Critical Scaling of Extended Power Law I-V Isotherms near Vortex Glass Transition

TL;DR

This paper investigates the critical scaling behavior of I-V isotherms near the vortex glass transition in high-temperature superconductors, proposing an extended power law model consistent with experimental data and discussing critical exponent controversies.

Contribution

It introduces an extended power law form based on Ginzburg-Landau theory to describe I-V characteristics, aligning with experimental observations and addressing critical exponent debates.

Findings

Simulated I-V isotherms fit experimental data well.

Extended power law model explains derivative plot puzzles.

Discussion clarifies critical exponent controversies.

Abstract

In view of the question about the vortex glass theory of the freezing of disordered vortex matter raised by recent experimental observations we reinvestigate the critical scaling of high $T_c$ superconductors. We find that dc current-voltage characteristic of mixed state superconductors has the general form of extended power law which is based on the Ginzburg-Landau (GL) functional in the similar way as the vortex glass theory. Isotherms simulated from this nonlinear equation fit the experimental I-V data of Strachan et al.[Phys.Rev.Lett. 87, 067007 (2001)]. The puzzling question of the derivative plot for the I-V curves and the controversy surrounding the values of critical exponents are also discussed.