Hall anomaly in mixed state of superconductors and vortex dynamics

TL;DR

This paper argues that vortex many-body effects dominate Hall and longitudinal resistivities in the mixed state of superconductors, challenging the need for ad hoc vortex dynamics theories, and influencing ongoing research debates.

Contribution

It presents a long-standing argument that vortex many-body effects explain resistivities without additional theories, influencing the understanding of vortex dynamics in superconductors.

Findings

Vortex many-body effects dominate resistivities in the mixed state.

No need for ad hoc vortex dynamics theories.

The viewpoint is gaining acceptance among researchers.

Abstract

The present author has long argued, with concrete predictions, that both longitudinal and transverse (Hall) resistivities in the mixed state of superconductors are dominated by vortex many-body effect. Hence there is no need to introduce various ad hoc vortex dynamics theories. It is interesting to note this point of view is now slowly creeping into the work of his most fierce opponents.