Moving vortices in anisotropic superconductors

TL;DR

This paper analyzes how the magnetic and electric fields of moving vortices in anisotropic superconductors behave, revealing sign changes and power-law decay influenced by vortex motion, anisotropy, and velocity.

Contribution

It introduces a theoretical framework for understanding the magnetic and electric fields of moving vortices in anisotropic superconductors, highlighting non-trivial interactions and decay behaviors.

Findings

Magnetic field may change sign at large distances due to vortex motion.

Motion-related magnetic field decays as 1/r^3, unlike static exponential decay.

Induced electric field decreases as 1/r^2.

Abstract

The magnetic field of moving vortices in anisotropic superconductors is considered in the framework of time-dependent London approach. It is found that at distances large relative to the core size, the field may change sign that alludes to a non-trivial intervortex interaction which depends on the crystal anisotropy and on the speed and direction of motion. These effects are caused to the electric fields and corresponding normal currents which appear due to the moving vortex magnetic structure. We find that the motion related part of the magnetic field attenuates at large distances as $1/r^3$ unlike the exponential decay of the static vortex field. The electric field induced by the vortex motion decreases as $1/r^2$.