Symmetry-based indicators for topological Bogoliubov–de Gennes Hamiltonians
We develop a systematic approach for constructing symmetry-based indicators of a topological classification for superconducting systems. The topological invariants constructed in this work form a complete set of symmetry-based indicators that can be computed from knowledge of the Bogoliubov–de Genne...
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Veröffentlicht in: | Physical review. B 2020-06, Vol.101 (24), p.1, Article 245128 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | We develop a systematic approach for constructing symmetry-based indicators of a topological classification for superconducting systems. The topological invariants constructed in this work form a complete set of symmetry-based indicators that can be computed from knowledge of the Bogoliubov–de Gennes Hamiltonian on high-symmetry points in the Brillouin zone. After excluding topological invariants corresponding to the phases without boundary signatures, we arrive at a natural generalization of symmetry-based indicators [H. C. Po, A. Vishwanath, and H. Watanabe, Nat. Commun. 8, 50 (2017)] to Hamiltonians of Bogoliubov–de Gennes type. |
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ISSN: | 2469-9950 2469-9969 |
DOI: | 10.1103/PhysRevB.101.245128 |