Notes on the Kitaev \leftrightarrow Tight-binding correspondence
Strongly Correlated Electrons
2017-07-28 v1
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.
Cite
@article{arxiv.1707.08930,
title = {Notes on the Kitaev \leftrightarrow Tight-binding correspondence},
author = {Rui Carlos Andrade Martins and Anselmo Miguel Magalhães Marques and Ricardo Assis Guimarães Dias},
journal= {arXiv preprint arXiv:1707.08930},
year = {2017}
}
Comments
34 pages, 31 figures