Volume 136, Number 2, October 2021
|Number of page(s)||6|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||12 January 2022|
Invariants of disordered semimetals via the spectral localizer
Department Mathematik, FAU Erlangen-Nürnberg - Cauerstr. 11, D-91058 Erlangen, Germany
Received: 30 April 2021
Accepted: 6 August 2021
The spectral localizer consists in 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.
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