Non linear dynamics of vortices in superconductors with short coherence length

TL;DR

This paper investigates the complex, velocity-dependent vortex dynamics in superconductors with short coherence lengths, revealing nonlinear behaviors and transient effects influenced by frequency, with implications for high-temperature superconductor experiments.

Contribution

It introduces a model for vortex motion considering velocity-dependent viscosity in superconductors with short coherence lengths, highlighting nonlinear dynamics and transient phenomena.

Findings

Vortex trajectories depend nonlinearly on driving frequency.

Finite perturbations cause long-lived transient states.

Results are relevant for understanding high-Tc superconductor behavior.

Abstract

In superconductors where the coherence length is comparable to the Fermi wavelength, the vortex viscosity depends on the velocity of the vortex, leading to non linear equations of motion. The trajectories of vortices driven by a. c. fields show a variety of behaviors as function of frequency. Finite pertubations give rise to very long lived transients. The relevance of these results to experiments in high-T$_{\rm c}$ superconductors is discussed.