Branched Josephson junctions: Current carrying solitons in external magnetic fields

TL;DR

This paper models and analyzes static sine-Gordon solitons in branched Josephson junctions under external magnetic fields, providing exact solutions and stability analysis for these current-carrying solitons.

Contribution

It introduces a novel analytical approach to solve and analyze sine-Gordon solitons in Y-junction Josephson structures using metric graph modeling.

Findings

Exact analytical solutions for sine-Gordon solitons in branched junctions.

Stability conditions for the solitons are derived.

Insights into current-carrying states in complex Josephson structures.

Abstract

We consider branched Josephson junction created by planar superconductors connected to each other through the Y-junction insulator. Assuming that the structure interacts with the external constant magnetic field, we study static sine-Gordon solitons in such system by modeling them in terms of the stationary sine-Gordon equation on metric graph. Exact analytical solutions of the problem are obtained and their stability is analyzed.