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Quantum Spin-Hall Effect and Topologically Invariant Chern Numbers
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“This Z 2 topological invariant keeps the same value even when spin-mixing terms are added, provided time-reversal symmetry is maintained (Kane and Mele, 2005b;Fu and Kane, 2006;Sheng et al., 2006;Roy, 2009).”
From Topological photonics (2019) · cites this paper as Sheng et al., 2006
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Cites
Electric Field Effect in Atomically Thin Carbon Films
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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
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
Laughlin, R. B. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.1395 · Cited by 5,749
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
Self-citation
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Cited by
Sorted by citations
Colloquium : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930
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
Topological insulators with inversion symmetry
Fu, L., & Kane, C. L. (2007) · Physical Review B · doi:10.1103/physrevb.76.045302 · Cited by 4,252
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
Lu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655
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
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
Photonic topological insulators
Khanikaev, A. B., Hossein Mousavi, S., Tse, W.-K., Kargarian, M., MacDonald, A. H., & Shvets, G. (2013) · Nature Materials · doi:10.1038/nmat3520 · Cited by 1,971
Time reversal polarization and a Z 2 adiabatic spin pump
Fu, L., & Kane, C. L. (2006) · Physical Review B · doi:10.1103/physrevb.74.195312 · Cited by 905
Teo, J. C. Y., Fu, L., & Kane, C. L. (2008) · Physical Review B · doi:10.1103/physrevb.78.045426 · Cited by 761
All-Si valley-Hall photonic topological insulator
Ma, T., & Shvets, G. (2016) · New Journal of Physics · doi:10.1088/1367-2630/18/2/025012 · Cited by 747
Quantum anomalous Hall effect and related topological electronic states
Weng, H., Yu, R., Hu, X., Dai, X., & Fang, Z. (2015) · Advances in Physics · doi:10.1080/00018732.2015.1068524 · Cited by 506
Finite Size Effects on Helical Edge States in a Quantum Spin-Hall System
Zhou, B., Lu, H.-Z., Chu, R.-L., Shen, S.-Q., & Niu, Q. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.246807 · Cited by 494
Ma, T., Khanikaev, A. B., Mousavi, S. H., & Shvets, G. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.127401 · Cited by 393
Topological Properties of Linear Circuit Lattices
Albert, V. V., Glazman, L. I., & Jiang, L. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.173902 · Cited by 352
Z2classification of quantum spin Hall systems: An approach using time-reversal invariance
Roy, R. (2009) · Physical Review B · doi:10.1103/physrevb.79.195321 · Cited by 299
Quantum simulation of 2D topological physics in a 1D array of optical cavities
Luo, X.-W., Zhou, X., Li, C.-F., Xu, J.-S., Guo, G.-C., & Zhou, Z.-W. (2015) · Nature Communications · doi:10.1038/ncomms8704 · Cited by 172
Ezawa, M. (2013) · Physical Review B · doi:10.1103/physrevb.88.161406 · Cited by 129
Scattering-free edge states between heterogeneous photonic topological insulators
Ma, T., & Shvets, G. (2017) · Physical Review B · doi:10.1103/physrevb.95.165102 · Cited by 122
Topological insulators beyond the Brillouin zone via Chern parity
Essin, A. M., & Moore, J. E. (2007) · Physical Review B · doi:10.1103/physrevb.76.165307 · Cited by 98
Metadata
- Authors
- Sheng, D. N., Weng, Z. Y., Sheng, L., & Haldane, F. D. M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2006-07-21
- Volume
- 97
- Issue
- 3
- ISSN
- 0031-9007
- 1079-7114
- Cited by
- 642
- References
- 4
- Language
- en
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