Universal Scaling of Pinning Effect on Hall Anomaly near the Vortex Glass Transition and Doping Dependence Problems of Superconductors

TL;DR

This paper uncovers universal scaling laws for the pinning effect on Hall resistivity and Hall angle in superconductors, explaining doping dependence and sign reversal phenomena, challenging existing s-wave based theories.

Contribution

It introduces unified equations for Hall resistivity applicable to various superconductors, incorporating extended power law and microscopic analysis, and compares experimental data with theoretical models.

Findings

Universal scaling relations for $ ho_{xy}$ and $ heta_{H}$

Unified $ ho_{xy}$ equations for different superconductor types

Explanation of doping dependence and sign reversal phenomena

Abstract

We find universal scaling relations of the pinning effect on the Hall resistivity $\rho_{xy}$ and Hall angle $\theta_{H}$. Considering the extended power law form of $\rho_{xx}$ and the microscopic analysis of $\sigma_{xy}$, we obtain unified $\rho_{xy}$ equations for superconductors with and without double sign reversal. These equations reasonably explain the striking universality in doping dependence found by Nagoaka et al., which contradicts the prediction of the time dependent Ginzburg-Landau equation based on s-wave coupling theory [PRL {\bf{80}},3594 (1998)]. A full comparison of experiment with prediction from theoretical models is proposed.