The non-commutative topology of two-dimensional dirty superconductors

de Nittis G, Schulz-Baldes H (2018)


Publication Language: English

Publication Status: Published

Publication Type: Journal article

Publication year: 2018

Journal

Publisher: ELSEVIER SCIENCE BV

Book Volume: 124

Pages Range: 100-123

DOI: 10.1016/j.geomphys.2017.10.016

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.

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How to cite

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://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.

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