Article | Published 2020

Branched Josephson junctions: Current carrying solitons in external magnetic fields

Authors:

Davron Matrasulov

Doniyor Babajanov

Hadi Susanto

Keywords: Branched Josephson junction, sine-Gordon equation, stability

Abstract

We consider the 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.

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