Vortex dynamics in dilute two-dimensional Josephson junction arrays

TL;DR

This paper investigates the thermally excited vortex dynamics in dilute 2D Josephson junction arrays with missing islands, deriving a frequency-dependent vortex mobility to understand their electrodynamic response.

Contribution

It introduces a multiple trapping model to analyze vortex mobility and electrodynamic response in dilute Josephson junction arrays with missing islands.

Findings

Derived an expression for frequency-dependent vortex mobility.

Calculated the complex electrodynamic response for different dilution levels.

Provided insights into vortex behavior in disordered superconducting arrays.

Abstract

The dynamics of thermally excited vortices in a dilute two-dimensional Josephson junction array where a fraction of the superconducting islands is missing has been investigated using a multiple trapping model. An expression for the frequency dependent mobility of vortices has been calculated which allows to obtain the frequency dependent complex electrodynamic response of the array for different fractions of missing islands.