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arXiv · 1910.11271

Symmetry-based indicators for topological Bogoliubov-de Gennes Hamiltonians

Max Geier·Piet W. Brouwer·Luka Trifunovic
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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.

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Max Geier, Piet W. Brouwer, Luka Trifunovic. 2019-11-15. Symmetry-based indicators for topological Bogoliubov-de Gennes Hamiltonians. https://doi.org/10.1103/physrevb.101.245128

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