Driven Diffusion in the Two-Dimensional Lattice Coulomb Gas; A Model for Flux Flow in Superconducting Networks

TL;DR

This paper uses driven diffusion Monte Carlo simulations to study vortex motion in a 2D lattice Coulomb gas model, revealing non-linear response behavior at the transition temperature relevant for superconducting networks.

Contribution

It introduces a finite-size dynamic scaling approach to analyze vortex dynamics in a 2D Coulomb gas model under applied electric fields.

Findings

Determines the dynamic critical exponent z for the system.

Analyzes non-linear response at the transition temperature.

Compares cases with no magnetic field and half flux quantum per unit cell.

Abstract

We carry out driven diffusion Monte Carlo simulations of the two dimensional classical lattice Coulomb gas in an applied uniform electric field, as a model for vortex motion due to an applied d.c. current, in a periodic superconducting network. A finite-size version of dynamic scaling is used to extract the dynamic critical exponent z, and infer the non-linear response at the transition temperature. We consider the f=0 and f=1/2 cases, corresponding to no applied magnetic field, and to one half flux quantum per unit cell of the network respectively.