Bogoliubov de Gennes equation on metric graphs
classification
🪐 quant-ph
cond-mat.mes-hallcond-mat.supr-con
keywords
bogoliubovequationgennesmetricgraphsprovidingvertexapplication
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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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