The influence of the Hall force on the vortex dynamics in type II superconductors

TL;DR

This paper develops a field theoretic model to analyze how the Hall force affects vortex pinning in type II superconductors, revealing temperature-dependent suppression or enhancement of pinning.

Contribution

It introduces a non-perturbative, self-consistent theoretical framework to study the Hall force's impact on vortex pinning, validated by numerical simulations.

Findings

Hall force suppresses vortex pinning at low temperatures

Hall force enhances vortex pinning at high temperatures

Single vortices are more affected by the Hall force than vortex lattices

Abstract

The effect of the Hall force on the pinning of vortices in type II superconductors is considered. A field theoretic formulation of the pinning problem allows a non-perturbative treatment of the influence of quenched disorder. A self-consistent theory is constructed using the diagrammatic functional method for the effective action, and an expression for the pinning force for independent vortices as well as vortex lattices is obtained. We find that the pinning force for a single vortex is suppressed by the Hall force at low temperatures while it is increased at high temperatures. The effect of the Hall force is more pronounced on a single vortex than on a vortex lattice. The results of the self-consistent theory are shown to be in good agreement with numerical simulations.