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