Topological superconductors from one-dimensional periodically modulated Majorana chains

Abstract By analogy to the topological models of fermions in one-dimensional periodically modulated lattices, we provide a systematic method to construct topological superconductors in BDI class. We then create superlattices of Majorana fermions to interpolate several Majorana chains, and realize to...

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Autores principales:	Yang Lin, Weichang Hao, Mei Wang, Jianqiang Qian, Huaiming Guo
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/82594804013a40d987a25a8d8291db5f
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spelling	oai:doaj.org-article:82594804013a40d987a25a8d8291db5f2021-12-02T15:05:46ZTopological superconductors from one-dimensional periodically modulated Majorana chains10.1038/s41598-017-09160-x2045-2322https://doaj.org/article/82594804013a40d987a25a8d8291db5f2017-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-09160-xhttps://doaj.org/toc/2045-2322Abstract By analogy to the topological models of fermions in one-dimensional periodically modulated lattices, we provide a systematic method to construct topological superconductors in BDI class. We then create superlattices of Majorana fermions to interpolate several Majorana chains, and realize topological superconductors with arbitrary winding numbers. Two kinds of chiral symmetries are identified in the systems with multiple chains. Of the two winding numbers associated to the chiral symmetries, one counts the number of zero-energy modes, while the other counts the difference of the numbers of α- and β-type Majorana zero states. We also show that one α- and one β-type Majorana zero modes collapse into fractional charged zero states when they are spatially intertwined. In the systems with odd number of chains, it induces topological superconductors with coexistence of fractional charged zero states and Majorana zero states. Finally by introducing symmetry breaking term, we present an intuitive explanation of the Z2 nature of the topological invariant in the D class.Yang LinWeichang HaoMei WangJianqiang QianHuaiming GuoNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-10 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Yang Lin Weichang Hao Mei Wang Jianqiang Qian Huaiming Guo Topological superconductors from one-dimensional periodically modulated Majorana chains
description	Abstract By analogy to the topological models of fermions in one-dimensional periodically modulated lattices, we provide a systematic method to construct topological superconductors in BDI class. We then create superlattices of Majorana fermions to interpolate several Majorana chains, and realize topological superconductors with arbitrary winding numbers. Two kinds of chiral symmetries are identified in the systems with multiple chains. Of the two winding numbers associated to the chiral symmetries, one counts the number of zero-energy modes, while the other counts the difference of the numbers of α- and β-type Majorana zero states. We also show that one α- and one β-type Majorana zero modes collapse into fractional charged zero states when they are spatially intertwined. In the systems with odd number of chains, it induces topological superconductors with coexistence of fractional charged zero states and Majorana zero states. Finally by introducing symmetry breaking term, we present an intuitive explanation of the Z2 nature of the topological invariant in the D class.
format	article
author	Yang Lin Weichang Hao Mei Wang Jianqiang Qian Huaiming Guo
author_facet	Yang Lin Weichang Hao Mei Wang Jianqiang Qian Huaiming Guo
author_sort	Yang Lin
title	Topological superconductors from one-dimensional periodically modulated Majorana chains
title_short	Topological superconductors from one-dimensional periodically modulated Majorana chains
title_full	Topological superconductors from one-dimensional periodically modulated Majorana chains
title_fullStr	Topological superconductors from one-dimensional periodically modulated Majorana chains
title_full_unstemmed	Topological superconductors from one-dimensional periodically modulated Majorana chains
title_sort	topological superconductors from one-dimensional periodically modulated majorana chains
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/82594804013a40d987a25a8d8291db5f
work_keys_str_mv	AT yanglin topologicalsuperconductorsfromonedimensionalperiodicallymodulatedmajoranachains AT weichanghao topologicalsuperconductorsfromonedimensionalperiodicallymodulatedmajoranachains AT meiwang topologicalsuperconductorsfromonedimensionalperiodicallymodulatedmajoranachains AT jianqiangqian topologicalsuperconductorsfromonedimensionalperiodicallymodulatedmajoranachains AT huaimingguo topologicalsuperconductorsfromonedimensionalperiodicallymodulatedmajoranachains
_version_	1718388713723002880

Topological superconductors from one-dimensional periodically modulated Majorana chains

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