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Atomic limit and inversion-symmetry indicators for topological superconductors
- Source :
- Phys. Rev. Research 2, 013064 (2020)
- Publication Year :
- 2019
-
Abstract
- Symmetry indicators have proven to be extremely helpful in identifying topologically non-trivial crystalline insulators using symmetry-group representations of their Bloch states. An extension of this approach to superconducting systems requires defining an appropriate atomic limit for Bogoliubov-de-Gennes Hamiltonians. Here, we introduce such a notion of atomic limit and derive a $\mathbb{Z}_{2^d}$-valued symmetry indicator for inversion-symmetric superconductors of $d$ dimensions. This indicator allows for a refined topological classification including higher-order phases for systems in the superconducting symmetry classes D and DIII. We further elucidate the bulk-boundary correspondence of these phases using Dirac surface theories. Requiring only the normal-state band structure and the superconducting order-parameter symmetry as an input, this indicator is well suited for a search of topological superconductors using first-principles calculations.<br />Comment: 5 pages, 1 figure, 2 tables
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. Research 2, 013064 (2020)
- Publication Type :
- Report
- Accession number :
- edsarx.1906.11267
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevResearch.2.013064