Majorana zero modes and long range edge correlation in interacting Kitaev chains: analytic solutions and density-matrix-renormalization-group study

We study Kitaev model in one-dimension with open boundary condition by using exact analytic methods for non-interacting system at zero chemical potential as well as in the symmetric case of Δ = t, and by using density-matrix-renormalization-group method for interacting system with nearest neighbor r...

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Autores principales: Miao, Jian-Jian, Jin, Hui-Ke, Zhang, Fu-Chun, Zhou, Yi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5765186/
https://www.ncbi.nlm.nih.gov/pubmed/29323128
http://dx.doi.org/10.1038/s41598-017-17699-y
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author Miao, Jian-Jian
Jin, Hui-Ke
Zhang, Fu-Chun
Zhou, Yi
author_facet Miao, Jian-Jian
Jin, Hui-Ke
Zhang, Fu-Chun
Zhou, Yi
author_sort Miao, Jian-Jian
collection PubMed
description We study Kitaev model in one-dimension with open boundary condition by using exact analytic methods for non-interacting system at zero chemical potential as well as in the symmetric case of Δ = t, and by using density-matrix-renormalization-group method for interacting system with nearest neighbor repulsion interaction. We suggest and examine an edge correlation function of Majorana fermions to characterize the long range order in the topological superconducting states and study the phase diagram of the interating Kitaev chain.
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spelling pubmed-57651862018-01-17 Majorana zero modes and long range edge correlation in interacting Kitaev chains: analytic solutions and density-matrix-renormalization-group study Miao, Jian-Jian Jin, Hui-Ke Zhang, Fu-Chun Zhou, Yi Sci Rep Article We study Kitaev model in one-dimension with open boundary condition by using exact analytic methods for non-interacting system at zero chemical potential as well as in the symmetric case of Δ = t, and by using density-matrix-renormalization-group method for interacting system with nearest neighbor repulsion interaction. We suggest and examine an edge correlation function of Majorana fermions to characterize the long range order in the topological superconducting states and study the phase diagram of the interating Kitaev chain. Nature Publishing Group UK 2018-01-11 /pmc/articles/PMC5765186/ /pubmed/29323128 http://dx.doi.org/10.1038/s41598-017-17699-y Text en © The Author(s) 2017 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Miao, Jian-Jian
Jin, Hui-Ke
Zhang, Fu-Chun
Zhou, Yi
Majorana zero modes and long range edge correlation in interacting Kitaev chains: analytic solutions and density-matrix-renormalization-group study
title Majorana zero modes and long range edge correlation in interacting Kitaev chains: analytic solutions and density-matrix-renormalization-group study
title_full Majorana zero modes and long range edge correlation in interacting Kitaev chains: analytic solutions and density-matrix-renormalization-group study
title_fullStr Majorana zero modes and long range edge correlation in interacting Kitaev chains: analytic solutions and density-matrix-renormalization-group study
title_full_unstemmed Majorana zero modes and long range edge correlation in interacting Kitaev chains: analytic solutions and density-matrix-renormalization-group study
title_short Majorana zero modes and long range edge correlation in interacting Kitaev chains: analytic solutions and density-matrix-renormalization-group study
title_sort majorana zero modes and long range edge correlation in interacting kitaev chains: analytic solutions and density-matrix-renormalization-group study
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5765186/
https://www.ncbi.nlm.nih.gov/pubmed/29323128
http://dx.doi.org/10.1038/s41598-017-17699-y
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