Chern numbers as half-signature of the spectral localizer

Beitrag in einer Fachzeitschrift

Details zur Publikation

Autorinnen und Autoren: Lozano Viesca E, Schober J, Schulz-Baldes H
Zeitschrift: Journal of Mathematical Physics
Jahr der Veröffentlichung: 2019
Band: 60
Heftnummer: 7
ISSN: 0022-2488


Two recent papers proved that complex index pairings can be calculated as the half-signature of a finite dimensional matrix, called the spectral localizer. This paper contains a new proof of this connection for even index pairings based on a spectral flow argument. It also provides a numerical study of the spectral gap and the half-signature of the spectral localizer for a typical two-dimensional disordered topological insulator in the regime of a mobility gap at the Fermi energy. This regime is not covered by the above mathematical results (which suppose a bulk gap), but, nevertheless, the half-signature of the spectral localizer is a clear indicator of a topological phase.

FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Schober, Jonas
Schulz-Baldes, Hermann Prof. Dr.
Professur für Mathematik (Mathematische Physik)

Einrichtungen weiterer Autorinnen und Autoren

National Autonomous University of Mexico / Universidad Nacional Autónoma de México (UNAM)


Lozano Viesca, E., Schober, J., & Schulz-Baldes, H. (2019). Chern numbers as half-signature of the spectral localizer. Journal of Mathematical Physics, 60(7).

Lozano Viesca, Edgar, Jonas Schober, and Hermann Schulz-Baldes. "Chern numbers as half-signature of the spectral localizer." Journal of Mathematical Physics 60.7 (2019).


Zuletzt aktualisiert 2019-06-08 um 17:08