Moving Pearl vortices in thin-film superconductors

TL;DR

This paper investigates how the magnetic field distribution of a moving Pearl vortex in thin-film superconductors is affected by its velocity and quasiparticle conductivity, revealing asymmetries and interactions.

Contribution

It introduces a detailed analysis of the magnetic field asymmetry and vortex interactions in thin-film superconductors using the time-dependent London equation.

Findings

Magnetic field $h_z$ is suppressed in front and enhanced behind the moving vortex.

Asymmetry in $h_z$ distribution is proportional to vortex velocity and quasiparticle conductivity.

Vortex self-energy and interactions are quantitatively evaluated.

Abstract

The magnetic field $h_z$ of a moving Pearl vortex in a superconducting thin-film in $(x,y)$ plane is studied with the help of time-dependent London equation. It is found that for a vortex at the origin moving in $+x$ direction, $h_z(x,y)$ is suppressed in front of the vortex, $x>0$, and enhanced behind ($x<0$). The distribution asymmetry is proportional to the velocity and to the conductivity of normal quasiparticles. The vortex self-energy and the interaction of two moving vortices are evaluated.