The non-commutative topology of two-dimensional dirty superconductors

Beitrag in einer Fachzeitschrift


Details zur Publikation

Autorinnen und Autoren: de Nittis G, Schulz-Baldes H
Zeitschrift: Journal of Geometry and Physics
Verlag: ELSEVIER SCIENCE BV
Jahr der Veröffentlichung: 2018
Band: 124
Seitenbereich: 100-123
ISSN: 0393-0440
Sprache: Englisch


Abstract

Non-commutative analysis tools have successfully been applied to the integer quantum Hall effect, in particular for a proof of the stability of the Hall conductance in an Anderson localization regime and of the bulk-boundary correspondence. In this work, these techniques are implemented to study two-dimensional dirty superconductors described by Bogoliubov-de Gennes Hamiltonians. After a thorough presentation of the basic framework and the topological invariants, Kubo formulas for the thermal, thermoelectric and spin Hall conductance are analyzed together with the corresponding edge currents. (C) 2017 Elsevier B.V. All rights reserved.


FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

de Nittis, Giuseppe Dr.
Department Mathematik
Schulz-Baldes, Hermann Prof. Dr.
Professur für Mathematik (Mathematische Physik)


Zitierweisen

APA:
de Nittis, G., & Schulz-Baldes, H. (2018). The non-commutative topology of two-dimensional dirty superconductors. Journal of Geometry and Physics, 124, 100-123. https://dx.doi.org/10.1016/j.geomphys.2017.10.016

MLA:
de Nittis, Giuseppe, and Hermann Schulz-Baldes. "The non-commutative topology of two-dimensional dirty superconductors." Journal of Geometry and Physics 124 (2018): 100-123.

BibTeX: 

Zuletzt aktualisiert 2019-23-01 um 09:53