Bogoliubov-de Gennes equation on graphs: A model for tree-branched Majorana wire network
M. AkramovNational University of Uzbekistan, 4 University Str., 100174, Tashkent, UzbekistanI. N. AskerzadeDepartment of Computer Engineering, Ankara University, 06100, Ankara, TurkeyM. SalatiDepartment of Computer Engineering, Ankara University, 06100, Ankara, TurkeyO. KarpovaTurin Polytechnic University in Tashkent, 17 Niyazov Str., 100095, Tashkent, Uzbekistan
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Abstract
Abstract We consider Bogoliubov-de Gennes equation on a metric tree graph. Formulation of the problem for arbitrary graph topology is provided. Self-adjoint vertex boundary conditions are derived. Exact solutions of the problem is obtained for quantum tree graph. A quantum graph based model for tree-branched Majorana wire network is proposed.
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