Quasiclassical Approach to Transport in the Vortex State and the Hall Effect

TL;DR

This paper develops a quasiclassical transport theory for vortex state superconductors, analyzing the Hall effect and conductivity, and compares theoretical predictions with experimental observations.

Contribution

It introduces generalized quasiclassical transport equations that incorporate Hall effect terms in the vortex state of clean type-II superconductors.

Findings

Transverse conductivity contributions are balanced by order parameter fluctuations.

Hall angle nonlinear behavior is linked to changes in quasiparticle scattering rates.

Theoretical results are discussed in relation to experimental data.

Abstract

We derive generalized quasiclassical transport equations which include the terms responsible for the Hall Effect in the vortex state of a clean type-II superconductor, and calculate the conductivity tensor for an s-wave superconductor in the high-field regime. We find that below the superconducting transition the contribution to the transverse conductivity due to dynamical fluctuations of the order parameter is compensated by the modification of the quasiparticle contribution. In this regime the nonlinear behaviour of the Hall angle is governed by the change in the effective quasiparticle scattering rate due to the reduction in the density of states at the Fermi level. The connection with experimental results is discussed.