The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Quantum Spin Hall Effect in Three Dimensional Materials: Lattice Computation of Z2 Topological Invariants and Its Application to Bi and Sb
Open accessAbstract
We derive an efficient formula for Z$_2$ topological invariants characterizing the quantum spin Hall effect. It is defined in a lattice Brillouin zone, which enables us to implement numerical calculations for realistic models even in three dimensions. Based on this, we study the quantum spin Hall effect in Bi and Sb in quasi-two and three dimensions using a tight-binding model.
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Citations
Cites
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
Z 2 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
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
Topological insulators with inversion symmetry
Fu, L., & Kane, C. L. (2007) · Physical Review B · doi:10.1103/physrevb.76.045302 · Cited by 4,252
Chern number and edge states in the integer quantum Hall effect
Hatsugai, Y. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.3697 · Cited by 1,499
Self-citationElectronic structure of the semimetals Bi and Sb
Liu, Y., & Allen, R. E. (1995) · Physical Review B · doi:10.1103/physrevb.52.1566 · Cited by 375
Cited by
Colloquium : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930
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
WannierTools: An open-source software package for novel topological materials
Wu, Q., Zhang, S., Song, H.-F., Troyer, M., & Soluyanov, A. A. (2018) · Computer Physics Communications · doi:10.1016/j.cpc.2017.09.033 · Cited by 2,724
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
Colloquium : Topological band theory
Bansil, A., Lin, H., & Das, T. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.021004 · Cited by 1,587
Metadata
- Authors
- Fukui, T., & Hatsugai, Y.
- Venue
- Journal of the Physical Society of Japan
- Publisher
- Physical Society of Japan
- Published
- 2007-05-15
- Volume
- 76
- Issue
- 5
- Pages
- 053702
- ISSN
- 0031-9015 (ISSN-L)
- 1347-4073
- OpenAlex
- W1991681341
- Cited by
- 245
- References
- 6
- FWCI
- 2.85
- Type
- journal article
- Language
- en
- Open access
- green
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- Fukui, T., & Hatsugai, Y. (2007). Quantum Spin Hall Effect in Three Dimensional Materials: Lattice Computation of Z2 Topological Invariants and Its Application to Bi and Sb. Journal of the Physical Society of Japan. https://doi.org/10.1143/jpsj.76.053702
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