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Nonlocal Conductivity in the Vortex-Liquid Regime of a Two-Dimensional Superconductor

Rachel Wortis·David A. Huse
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Abstract

We have simulated the time-dependent Ginzburg-Landau equation with thermal fluctuations, to study the nonlocal dc conductivity of a superconducting film. Having examined points in the phase diagram at a wide range of temperatures and fields below the mean-field upper critical field, we find a portion of the vortex-liquid regime in which the nonlocal ohmic conductivity in real space is negative over a distance several times the spacing between vortices. The effect is suppressed when driven beyond linear response. Earlier work had predicted the existence of such a regime, due to the high viscosity of a strongly-correlated vortex liquid. This behavior is clearly distinguishable from the monotonic spatial fall-off of the conductivity in the higher temperature or field regimes approaching the normal state. The possibilities for experimental study of the nonlocal transport properties are discussed.

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Rachel Wortis, David A. Huse. 1996-04-30. Nonlocal Conductivity in the Vortex-Liquid Regime of a Two-Dimensional Superconductor. https://doi.org/10.1103/physrevb.54.12413

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