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Bogoliubov-de Gennes Method and Its Applications pp 37–65Cite as

BdG Equations in Tight-Binding Model

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Part of the book series: Lecture Notes in Physics ((LNP,volume 924))

Abstract

In this chapter, I give an alternative derivation of the Bogoliubov-de Gennes equations for superconductors. It is based on a tight-binding model. A general symmetry of the equations is discussed. A few physically measurable quantities are derived in terms of the BdG eigenfunctions. The solutions to the BdG equations in the uniform case are provided. Finally, I also make its connection to the lattice Abrikosov-Gorkov equations.

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Authors and Affiliations

  1. Theoretical Division, MS B262, Los Alamos National Laboratory, Los Alamos, New Mexico, USA

    Jian-Xin Zhu

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  1. Jian-Xin Zhu
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Zhu, JX. (2016). BdG Equations in Tight-Binding Model. In: Bogoliubov-de Gennes Method and Its Applications. Lecture Notes in Physics, vol 924. Springer, Cham. https://doi.org/10.1007/978-3-319-31314-6_2

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