Scaling of Nonlinear Longitudinal and Hall Resistivities near the Vortex Glass Transition

TL;DR

This paper presents a unified power-law model for the nonlinear current-voltage behavior of superconductors near the vortex glass transition, fitting experimental data and analyzing scaling laws of resistivities.

Contribution

It introduces a general extended power-law form for I-V characteristics and explores scaling behaviors of resistivities in the vortex glass phase.

Findings

Simulated I-V curves fit experimental data well.

Determined average pinning forces in different regimes.

Analyzed scaling laws of Hall and longitudinal resistivities.

Abstract

We show that the longitudinal current-voltage characteristics of superconductors in mixed state have the general form of extended power law. Isotherms simulated from this nonlinear equation fit the experimental I-V data of Strachan et al. [ Phys. Rev. Lett. {\bf 87}, 067007 (2001)]. We determine the average pinning force in the flux creep and strong pinning regime and discuss both the puzzling scaling behavior $\rho_{xy}\propto\rho_{xx}^\beta$ and a recently found new scaling relationship of nonlinear Hall resistivity $\rho_{xy}(T)$.