Local structures in the resistive state of a one dimensional superconductor

TL;DR

This paper investigates the coexistence and localized structures of superconducting and normal phases in a one-dimensional superconductor during resistive state transitions, highlighting the dominance of quadratic terms in the free energy surface.

Contribution

It introduces a relation for selecting the conjugate order parameter and emphasizes the role of quadratic terms in the Ginzburg-Landau potential during resistive regimes.

Findings

Identification of localized phase structures in resistive regime

Dominance of quadratic Ginzburg-Landau term in free energy surface

Relation for conjugate order parameter selection

Abstract

In a one dimensional superconductor where current driven phase transitions occur between superconducting and normal phases, both the phases coexist in a metastable regime over a wide range of current near the critical current $j_c$. A lot of spatio-temporal localized forms of the the competing phases have been identified in this so called resistive regime. In this paper we present the relation that selects the closed conjugate form for the other order parameter when that of the one of two competing states is known. Our main observation is that, the free energy surface the system remains predominantly bound to in the resistive regime is dominated by the quadratic term of the phenomenological Ginzburg-Landau potential.