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Creating single Majorana type topological zero mode in superfluids of cold fermionic atoms

We explore the topological phase, which involves Majorana type topological zero mode fermions (MTZFs) at the edge, using d–wave superfluid with Rashba spin-orbit coupling (SOC) interactions. The self-Hermitian of this MTZF([Formula: see text] ) is similar to that of the Majorana fermions (MFs) ([For...

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Autores principales: Ye, Xiao-Shan, Liu, Yong-Jun, Zhang, Xiu Yun, Wu, Guoqing
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5648879/
https://www.ncbi.nlm.nih.gov/pubmed/29051593
http://dx.doi.org/10.1038/s41598-017-13641-4
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author Ye, Xiao-Shan
Liu, Yong-Jun
Zhang, Xiu Yun
Wu, Guoqing
author_facet Ye, Xiao-Shan
Liu, Yong-Jun
Zhang, Xiu Yun
Wu, Guoqing
author_sort Ye, Xiao-Shan
collection PubMed
description We explore the topological phase, which involves Majorana type topological zero mode fermions (MTZFs) at the edge, using d–wave superfluid with Rashba spin-orbit coupling (SOC) interactions. The self-Hermitian of this MTZF([Formula: see text] ) is similar to that of the Majorana fermions (MFs) ([Formula: see text] ). We show that, to realize a single MTZF at each edge in superfluid with d–wave pairing in a Majorana type Kramers Doublet (MTKD) state, it is important to lift both the spin and the Dirac Cones degeneracies. These non-Abelian anyons obey the non-Abelian statistics which may be useful to realize topological quantum computation. We suggest that the topological feature could be tested experimentally in superfluids of cold fermionic atoms with laser field induced spin orbit interactions. These studies give a new possible way to investigate the MTZFs in a two-dimensional (2D) system as compared to MFs in the one-dimensional (1D) nano-wire and 2D system, and enrich the theoretical research on finding non-Abelian anyons in topological system.
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spelling pubmed-56488792017-10-26 Creating single Majorana type topological zero mode in superfluids of cold fermionic atoms Ye, Xiao-Shan Liu, Yong-Jun Zhang, Xiu Yun Wu, Guoqing Sci Rep Article We explore the topological phase, which involves Majorana type topological zero mode fermions (MTZFs) at the edge, using d–wave superfluid with Rashba spin-orbit coupling (SOC) interactions. The self-Hermitian of this MTZF([Formula: see text] ) is similar to that of the Majorana fermions (MFs) ([Formula: see text] ). We show that, to realize a single MTZF at each edge in superfluid with d–wave pairing in a Majorana type Kramers Doublet (MTKD) state, it is important to lift both the spin and the Dirac Cones degeneracies. These non-Abelian anyons obey the non-Abelian statistics which may be useful to realize topological quantum computation. We suggest that the topological feature could be tested experimentally in superfluids of cold fermionic atoms with laser field induced spin orbit interactions. These studies give a new possible way to investigate the MTZFs in a two-dimensional (2D) system as compared to MFs in the one-dimensional (1D) nano-wire and 2D system, and enrich the theoretical research on finding non-Abelian anyons in topological system. Nature Publishing Group UK 2017-10-19 /pmc/articles/PMC5648879/ /pubmed/29051593 http://dx.doi.org/10.1038/s41598-017-13641-4 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
Ye, Xiao-Shan
Liu, Yong-Jun
Zhang, Xiu Yun
Wu, Guoqing
Creating single Majorana type topological zero mode in superfluids of cold fermionic atoms
title Creating single Majorana type topological zero mode in superfluids of cold fermionic atoms
title_full Creating single Majorana type topological zero mode in superfluids of cold fermionic atoms
title_fullStr Creating single Majorana type topological zero mode in superfluids of cold fermionic atoms
title_full_unstemmed Creating single Majorana type topological zero mode in superfluids of cold fermionic atoms
title_short Creating single Majorana type topological zero mode in superfluids of cold fermionic atoms
title_sort creating single majorana type topological zero mode in superfluids of cold fermionic atoms
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5648879/
https://www.ncbi.nlm.nih.gov/pubmed/29051593
http://dx.doi.org/10.1038/s41598-017-13641-4
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