4 : A parameter-free ab initio description
Lane, C., Furness, J. W., Buda, I. G., Zhang, Y., Markiewicz, R. S., Barbiellini, B., Sun, J., & Bansil, A. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.98.125140 · Cited by 115 · see citing works
Self-citation
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Yang, Y., Lu, J., Yan, M., Huang, X., Deng, W., & Liu, Z. (2021) · Physical Review Letters · doi:10.1103/physrevlett.126.156801 · Cited by 115 · see citing works
Topological spin excitations in a three-dimensional antiferromagnet
Yao, W., Li, C., Wang, L., Xue, S., Dan, Y., Iida, K., Kamazawa, K., Li, K., Fang, C., & Li, Y. (2018) · Nature Physics · doi:10.1038/s41567-018-0213-x · Cited by 114 · see citing works
Antiferromagnetic Topological Insulator with Nonsymmorphic Protection in Two Dimensions
Niu, C., Wang, H., Mao, N., Huang, B., Mokrousov, Y., & Dai, Y. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.066401 · Cited by 114 · see citing works
Jones Polynomial and Knot Transitions in Hermitian and non-Hermitian Topological Semimetals
Yang, Z., Chiu, C., Fang, C., & Hu, J. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.186402 · Cited by 112 · see citing works
Phase diagrams in materials science of topological insulators based on metal chalcogenides
Babanly, M. B., Chulkov, E. V., Aliev, Z. S., Shevelkov, А. V., & Amiraslanov, I. R. (2017) · Russian Journal of Inorganic Chemistry · doi:10.1134/s0036023617130034 · Cited by 116 · see citing works
Two-dimensional honeycomb borophene oxide: strong anisotropy and nodal loop transformation
Zhong, C., Wu, W., He, J., Ding, G., Liu, Y., Li, D., Yang, S. A., & Zhang, G. (2019) · Nanoscale · doi:10.1039/c8nr08729f · Cited by 111 · see citing works
Tuning Fermi Levels in Intrinsic Antiferromagnetic Topological Insulators MnBi 2 Te 4 and MnBi 4 Te 7 by Defect Engineering and Chemical Doping
Du, M., Yan, J., Cooper, V. R., & Eisenbach, M. (2020) · Advanced Functional Materials · doi:10.1002/adfm.202006516 · Cited by 110 · see citing works
Coexistent three-component and two-component Weyl phonons in TiS, ZrSe, and HfTe
Li, J., Xie, Q. L., Ullah, S., Li, R., Ma, H., Li, D., Li, Y., & Chen, X. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.054305 · Cited by 105 · see citing works
Linear magnetochiral transport in tilted type-I and type-II Weyl semimetals
Das, K., & Agarwal, A. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.99.085405 · Cited by 107 · see citing works
Bulk-Boundary Correspondence for Non-Hermitian Hamiltonians via Green Functions
Zirnstein, H.-G., Refael, G., & Rosenow, B. (2021) · Physical Review Letters · doi:10.1103/physrevlett.126.216407 · Cited by 111 · see citing works
Coupling of magnetic order and charge transport in the candidate Dirac semimetal EuCd2As2
Rahn, M. C., Soh, J.-R., Francoual, S., Veiga, L. S. I., Strempfer, J., Mardegan, J. R. L., Yan, D., Guo, Y., Shi, Y., & Timothy, B. A. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.214422 · Cited by 104 · see citing works
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Kanungo, S. K., Whalen, J. D., Lu, Y., Yuan, M., Dasgupta, S., Dunning, F. B., Hazzard, K. R. A., & Killian, T. C. (2022) · Nature Communications · doi:10.1038/s41467-022-28550-y · Cited by 103 · see citing works
Unsupervised Manifold Clustering of Topological Phononics
Long, Y., Ren, J., & Chen, H. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.185501 · Cited by 102 · see citing works

Authors: Bansil, A., Lin, H., & Das, T.
Affiliations: Northeastern University (US)
ORCID: Bansil, A.
Lin, Hsin
Das, Tanmoy
Venue: Reviews of Modern Physics
Publisher: American Physical Society (APS)
Published: 2016-06-29
Volume: 88
Issue: 2
ISSN: 0034-6861 (ISSN-L)
1539-0756
DOI: 10.1103/revmodphys.88.021004
OpenAlex: W2293673104
Cited by: 1,587
References: 645
Citations by year: 2026: 111 · 2025: 152 · 2024: 190 · 2023: 161 · 2022: 164 · 2021: 194 · 2020: 222 · 2019: 145 · 2018: 140 · 2017: 89 · 2016: 17
FWCI: 61.63
Type: journal article
Language: en
Open access: green
arxiv.org
Licence: link.aps.org/licenses/aps-default-license (vor)
link.aps.org/licenses/aps-default-accepted-manuscript-license (am, 365 d)
Locations: Reviews of Modern Physics (publishedVersion)
arXiv (Cornell University) (submittedVersion)
OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
arXiv (Cornell University) (public-domain)
Funders: U.S. Department of Energy (DE-FG02-07ER46352, DE-AC02-05CH11231, DE-SC0012575)
National Research Foundation Singapore (NRF-NRFF2013-03)
Topics: Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
Physical Sciences › Materials Science › Materials Chemistry › 2D Materials and Applications
Keywords: topological band theory, topological materials, topological phases, band topology, topological insulators, topological semimetals

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