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.
Keywords
Cite
@article{arxiv.1910.11271,
title = {Symmetry-based indicators for topological Bogoliubov-de Gennes Hamiltonians},
author = {Max Geier and Piet W. Brouwer and Luka Trifunovic},
journal= {arXiv preprint arXiv:1910.11271},
year = {2020}
}
Comments
51 pages (main text: 29 pages, appendices: 16 pages, supplementary material: 6 pages), 22 figures, v2: Extended discussion to literature, minor corrections