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Symmetry-based indicators for topological Bogoliubov-de Gennes Hamiltonians

Max Geier, Dahlem Center for Complex Quantum Systems and Physics Department, Freie Universität Berlin


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 a natural generalization of
symmetry-based indicators [1] to Hamiltonians of Bogoliubov-de Gennes type.

[1] H. C. Po, A. Vishwanath, and H. Watanabe, Nature Comm. 8, 50 (2017).

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