Dynamic scaling for 2D superconductors, Josephson junction arrays and superfluids

TL;DR

This study measures the dynamic critical exponent in 2D superconductors, superfluids, and Josephson junction arrays, revealing non-diffusive dynamics with a large exponent, and confirms the universality of the scaling function.

Contribution

It provides the first detailed measurement of the dynamic critical exponent in these 2D systems using Fisher-Fisher-Huse scaling, highlighting non-diffusive behavior.

Findings

Dynamic exponent z ≈ 5.6 ± 0.3 indicating non-diffusive dynamics

Universality of the scaling function confirmed for thin samples

Results suggest previous diffusion-based models may be insufficient

Abstract

The value of the dynamic critical exponent $z$ is studied for two-dimensional superconducting, superfluid, and Josephson Junction array systems in zero magnetic field via the Fisher-Fisher-Huse dynamic scaling. We find $z\simeq5.6\pm0.3$, a relatively large value indicative of non-diffusive dynamics. Universality of the scaling function is tested and confirmed for the thinnest samples. We discuss the validity of the dynamic scaling analysis as well as the previous studies of the Kosterlitz-Thouless-Berezinskii transition in these systems, the results of which seem to be consistent with simple diffusion ($z=2$). Further studies are discussed and encouraged.