Morphological changes of a superconducting phase in a mixed state with a normal current: a multiple scale analysis

TL;DR

This paper analyzes the complex Ginzburg Landau model to understand the morphological changes, phase slips, and localization phenomena in the mixed state of superconducting and normal phases under a normal current, using a multiple scale approach.

Contribution

It introduces a multiple scale analysis method to study phase coexistence, localization, and phase slips in the mixed state of superconductors modeled by CGL equations.

Findings

Captured localization and phase slips in the mixed state.

Provided insights into the morphological changes under normal current.

Enhanced understanding of phase coexistence in superconducting systems.

Abstract

The mixed state of superconducting (SC) and normal (N) phases in one dimensional systems are characterized by several phase slips and localization of the order parameter of the SC phase. The phenomenon is explained on the basis of a complex Ginzburg Landau (CGL) model. We present a simple analysis of the system on multiple scales to capture localization and phase slips when phases coexist.