The non-commutative topology of two-dimensional dirty superconductors
Mathematical Physics
2018-05-29 v2 math.MP
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.
Keywords
Cite
@article{arxiv.1705.04158,
title = {The non-commutative topology of two-dimensional dirty superconductors},
author = {Giuseppe De Nittis and Hermann Schulz-Baldes},
journal= {arXiv preprint arXiv:1705.04158},
year = {2018}
}
Comments
published version in J Geo Phys