Volume 130, Number 6, June 2020
|Number of page(s)||7|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||06 July 2020|
Branched Josephson junctions: Current carrying solitons in external magnetic fields
1 Turin Polytechnic University in Tashkent - 17 Niyazov Str., 100095, Tashkent, Uzbekistan
2 Center for Nanotechnology, National University of Uzbekistan - 100174, Tashkent, Uzbekistan
3 Tashkent University of Information Technology - Amir Temur Avenue 108, Tashkent 100200, Uzbekistan
4 Department of Mathematical Sciences, University of Essex - Wivenhoe Park, Colchester CO4 3SQ, UK
5 Department of Mathematics, Khalifa University, Abu Dhabi Campus - PO Box 127788, Abu Dhabi, United Arab Emirates
Received: 18 October 2019
Accepted: 17 June 2020
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.
PACS: 74.50.+r – Tunneling phenomena; Josephson effects / 05.45.Yv – Solitons
© EPLA, 2020
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