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Atomic limit and inversion-symmetry indicators for topological superconductors


Skurativska, Anastasiia; Neupert, Titus; Fischer, Mark H (2020). Atomic limit and inversion-symmetry indicators for topological superconductors. Physical Review Research, 2(1):013064.

Abstract

Symmetry indicators have proven to be extremely helpful in identifying topological 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 Z2d-valued symmetry indicator for inversion-symmetric superconductors in 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 their bulk-boundary correspondence using Dirac surface theories. Requiring only the normal-state band structure and the superconducting order-parameter symmetry as input, this indicator is well suited for a search of topological superconductors using first-principles calculations.

Abstract

Symmetry indicators have proven to be extremely helpful in identifying topological 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 Z2d-valued symmetry indicator for inversion-symmetric superconductors in 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 their bulk-boundary correspondence using Dirac surface theories. Requiring only the normal-state band structure and the superconducting order-parameter symmetry as input, this indicator is well suited for a search of topological superconductors using first-principles calculations.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Language:English
Date:21 January 2020
Deposited On:17 Mar 2020 12:27
Last Modified:17 Mar 2020 12:27
Publisher:American Physical Society
ISSN:2643-1564
OA Status:Green
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1103/physrevresearch.2.013064
Related URLs:https://www.zora.uzh.ch/id/eprint/179186/

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