Symmetry-based indicators for topological Bogoliubov-de Gennes Hamiltonians

Abstract

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 Brillouin zone. After excluding topological invariants corresponding to the phases without boundary signatures, we arrive at natural generalization of symmetry-based indicators [H. C. Po, A. Vishwanath, and H. Watanabe, Nature Comm. 8, 50 (2017)] to Hamiltonians of Bogoliubov-de Gennes type.

arXiv comment51 pages (main text: 29 pages, appendices: 16 pages, supplementary material: 6 pages), 22 figures, v2: Extended discussion to literature, minor corrections

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