The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Topological invariants for the Fermi surface of a time-reversal-invariant superconductor
Open accessAbstract
A time-reversal-invariant (TRI) topological superconductor has a full pairing gap in the bulk and topologically protected gapless states on the surface or at the edge. In this paper, we show that in the weak pairing limit, the topological quantum number of a TRI superconductor can be completely determined by the Fermi-surface properties and is independent of the electronic structure away from the Fermi surface. In three dimensions, the integer topological quantum number in a TRI superconductor is determined by the sign of the pairing order parameter and the first Chern number of the Berry phase gauge field on the Fermi surfaces. In two dimensions and one dimension, the ${Z}_{2}$ topological quantum number of a TRI superconductor is determined simply by the sign of the pairing order parameter on the Fermi surfaces. Our results could directly aid the search for topological superconductors in real materials.
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Citations
Cites
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
Self-citationQuantized Hall Conductance in a Two-Dimensional Periodic Potential
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Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface
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Self-citationQuantum 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
Self-citationTopological 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
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Observation of a large-gap topological-insulator class with a single Dirac cone on the surface
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Experimental Realization of a Three-Dimensional Topological Insulator, Bi 2 Te 3
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Self-citationA topological Dirac insulator in a quantum spin Hall phase
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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
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
Self-citationWeyl 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
“Turning to pairing in T symmetric Weyl semimetals, time reversal invariant pairing is expected to gap the nodes but could potentially lead directly to topological superconductivity as discussed in (Hosur et al., 2014; Li and Haldane, 2015; Qi et al., 2010).”
BackgroundClassification of topological quantum matter with symmetries
Chiu, C.-K., Teo, J. C. Y., Schnyder, A. P., & Ryu, S. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.035005 · Cited by 2,736
Dirac semimetal and topological phase transitions in A 3 Bi ( A = Na , 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
Metadata
- Authors
- Qi, X.-L., Hughes, T. L., & Zhang, S.-C.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2010-04-05
- Volume
- 81
- Issue
- 13
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2150786102
- Cited by
- 292
- References
- 12
- FWCI
- 10.17
- Type
- journal article
- Language
- en
- Open access
- green
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