A Scenario to the Anomalous Hall Effect in the Mixed State of Superconductors

TL;DR

This paper proposes a model where vacancy motion in a pinned vortex lattice explains the anomalous Hall effect in superconductors, providing testable predictions without altering fundamental vortex dynamics.

Contribution

It introduces a novel explanation for the anomalous Hall effect based on vacancy motion, avoiding modifications to existing vortex dynamic equations.

Findings

Quantitative predictions of vacancy-driven Hall effect

Model aligns with observed anomalous Hall behavior

Testable via observation of vacancy motion

Abstract

We argue that the motion of vacancies in a pinned vortex lattice may dominate the contribution to the Hall effect in an appropriate parameter regime for a superconductor. Based on this consideration a model is constructed to explain the anomalous Hall effect without any modification of the basic vortex dynamic equation. Quantitative predictions are obtained. Present model can be directly tested by an observation of the vacancy motion.