Bogoliubov de Gennes equation on metric graphs

K. K. Sabirov; D. Jumanazarov; J. Yusupov; D. U. Matrasulov

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arXiv · 1801.09226

Bogoliubov de Gennes equation on metric graphs

K. K. Sabirov·D. Jumanazarov·J. Yusupov·D. U. Matrasulov

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Abstract

We consider Bogoliubov de Gennes equation on metric graphs. The vertex boundary conditions providing self-adjoint realization of the Bogoliubov de Gennes operator on a metric star graph are derived. Secular equation providing quantization of the energy and the vertex transmission matrix are also obtained. Application of the model for Majorana wire networks is discussed.

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BibTeX RIS

K. K. Sabirov, D. Jumanazarov, J. Yusupov, D. U. Matrasulov. 2018-01-28. Bogoliubov de Gennes equation on metric graphs. https://arxiv.org/abs/1801.09226

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