Branched Josephson junctions: Current carrying solitons in external magnetic fields
D. U. MatrasulovCenter for Nanotechnology, National University of Uzbekistan - 100174, Tashkent, UzbekistanK.K. SabirovTashkent University of Information Technology - Amir Temur Avenue 108, Tashkent 100200, UzbekistanD. BabajanovTurin Polytechnic University in Tashkent - 17 Niyazov Str., 100095, Tashkent, UzbekistanH. SusantoDepartment of Mathematical Sciences, University of Essex - Wivenhoe Park, Colchester CO4 3SQ, UK
ABI
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.
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