Dynamic Phase Transitions in Superconductivity

TL;DR

This paper analyzes dynamic phase transitions in superconductivity using the time-dependent Ginzburg-Landau equations, introducing a new classification scheme and deriving formulas for critical parameters based on a computable nondimensional parameter.

Contribution

It introduces a new dynamic transition theory and classification scheme, identifying two types of transitions and deriving analytical formulas for critical domain size and magnetic fields.

Findings

Two types of dynamic transitions: jump and continuous.

The nondimensional parameter R determines the transition type.

Analytical formulas for critical domain size and magnetic fields.

Abstract

In this Letter, the dynamic phase transitions of the time-dependent Ginzburg-Landau equations are analyzed using a newly developed dynamic transition theory and a new classification scheme of dynamics phase transitions. First, we demonstrate that there are two type of dynamic transitions, jump and continuous, dictated by the sign of a nondimensional parameter R. This parameter is computable, and depends on the material property, the applied field, and the geometry of domain that the sample occupies. Second, using the parameter R, precise analytical formulas for critical domain size, and for critical magnetic fields are derived.