Qualitative modifications and new dynamic phases in the phase diagram of 1D superconducting wires driven with electric currents

TL;DR

This paper explores how varying length and material parameters in 1D superconducting wires under current influences their phase diagram, revealing new phases and scaling laws.

Contribution

It extends previous studies by analyzing arbitrary lengths and realistic parameters, uncovering new qualitative features and phases.

Findings

Identification of new phases including a region with all three regimes

Scaling laws for phase diagram based on wire length

Demonstration of qualitative changes with material parameter variation

Abstract

After an initial transient period, the conduction regime in a 1D superconducting wire that carries a fixed current is either normal or periodic or stationary. The phase diagram for these possibilities was studied in Phys. Rev. Lett. {\bf 99}, 167003 (2007) for particular values of the length and the material parameters. We have extended this study to arbitrary length and to a range of material parameters that includes realistic values. Variation of the length leads to scaling laws for the phase diagram. Variation of the material parameters leads to new qualitative features and new phases, including a parameter region in which all three regimes are possible.