Josephson junction of non-Abelian superconductors and non-Abelian Josephson vortices

TL;DR

This paper introduces a novel Josephson junction model based on non-Abelian color superconductors, where non-Abelian vortices are described as non-Abelian sine-Gordon solitons within a domain wall effective theory, expanding the understanding of topological solitons.

Contribution

It proposes a new non-Abelian Josephson junction framework using non-Abelian domain walls and describes non-Abelian vortices as sine-Gordon solitons in this setting.

Findings

Non-Abelian Josephson vortices are modeled as non-Abelian sine-Gordon solitons.

The effective theory is described by the $U(N)$ principal chiral model.

The framework extends the understanding of topological solitons in non-Abelian superconductors.

Abstract

A Josephson junction is made of two superconductors sandwiching an insulator, and a Josephson vortex is a magnetic vortex (flux tube) absorbed into the Josephson junction, whose dynamics can be described by the sine-Gordon equation. In a field theory framework, a flexible Josephson junction was proposed, in which the Josephson junction is represented by a domain wall separating two condensations and a Josephson vortex is a sine-Gordon soliton in the domain wall effective theory. In this paper, we propose a Josephson junction of non-Abelian color superconductors, that is described by a non-Abelian domain wall, and show that a non-Abelian vortex (color magnetic flux tube) absorbed into it is a non-Abelian Josephson vortex represented as a non-Abelian sine-Gordon soliton in the domain wall effective theory, that is the $U(N)$ principal chiral model.