Microlocal Analysis of the Bulk-Edge Correspondence

The bulk-edge correspondence predicts that interfaces between topological insulators support robust currents. We prove this principle for PDEs that are periodic away from an interface. Our approach relies on semiclassical methods. It suggests novel perspectives for the analysis of topologically prot...

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Veröffentlicht in:	Communications in mathematical physics 2021-05, Vol.383 (3), p.2069-2112
1. Verfasser:	Drouot, Alexis
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Sprache:	eng
Schlagworte:	Classical and Quantum Gravitation Complex Systems Mathematical and Computational Physics Mathematical Physics Physics Physics and Astronomy Quantum Physics Relativity Theory Theoretical Topological insulators
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description	The bulk-edge correspondence predicts that interfaces between topological insulators support robust currents. We prove this principle for PDEs that are periodic away from an interface. Our approach relies on semiclassical methods. It suggests novel perspectives for the analysis of topologically protected transport.
doi_str_mv	10.1007/s00220-020-03864-4
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subjects	Classical and Quantum Gravitation Complex Systems Mathematical and Computational Physics Mathematical Physics Physics Physics and Astronomy Quantum Physics Relativity Theory Theoretical Topological insulators
title	Microlocal Analysis of the Bulk-Edge Correspondence
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