# Instabilities of the normal state in current-biased narrow superconducting strips

## TL;DR

This paper investigates the instabilities in the normal state of narrow superconducting strips near the critical temperature, focusing on high current biases and the resulting dynamical phase-slip states using the Ginzburg-Landau model.

## Contribution

It provides a detailed analysis of the instability mechanisms and derives the reentrance current at the normal state transition in superconducting strips.

## Key findings

- Identification of dynamical phase-slip states at high currents
- Derivation of the reentrance current value at instability onset
- Numerical calculation of the reentrance current based on the Ginzburg-Landau model

## Abstract

We study the current-voltage characteristic of narrow superconducting strips in the gapless regime near the critical temperature in the framework of the Ginzburg-Landau model. Our focus is on its instabilities occurring at high current biases. The latter are consequences of dynamical states with periodic phase-slip events in space and time. We analyze their structure and derive the value of the reentrance current at the onset of the instability of the normal state. It is expressed in terms of the kinetic coefficient of the time-dependent Ginzburg-Landau equation and calculated numerically.