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@article{faucris.223994280,
abstract = {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.},
author = {Lozano Viesca, Edgar and Schober, Jonas and Schulz-Baldes, Hermann},
doi = {10.1063/1.5094300},
faupublication = {yes},
journal = {Journal of Mathematical Physics},
note = {CRIS-Team Scopus Importer:2019-08-06},
peerreviewed = {Yes},
title = {{Chern} numbers as half-signature of the spectral localizer},
volume = {60},
year = {2019}
}