Beyond Band Insulators: Topology of Semimetals and Interacting Phases
Open accessThe 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.
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
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
Unpaired Majorana fermions in quantum wires
Kitaev, A. Y. (2001) · Physics-Uspekhi · doi:10.1070/1063-7869/44/10s/s29 · Cited by 4,776 · see citing works
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
Self-citationAxial vector vertex in spinor electrodynamics
Adler, S. L. (1969) · Physical Review · doi:10.1103/physrev.177.2426 · Cited by 4,275 · 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
A PCAC puzzle: π0→γγ in the σ-model
Bell, J. S., & Jackiw, R. (1969) · Il Nuovo Cimento A · doi:10.1007/bf02823296 · Cited by 3,284 · see citing works
The Universe in a Helium Droplet
Volovik, G. E. (2009) · doi:10.1093/acprof:oso/9780199564842.001.0001 · Cited by 2,632 · see citing works
Topological Entanglement Entropy
Kitaev, A., & Preskill, J. P. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.110404 · Cited by 2,409 · see citing works
Unpaired majorana fermions in quantum wiresPreprint
Kitaev, A. Y. (2000) · Cited by 2,407 · 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
Detecting Topological Order in a Ground State Wave Function
Levin, M., & Wen, X.-G. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.110405 · Cited by 2,084 · see citing works
Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott InsulatorPreprint
Wan, X., Turner, A. M., Vishwanath, A., et al. (2010) · arXiv (Cornell University) · doi:10.48550/arxiv.1007.0016 · Cited by 1,845 · see citing works
Self-citationSearch 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
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
The Adler-Bell-Jackiw anomaly and Weyl fermions in a crystal
Nielsen, H. B., & Ninomiya, M. (1983) · Physics Letters B · doi:10.1016/0370-2693(83)91529-0 · Cited by 1,708 · see citing works
Burkov, A. A., Hook, M. D., & Balents, L. (2011) · Physical Review B · doi:10.1103/physrevb.84.235126 · Cited by 1,677 · see citing works
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
Chiral anomaly and classical negative magnetoresistance of Weyl metals
Son, D. T., & Spivak, B. Z. (2013) · Physical Review B · doi:10.1103/physrevb.88.104412 · Cited by 1,378 · see citing works
Entanglement spectrum of a topological phase in one dimension
Pollmann, F., Turner, A. M., Berg, E., & Oshikawa, M. (2010) · Physical Review B · doi:10.1103/physrevb.81.064439 · Cited by 1,341 · see citing works
Self-citationSymmetry protected topological orders and the group cohomology of their symmetry group
Chen, X., Gu, Z., Liu, Z.-X., & Wen, X.-G. (2013) · Physical Review B · doi:10.1103/physrevb.87.155114 · Cited by 1,339 · see citing works
Murakami, S. (2007) · New Journal of Physics · doi:10.1088/1367-2630/9/9/356 · Cited by 1,176 · see citing works
Topological gauge theories and group cohomology
Dijkgraaf, R., & Witten, E. H. (1990) · Communications in Mathematical Physics · doi:10.1007/bf02096988 · Cited by 1,144 · 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
Classification of gapped symmetric phases in one-dimensional spin systems
Chen, X., Gu, Z., & Wen, X.-G. (2011) · Physical Review B · doi:10.1103/physrevb.83.035107 · Cited by 969 · see citing works
Topological response in Weyl semimetals and the chiral anomaly
Zyuzin, A. A., & Burkov, A. A. (2012) · Physical Review B · doi:10.1103/physrevb.86.115133 · Cited by 906 · 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
Topological phases of fermions in one dimension
Fidkowski, L., & Kitaev, A. (2011) · Physical Review B · doi:10.1103/physrevb.83.075103 · Cited by 861 · see citing works
Classifying quantum phases using matrix product states and projected entangled pair states
Schuch, N., Pérez-Garcı́a, D., & Cirac, J. I. (2011) · Physical Review B · doi:10.1103/physrevb.84.165139 · Cited by 794 · see citing works
Weyl points and line nodes in gyroid photonic crystals
Lü, L., Fu, L., Joannopoulos, J. D., & Marin Soljacic, A. (2013) · Nature Photonics · doi:10.1038/nphoton.2013.42 · Cited by 677 · see citing works
The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics
Dyson, F. J. (1962) · Journal of Mathematical Physics · doi:10.1063/1.1703863 · Cited by 671 · see citing works
Murakami, S., 村上修一, & Murakami, S. (2019) · Tokyo Tech Research Repository (Tokyo Institute of Technology) · Cited by 640 · see citing works
Braiding statistics approach to symmetry-protected topological phases
Levin, M., & Gu, Z. (2012) · Physical Review B · doi:10.1103/physrevb.86.115109 · Cited by 603 · see citing works
Effects of interactions on the topological classification of free fermion systems
Fidkowski, L., & Kitaev, A. (2010) · Physical Review B · doi:10.1103/physrevb.81.134509 · Cited by 572 · see citing works
Topological phases of one-dimensional fermions: An entanglement point of view
Turner, A. M., Pollmann, F., & Berg, E. (2011) · Physical Review B · doi:10.1103/physrevb.83.075102 · Cited by 554 · see citing works
Self-citationBerry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
Son, D. T., & Yamamoto, N. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.181602 · Cited by 539 · see citing works
Accidental Degeneracy in the Energy Bands of Crystals
Herring, C. (1937) · Physical Review · doi:10.1103/physrev.52.365 · Cited by 531 · see citing works
(1929) · Physikalische Zeitschrift · Cited by 530 · see citing works
Vishwanath, A., & Senthil, T. (2013) · Physical Review X · doi:10.1103/physrevx.3.011016 · Cited by 515 · see citing works
Self-citationLu, Y.-M., & Vishwanath, A. (2012) · Physical Review B · doi:10.1103/physrevb.86.125119 · Cited by 512 · see citing works
Self-citationCharge Transport in Weyl Semimetals
Hosur, P., Parameswaran, S. A., & Vishwanath, A. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.046602 · Cited by 466 · see citing works
Self-citationRenard, J. P., Verdaguer, M., Régnault, L. P., et al. (1987) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/3/8/013 · Cited by 439 · see citing works
Two-dimensional symmetry-protected topological orders and their protected gapless edge excitations
Chen, X., Liu, Z.-X., & Wen, X.-G. (2011) · Physical Review B · doi:10.1103/physrevb.84.235141 · Cited by 431 · see citing works
Observation ofS=1/2 degrees of freedom in anS=1 linear-chain Heisenberg antiferromagnet
Hagiwara, M., Katsumata, K., Affleck, I. K., et al. (1990) · Physical Review Letters · doi:10.1103/physrevlett.65.3181 · Cited by 400 · see citing works
Topological and magnetic phases of interacting electrons in the pyrochlore iridates
Witczak-Krempa, W., & Kim, Y. B. (2012) · Physical Review B · doi:10.1103/physrevb.85.045124 · Cited by 384 · see citing works
Time-reversal invariant realization of the Weyl semimetal phase
Halász, G. B., & Balents, L. (2012) · Physical Review B · doi:10.1103/physrevb.85.035103 · Cited by 372 · see citing works
Topology of Andreev bound states with flat dispersion
Sato, M., Tanaka, Y., Yada, K., & Yokoyama, T. (2011) · Physical Review B · doi:10.1103/physrevb.83.224511 · Cited by 331 · see citing works
Flat bands in topological media
Heikkilä, T. T., Kopnin, N. B., & Volovik, G. E. (2011) · JETP Letters · doi:10.1134/s0021364011150045 · Cited by 329 · see citing works
Chiral gauge field and axial anomaly in a Weyl semimetal
Liu, C.-X., Ye, P., & Qi, X.-L. (2013) · Physical Review B · doi:10.1103/physrevb.87.235306 · Cited by 325 · see citing works
Fractional topological insulators.
Levin, M., & Stern, A. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.196803 · Cited by 319 · see citing works
Stability of Fermi Surfaces and K Theory
Hořava, P. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.016405 · Cited by 305 · see citing works
Topological phases and surface flat bands in superconductors without inversion symmetry
Schnyder, A. P., & Ryu, S. (2011) · Physical Review B · doi:10.1103/physrevb.84.060504 · Cited by 272 · see citing works
Meng, T., & Balents, L. (2012) · Physical Review B · doi:10.1103/physrevb.86.054504 · Cited by 254 · see citing works
Adler-Bell-Jackiw anomaly in Weyl semimetals: Application to pyrochlore iridates
Aji, V. (2012) · Physical Review B · doi:10.1103/physrevb.85.241101 · Cited by 247 · see citing works
Hidden Order in 1D Bose Insulators
Torre, E. G. D., Berg, E., & Altman, E. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.260401 · Cited by 246 · see citing works
BRAID STATISTICS IN LOCAL QUANTUM THEORY
Fröhlich, J. M., & Gabbiani, F. (1990) · Reviews in Mathematical Physics · doi:10.1142/s0129055x90000107 · Cited by 236 · see citing works
Integer Quantum Hall Effect for Bosons
Senthil, T., & Levin, M. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.046801 · Cited by 229 · see citing works
Metal-Nonmetal Changeover in Pyrochlore Iridates
Yanagishima, D., & Maeno, Y. (2001) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.70.2880 · Cited by 212 · see citing works
Cho, G. Y., Bardarson, J. H., Lu, Y.-M., & Moore, J. E. (2012) · Physical Review B · doi:10.1103/physrevb.86.214514 · Cited by 196 · see citing works
Existence of bulk chiral fermions and crystal symmetry
Mañes, J. L. (2012) · Physical Review B · doi:10.1103/physrevb.85.155118 · Cited by 193 · see citing works
Classification and analysis of two-dimensional Abelian fractional topological insulators
Levin, M., & Stern, A. (2012) · Physical Review B · doi:10.1103/physrevb.86.115131 · Cited by 190 · see citing works
Fractional Topological Insulators in Three Dimensions
Maciejko, J., Qi, X.-L., Karch, A., & Zhang, S. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.246809 · Cited by 174 · see citing works
Chiral topological insulators, superconductors, and other competing orders in three dimensions
Hosur, P., Ryu, S., & Vishwanath, A. (2010) · Physical Review B · doi:10.1103/physrevb.81.045120 · Cited by 149 · see citing works
Self-citationQi, X.-L. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/6/065002 · Cited by 147 · see citing works
Correlated topological insulators and the fractional magnetoelectric effect
Swingle, B. G., Barkeshli, M., McGreevy, J., & Senthil, T. (2011) · Physical Review B · doi:10.1103/physrevb.83.195139 · Cited by 144 · see citing works
Types of topological surface states in nodal noncentrosymmetric superconductors
Schnyder, A. P., Brydon, P. M. R., & Timm, C. (2012) · Physical Review B · doi:10.1103/physrevb.85.024522 · Cited by 144 · see citing works
Excitonic Phases from Weyl Semimetals
Wei, H., Chao, S.-P., & Aji, V. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.196403 · Cited by 126 · see citing works
Computational Design of Axion Insulators Based on 5 d Spinel Compounds
Wan, X., Vishwanath, A., & Savrasov, S. Y. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.146601 · Cited by 123 · see citing works
Self-citationMagnetic properties of iridium pyrochlores R2Ir2O7(R = Y, Sm, Eu and Lu)
Taira, N., Wakeshima, M., & Hinatsu, Y. (2001) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/13/23/312 · Cited by 121 · see citing works
Magnetic orders and topological phases from f - d exchange in pyrochlore iridates
Chen, G., & Hermele, M. (2012) · Physical Review B · doi:10.1103/physrevb.86.235129 · Cited by 115 · see citing works
Topological Weyl semi-metal from a lattice model
Delplace, P., Li, J., & Carpentier, D. (2012) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/97/67004 · Cited by 114 · see citing works
(2011) · doi:10.1103/physrevb.85.205104 · Cited by 112 · see citing works
Topologically protected flat zero-energy surface bands in noncentrosymmetric superconductors
Brydon, P. M. R., Schnyder, A. P., & Timm, C. (2011) · Physical Review B · doi:10.1103/physrevb.84.020501 · Cited by 107 · see citing works
Topologically stable gapless phases of time-reversal-invariant superconductors
Béri, B. (2010) · Physical Review B · doi:10.1103/physrevb.81.134515 · Cited by 107 · see citing works
Nodal structure of superconductors with time-reversal invariance and Z2 topological number
Sato, M. (2006) · Physical Review B · doi:10.1103/physrevb.73.214502 · Cited by 106 · see citing works
Zhao, S., Mackie, J. M., MacLaughlin, D. E., Bernal, O. O., Ishikawa, J. J., Ohta, Y., & Nakatsuji, S. (2011) · Physical Review B · doi:10.1103/physrevb.83.180402 · Cited by 90 · see citing works
Symmetry-Protected Quantum Spin Hall Phases in Two Dimensions
Liu, Z.-X., & Wen, X.-G. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.067205 · Cited by 79 · see citing works
Sau, J. D., & Tewari, S. (2012) · Physical Review B · doi:10.1103/physrevb.86.104509 · Cited by 75 · see citing works
Chiral symmetry on the edge of two-dimensional symmetry protected topological phases
Chen, X., & Wen, X.-G. (2012) · Physical Review B · doi:10.1103/physrevb.86.235135 · Cited by 41 · see citing works
Topological Fermi arcs in superfluid 3 He
Силаев, М. А., & Volovik, G. E. (2012) · Physical Review B · doi:10.1103/physrevb.86.214511 · Cited by 39 · see citing works
Wang, F., & Lee, D.-H. (2012) · Physical Review B · doi:10.1103/physrevb.86.094512 · Cited by 36 · see citing works
Momentum space topology of fermion zero modes brane
Воловик, Г. Е. (2002) · Journal of Experimental and Theoretical Physics Letters · doi:10.1134/1.1466475 · Cited by 24 · see citing works
Magnetic studies of end-chain spin effects in the Haldane-gap material Ni(C3H10N2)2N3(ClO4)
Granroth, G. E., Maegawa, S., Meisel, M. W., et al. (1998) · Physical review. B, Condensed matter · doi:10.1103/physrevb.58.9312 · Cited by 17 · see citing works
Topological antiferromagnetic spin-density-wave phase in an extended Kondo lattice model
Zhong, Y., Wang, Y., Wang, Y., et al. (2013) · Physical Review B · doi:10.1103/physrevb.87.035128 · Cited by 9 · see citing works
Mesoscopic p -wave superconductor near the phase transition temperature
Huang, B.-L., & Yip, S. (2013) · Physical Review B · doi:10.1103/physrevb.87.064507 · Cited by 2 · see citing works
Flagged first, then by citations
Research works printed but not linked: 60
- M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. 82, 3045 (2010).
- X.-L. Qi and S.-C. Zhang, Rev. Mod. Phys. 83, 1057 (2011).
- Andreas P. Schnyder, Shinsei Ryu, Akira Furusaki, An- dreas W. W. Ludwig, Phys. Rev. B 78, 195125 (2008).
- Alexei Kitaev, arXiv:0901.2686. · arXiv
- Xiangang Wan, Ari M. Turner, Ashvin Vishwanath, and Sergey Y. Savrasov Phys. Rev. B 83, 205101 (2011).
- S. Adler, Phys. Rev. 177, 2426 (1969).
- Xie Chen, Zheng-Cheng Gu, Zheng-Xin Liu, Xiao-Gang Wen, arXiv:1106.4772. · arXiv
- Yuan-Ming Lu and Ashvin Vishwanath, Phys. Rev. B 86, 125119 (2012).
- T. Senthil, Michael Levin, arXiv:1206.1604 · arXiv
- Xie Chen, Xiao-Gang Wen, arXiv:1206.3117. · arXiv
- Zheng-Xin Liu, Xiao-Gang Wen, arXiv:1205.7024. · arXiv
- G. E. Volovik, JETP Lett. 75, 55 (2002).
- Kai-Yu Yang, Yuan-Ming Lu, Ying Ran, Phys. Rev. B 84, 075129 (2011).
- H. B. Nielsen and Masao Ninomiya, Phys. Lett. B 130, 389 (1983).
- C. Herring, Phys. Rev. 52, 365 (1937).
- S. Murakami, New J. Phys. 9,356 (2007).
- P. Hosur, S. Ryu, A. Vishwanath, Phys. Rev. B, 81, 045120 (2010).
- M. Sato, Phys. Rev. B 73, 214502 (2006) and B. Béri, Phys. Rev. B 81 134515 (2010).
- P. M. R. Brydon, An- dreas P. Schnyder, and Carsten Timm, Phys. Rev. B 84, 020501 (2011), Fa Wang and Dung-Hai Lee, Phys. Rev. B 86 094512 (2012).
- M.A. Silaev, G.E. Volovik, arXiv:1209.3368. · arXiv
- A.A. Burkov, M.D. Hook and Leon Balents, Phys. Rev. B 84, 235126 (2011).
- A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim Rev. Mod. Phys. 81, 109 (2009).
- D. Yanagishima, and Y. Maeno, J. Phys. Soc. Jpn. 70, 2880 (2001).
- N. Taira, M. Wakeshima and Y. Hinatsu, J. Phys.: Condens. Matter 13, 5527 (2001).
- Songrui Zhao, J.M. Mackie, D.E. MacLaughlin, O.O. Bernal, J.J. Ishikawa, Y.Ohta, and S. Nakatsuji, Phys. Rev. B 83, 180402 (2011).
- F. F. Tafti, J. J. Ishikawa, A. McCollam, S. Nakatsuji, and S. R. Julian, Phys. Rev. B 85, 205104 (2012).
- William Witczak-Krempa and Yong Baek Kim, Phys. Rev. B 85, 045124 (2012).
- Gang Chen, Michael Hermele, arXiv:1208.4853. · arXiv
- Xiangang Wan, Ashvin Vishwanath, and Sergey Y. Savrasov Phys. Rev. Lett. 108, 146601 (2012).
- Gil Young Cho, arXiv:1110.1939. · arXiv
- Gang Xu, Hongming Weng, Zhijun Wang, Xi Dai, and Zhong Fang Phys. Rev. Lett. 107, 186806 (2011).
- Ling Lu, Liang Fu, John D. Joannopoulos and Marin Soljačić, arXiv:1207.0478. · arXiv
- J. L. Mañes, Phys. Rev. B 85, 155118 (2012)
- Pavan Hosur, S. A. Parameswaran, Ashvin Vishwanath, Phys. Rev. Lett. 108, 046602 (2012).
- Vivek Aji, Phys. Rev. B 85, 241101 (2012).
- D. T. Son, B. Z. Spivak, arXiv:1206.1627. · arXiv
- Zhong Wang, Shou-Cheng Zhang, arXiv:1207.5234. · arXiv
- Huazhou Wei, Sung-Po Chao, Vivek Aji, arXiv:1207.5065. · arXiv
- Tobias Meng, Leon Balents, Phys. Rev. B 86, 054504 (2012).
- Gil Young Cho, Jens H. Bardarson, Yuan-Ming Lu, Joel E. Moore, arXiv:1209.2235. · arXiv
- Chao-Xing Liu, Peng Ye, Xiao-Liang Qi, arXiv:1204.6551. · arXiv
- M. Levin and X.-G. Wen, Phys. Rev. Lett. 96, 110405 (2006);
- A. Kitaev and J. Preskill, Phys. Rev. Lett. 96, 110404 (2006) .
- M. Hagiwara, K. Katsumata, Ian Affleck, B.I. Halperin, and J.P. Renard, Phys. Rev. Lett. 65, 3181 (1990).
- G.E. Granroth et al., Phys. Rev. B 58, 9312 (1998).
- Emanuele G. Dalla Torre, Erez Berg, and Ehud Altman Phys. Rev. Lett. 97, 260401 (2006).
- see also Carlo Beenakker, arXiv:1112.1950 and its references. · arXiv
- Zheng-Cheng Gu, Xiao-Gang Wen, arXiv:1201.2648. · arXiv
- Xiao-Liang Qi, arXiv:1202.3983. · arXiv
- Shinsei Ryu and Shou- Cheng Zhang, Phys. Rev. B 85 245132. Hong Yao and Shinsei Ryu, arXiv:1202.5805. · arXiv
- Levin, Michael and Zheng-Cheng Gu, Phys. Rev. B 86, 115109 (2012).
- L. Fidkowski and A. M. Turner, in preparation. 65 Robbert Dijkgraaf and Edward Witten, Comm. Math. Phys. Volume 129, 393 (1990).
- Fröhlich, J. and F. Gabbiani, Rev. in Math. Phys. 2, 251 (1990);
- Rehren, K.H. in The Algebraic Theory of Super- selection Sectors: Introduction and Recent Results, Pro- ceedings of the Convegno Internationale Algebraic The- ory of Superselection Sectors and Field Theory, Instituto Scientifico Internationale G.B. Guccia,Palermo 1989, D. Kastler, ed. Singapore: World Scientific Publishing (1990).
- See also Kitaev, A., Annals Of Phys. 321 (2006).
- Levin, Michael and Ady Stern, Phys. Rev. Lett. 103, 196803 (2009);
- Joseph Maciejko, Xiao-Liang Qi, Andreas Karch, Shou- Cheng Zhang, Phys. Rev. Lett. 105, 246809 (2010).
- B. Swingle, M. Barkeshli, J. McGreevy and T. Senthil, Phys. Rev. B 83, 195139 (2011).
- A. Vishwanath and T. Senthil, arXiv:1209.3058. · arXiv
- B. Swingle, arXiv:1209.0776. · arXiv
Cited by
Sorted by citations
Weyl and Dirac semimetals in three-dimensional solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.015001 · Cited by 4,528 · see citing works
Self-citation<i>Colloquium</i> : Topological band theory
Bansil, A., Lin, H., & Das, T. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.021004 · Cited by 1,587 · 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
Shekhar, C., Nayak, A. K., Sun, Y., Schmidt, M., Nicklas, M., Leermakers, I., Zeitler, U., Skourski, Y., Wosnitza, J., Liu, Z., et al. (2015) · Nature Physics · doi:10.1038/nphys3372 · Cited by 1,151 · see citing works
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 · 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
Recent developments in transport phenomena in Weyl semimetals
Hosur, P., & Qi, X. (2013) · Comptes Rendus. Physique · doi:10.1016/j.crhy.2013.10.010 · Cited by 743 · see citing works
Quantum oscillations from surface Fermi arcs in Weyl and Dirac semimetals
Potter, A. C., Kimchi, I., & Vishwanath, A. (2014) · Nature Communications · doi:10.1038/ncomms6161 · Cited by 558 · see citing works
Self-citationProbing the Chiral Anomaly with Nonlocal Transport in Three-Dimensional Topological Semimetals
Parameswaran, S. A., Grover, T., Abanin, D. A., Pesin, D. A., & Vishwanath, A. (2014) · Physical Review X · doi:10.1103/physrevx.4.031035 · Cited by 442 · see citing works
Self-citationTopological Photonic Phase in Chiral Hyperbolic Metamaterials
Gao, W., Lawrence, M., Yang, B., Liu, F., Fang, F., Béri, B., Li, J., & Zhang, S. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.037402 · Cited by 314 · see citing works
Topological Semimetals from First Principles
Gao, H., Venderbos, J. W. F., Kim, Y., & Rappe, A. M. (2019) · Annual Review of Materials Research · doi:10.1146/annurev-matsci-070218-010049 · Cited by 263 · see citing works
Photonic Weyl point in a two-dimensional resonator lattice with a synthetic frequency dimension
Lin, Q., Xiao, M., Yuan, L., & Fan, S. (2016) · Nature Communications · doi:10.1038/ncomms13731 · Cited by 233 · see citing works
Evidence of Topological Surface State in Three-Dimensional Dirac Semimetal Cd3As2
Yi, H., Wang, Z., Chen, C., Shi, Y., Feng, Y., Liang, A., Xie, Z., He, S., He, J., Peng, Y., et al. (2014) · Scientific Reports · doi:10.1038/srep06106 · Cited by 190 · see citing works
Chang, G., Xu, S.-Y., Zheng, H., Singh, B., Hsu, C.-H., Bian, G., Alidoust, N., Belopolski, I., Sanchez, D. S., Zhang, S., et al. (2016) · Scientific Reports · doi:10.1038/srep38839 · Cited by 191 · see citing works
Electron scattering in tantalum monoarsenide
Zhang, C.-L., Yuan, Z., Jiang, Q.-D., Tong, B., Zhang, C., Xie, X. C., & Jia, S. (2017) · Physical Review B · doi:10.1103/physrevb.95.085202 · Cited by 155 · see citing works
Zheng, H., Xu, S.-Y., Bian, G., Guo, C., Chang, G., Sanchez, D. S., Belopolski, I., Lee, C.-C., Huang, S.-M., Zhang, X., et al. (2016) · ACS Nano · doi:10.1021/acsnano.5b06807 · Cited by 129 · see citing works
- Authors
- Turner, A. M., & Vishwanath, A.
- Affiliations
- Institute for Theoretical Physics Amsterdam (NL)
- University of California, Berkeley (US)
- ORCID
- Vishwanath, Ashvin
- Venue
- Contemporary Concepts of Condensed Matter Science
- Publisher
- Elsevier
- Published
- 2013
- Pages
- 293-324
- ISSN
- 1572-0934 (ISSN-L)
- OpenAlex
- W1816821686
- Cited by
- 164
- References
- 86
- Citations by year
- 2026: 1 · 2025: 4 · 2024: 1 · 2023: 6 · 2022: 5 · 2021: 12 · 2020: 10 · 2019: 14 · 2018: 15 · 2017: 34 · 2016: 26 · 2015: 22 · 2014: 8 · 2013: 6
- FWCI
- 80.63
- Type
- book chapter
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Contemporary concepts of condensed matter science (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (1206728)
- Division of Materials Research
- 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 › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- topological semimetals, Weyl semimetals, gapless topological phases, topological edge states, surface states, symmetry-protected topological phases, interacting fermions, fractional quantum Hall states
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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