The thermally activated motion of vortex bundles and the anomalous Hall effect in type-II conventional and high-Tc superconductors

TL;DR

This paper presents a new theoretical model explaining the anomalous Hall effect in type-II superconductors through thermally activated vortex bundle motion, aligning well with experimental data.

Contribution

It introduces a novel theory linking vortex bundle motion to the anomalous Hall effect, considering the competition between Magnus and pinning forces.

Findings

Demonstrates the role of vortex dynamics in the anomalous Hall effect.

Calculates resistivities consistent with experimental observations.

Explores the reentry phenomenon in superconductors.

Abstract

The anomalous Hall effect in type-II conventional and high-Tc superconductors is investigated based on the proposed novel theory of the thermally activated motion of vortex bundles over a directional-dependent energy barrier. Our calculations demonstrate clearly that anomalous Hall effect is induced by the competition between the Magnus force and the random collective pinning force of the vortex bundle. The Hall as well as the longitudinal resistivity for constant temperature and constant applied magnetic field of type-II superconducting films and bulk materials are calculated. The reentry phenomenon is also investigated. All the results are in good agreement with the experiments.