Max Geier

Postdoc, QDev, Niels Bohr Institute

Symmetry-based indicators for topological Bogoliubov-de Gennes Hamiltonians

Symmetry-based indicators are topological invariants for topological crystalline phases that can be computed from the knowledge of the band structure or Bogoliubov-de Gennes Hamiltonian at a few high symmetry momenta only. I will present a systematic approach for constructing a complete set of symmetry-based indicators of a topological classification for superconducting systems [1]. After excluding topological invariants corresponding to the phases without anomalous boundary states, 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.

[1] Max Geier, Piet W. Brouwer, and Luka Trifunovic, Symmetry-based indicators for topological Bogoliubov–de Gennes Hamiltonians, Phys. Rev. B 101, 245128 (2020)

Zoom link: https://ucph-ku.zoom.us/j/66020280873