Nonlocal conductivity in the vortex-liquid regime

TL;DR

This paper explores the nonlocal conductivity in the vortex-liquid regime of superconductors, revealing that it remains short-ranged in certain directions and long-ranged in others, which impacts the interpretation of experimental results.

Contribution

It provides a detailed analysis of nonlocal conductivity using the time-dependent Ginzburg-Landau equation, highlighting directional differences in length scales.

Findings

Nonlocal resistivity is short-ranged in y and z directions.

Resistivity exhibits long-range behavior in the x direction.

Results challenge hydrodynamic models of multiterminal transport.

Abstract

We investigate the nonlocal conductivity calculated from the time-dependent Ginzburg-Landau equation. When the fluctuations of the vector potential are negligible, the high-temperature (Gaussian) and low-temperature (flux-flow) forms of the uniform conductivity withan an ab plane (sigma_yy) are essentially identical. We find to what extent the nonlocal conductivity shares this feature. The results suggest that for pure samples in theses regimes the length scales of the nonlocal resistivity, rho_yy(y-y',z-z'), remain short-ranged in the y and z directions in contrast to the assumptions made by the hydrodynamic modelling of the multiterminal transport measurements. On the other hand, the resistivity is seen to have a long length scale in the x direction rho_yy(x-x'). The implications for the interpretation of recent experiments are discussed.