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Majorana flat band edge modes of topological gapless phase in 2D Kitaev square lattice
We study a Kitaev model on a square lattice, which describes topologically trivial superconductor when gap opens, while supports topological gapless phase when gap closes. The degeneracy points are characterized by two vortices in momentum space, with opposite winding numbers. We show rigorously tha...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6428827/ https://www.ncbi.nlm.nih.gov/pubmed/30899042 http://dx.doi.org/10.1038/s41598-019-41529-y |
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author | Zhang, K. L. Wang, P. Song, Z. |
author_facet | Zhang, K. L. Wang, P. Song, Z. |
author_sort | Zhang, K. L. |
collection | PubMed |
description | We study a Kitaev model on a square lattice, which describes topologically trivial superconductor when gap opens, while supports topological gapless phase when gap closes. The degeneracy points are characterized by two vortices in momentum space, with opposite winding numbers. We show rigorously that the topological gapless phase always hosts a partial Majorana flat band edge modes in a ribbon geometry, although such a single band model has zero Chern number as a topologically trivial superconductor. The flat band disappears when the gapless phase becomes topologically trivial, associating with the mergence of two vortices. Numerical simulation indicates that the flat band is robust against the disorder. |
format | Online Article Text |
id | pubmed-6428827 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-64288272019-03-28 Majorana flat band edge modes of topological gapless phase in 2D Kitaev square lattice Zhang, K. L. Wang, P. Song, Z. Sci Rep Article We study a Kitaev model on a square lattice, which describes topologically trivial superconductor when gap opens, while supports topological gapless phase when gap closes. The degeneracy points are characterized by two vortices in momentum space, with opposite winding numbers. We show rigorously that the topological gapless phase always hosts a partial Majorana flat band edge modes in a ribbon geometry, although such a single band model has zero Chern number as a topologically trivial superconductor. The flat band disappears when the gapless phase becomes topologically trivial, associating with the mergence of two vortices. Numerical simulation indicates that the flat band is robust against the disorder. Nature Publishing Group UK 2019-03-21 /pmc/articles/PMC6428827/ /pubmed/30899042 http://dx.doi.org/10.1038/s41598-019-41529-y Text en © The Author(s) 2019 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 Zhang, K. L. Wang, P. Song, Z. Majorana flat band edge modes of topological gapless phase in 2D Kitaev square lattice |
title | Majorana flat band edge modes of topological gapless phase in 2D Kitaev square lattice |
title_full | Majorana flat band edge modes of topological gapless phase in 2D Kitaev square lattice |
title_fullStr | Majorana flat band edge modes of topological gapless phase in 2D Kitaev square lattice |
title_full_unstemmed | Majorana flat band edge modes of topological gapless phase in 2D Kitaev square lattice |
title_short | Majorana flat band edge modes of topological gapless phase in 2D Kitaev square lattice |
title_sort | majorana flat band edge modes of topological gapless phase in 2d kitaev square lattice |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6428827/ https://www.ncbi.nlm.nih.gov/pubmed/30899042 http://dx.doi.org/10.1038/s41598-019-41529-y |
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