Resistance scaling at the Kosterlitz-Thouless transition

TL;DR

This paper investigates the linear resistance at the Kosterlitz-Thouless transition through Monte Carlo simulations, finite size scaling, and comparison with experimental data, providing insights into vortex dynamics and transition properties.

Contribution

It offers a detailed simulation study of vortex dynamics at the transition and aligns theoretical results with experimental observations by optimizing vortex chemical potential.

Findings

Excellent agreement with Kosterlitz-Thouless scaling properties

Resistance matches experimental data over many decades

Optimal vortex chemical potential improves model accuracy

Abstract

We study the linear resistance at the Kosterlitz-Thouless transition by Monte Carlo simulation of vortex dynamics. Finite size scaling analysis of our data show excellent agreement with scaling properties of the Kosterlitz-Thouless transition. We also compare our results for the linear resistance with experiments. By adjusting the vortex chemical potential to an optimum value, the resistance at temperatures above the transition temperature agrees well with experiments over many decades.