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arXiv · 1707.08930

Notes on the Kitaev \leftrightarrow Tight-binding correspondence

Rui Carlos Andrade Martins·Anselmo Miguel Magalhães Marques·Ricardo Assis Guimarães Dias
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Abstract

In this project, we study the properties of a non-trivial topological system which exhibits localized edge states. In our study, we adress the Kitaev chain, a one-dimensional chain of atoms deposited on top of a p-wave superconductor that induces superconductivity in the chain by proximity effect. We establish a correspondence between the Kitaev chain and a tight-binding lattice with a particular geometry for a particular case of the system parameters. This correspondence allows one to find the exact energy levels and eigenstates of the Kitaev chain when t=|\Delta| and \mu=0 for an arbitrary chain size.

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Rui Carlos Andrade Martins, Anselmo Miguel Magalhães Marques, Ricardo Assis Guimarães Dias. 2017-07-27. Notes on the Kitaev \leftrightarrow Tight-binding correspondence. https://arxiv.org/abs/1707.08930

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