Institut für Theorie der Kondensierten Materie (TKM)
Symmetry-based indicators for topological Bogoliubov-de Gennes Hamiltonians

TKM Institutsseminar

Vortragender:

Max Geier

Datum:

07.05.2020 12:30

Ort:

This talk will take place as an online event.

Zugehörigkeit:

FU Berlin

Gastgeber:

Prof. Dr. Schmalian

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, Nature Comm. 8, 50 (2017)] to Hamiltonians of Bogoliubov-de Gennes type.