Invariants of disordered semimetals via the spectral localizer

Schulz-Baldes H, Stoiber T (2022)

Publication Language: English

Publication Type: Journal article

Publication year: 2022

Journal

EPL - Europhysics Letters Institute of Physics: EPL

Book Volume: 136

Journal Issue: 2

URI: https://iopscience.iop.org/article/10.1209/0295-5075/ac1b65/pdf

DOI: 10.1209/0295-5075/ac1b65

Abstract

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.

Authors with CRIS profile

Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik) Tom Stoiber Professur für Mathematik (Mathematische Physik)

How to cite

APA:

Schulz-Baldes, H., & Stoiber, T. (2022). Invariants of disordered semimetals via the spectral localizer. EPL - Europhysics Letters, 136(2). https://dx.doi.org/10.1209/0295-5075/ac1b65

MLA:

Schulz-Baldes, Hermann, and Tom Stoiber. "Invariants of disordered semimetals via the spectral localizer." EPL - Europhysics Letters 136.2 (2022).

BibTeX: Download