Dynamical Hall responses of disordered superconductors

TL;DR

This paper extends the Mattis-Bardeen theory to include Hall responses in disordered superconductors, enabling analysis of dynamical experiments involving ordinary and spin Hall effects in thin films.

Contribution

It introduces a modified Usadel equation to incorporate Hall effects into the dynamical response of disordered superconductors, providing a new theoretical framework.

Findings

Extended Mattis-Bardeen theory with Hall responses

Modified Usadel equation for Hall effects

Applicable to thin-film superconductor experiments

Abstract

We extend the Mattis-Bardeen theory for the dynamical response of superconductors to include different types of Hall responses. This is possible thanks to a recent modification of the quasiclassical Usadel equation, which allows for analyzing Hall effects in disordered superconductors and including the precise frequency dependence of such effects. Our results form a basis for analyzing dynamical experiments especially on novel thin-film superconductors, where ordinary Hall and spin Hall effects can both show up.