Invariants of disordered semimetals via the spectral localizer
Mesoscale and Nanoscale Physics
2022-01-26 v1 Mathematical Physics
math.MP
Abstract
The spectral localizer consists of placing the Hamiltonian in a Dirac trap. For topological insulators its spectral asymmetry is equal to the topological invariants, providing a highly efficient tool for numerical computation. Here this technique is extended to disordered semimetals and allows to access the number of Dirac or Weyl points as well as weak invariants. These latter invariants imply the existence of surface states.
Keywords
Cite
@article{arxiv.2108.06366,
title = {Invariants of disordered semimetals via the spectral localizer},
author = {Hermann Schulz-Baldes and Tom Stoiber},
journal= {arXiv preprint arXiv:2108.06366},
year = {2022}
}
Comments
to appear in Europhys. Lett