The Hall Effect in Superconducting Films

TL;DR

This paper investigates fluctuation effects on the Hall conductivity in disordered superconducting films near the transition, introducing a new contribution and extending the theoretical framework to broader conditions.

Contribution

It presents a novel theoretical extension for fluctuation corrections to Hall conductivity, including a previously unconsidered contribution, applicable near quantum critical points.

Findings

Identified a new contribution to Hall conductivity from fluctuations.

Extended theoretical models to wider temperature and magnetic field ranges.

Theory successfully fitted experimental data in amorphous TaN films.

Abstract

Near the superconducting phase transition, fluctuations significantly modify the electronic transport properties. Here we study the fluctuation corrections to the Hall conductivity in disordered films, extending previous derivations to a broader range of temperatures and magnetic fields, including the vicinity of the magnetic field induced quantum critical point. In the process, we found a new contribution to the Hall conductivity that was not considered before. Recently, our theory has been used to fit measurements of the Hall resistance in amorphous TaN films.