Vortex Pull by an External Current

TL;DR

This paper demonstrates through numerical and analytical methods that vortices in a Ginzburg-Landau model drift against an external current with a predictable velocity and angle, revealing their behavior under external influences.

Contribution

It provides a combined numerical and analytical study of vortex dynamics under external currents, confirming and extending previous predictions about vortex drift and deflection angles.

Findings

Vortex drifts against external current with velocity V= -J

Vortex undergoes skew deflection at angles between 90° and 180°

Relation between vortex speed and deflection angle is established

Abstract

In the context of a dynamical Ginzburg-Landau model it is shown numerically that under the influence of a homogeneous external current J the vortex drifts against the current with velocity $V= -J$ in agreement to earlier analytical predictions. In the presence of dissipation the vortex undergoes skew deflection at an angle $90^{\circ} < \delta < 180^{\circ}$ with respect to the external current. It is shown analytically and verified numerically that the angle $\delta$ and the speed of the vortex are linked through a simple mathematical relation.