Branched Josephson junctions: Current carrying solitons in external magnetic fields
K.K. SabirovTashkent University of Information Technology - Amir Temur Avenue 108 , Tashkent 100200 , UzbekistanD. BabajanovTurin Polytechnic University in Tashkent -17 Niyazov Str. , 100095 , Tashkent , UzbekistanD. U. MatrasulovCenter for Nanotechnology - National University of Uzbekistan , 100174 , Tashkent , UzbekistanH. SusantoDepartment of Mathematical Sciences , University of Essex - Wivenhoe Park , Colchester CO4 3SQ , UK
2019en
ABI
Annotatsiya
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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