Resilience of the topological phases to frustration

Abstract Recently it was highlighted that one-dimensional antiferromagnetic spin models with frustrated boundary conditions, i.e. periodic boundary conditions in a ring with an odd number of elements, may show very peculiar behavior. Indeed the presence of frustrated boundary conditions can destroy...

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Autores principales:	Vanja Marić, Fabio Franchini, Domagoj Kuić, Salvatore Marco Giampaolo
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/ef0f282b826144ce9cff8fabb6cc294c
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spelling	oai:doaj.org-article:ef0f282b826144ce9cff8fabb6cc294c2021-12-02T14:02:55ZResilience of the topological phases to frustration10.1038/s41598-021-86009-42045-2322https://doaj.org/article/ef0f282b826144ce9cff8fabb6cc294c2021-03-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-86009-4https://doaj.org/toc/2045-2322Abstract Recently it was highlighted that one-dimensional antiferromagnetic spin models with frustrated boundary conditions, i.e. periodic boundary conditions in a ring with an odd number of elements, may show very peculiar behavior. Indeed the presence of frustrated boundary conditions can destroy the local magnetic orders presented by the models when different boundary conditions are taken into account and induce novel phase transitions. Motivated by these results, we analyze the effects of the introduction of frustrated boundary conditions on several models supporting (symmetry protected) topological orders, and compare our results with the ones obtained with different boundary conditions. None of the topological order phases analyzed are altered by this change. This observation leads naturally to the conjecture that topological phases of one-dimensional systems are in general not affected by topological frustration.Vanja MarićFabio FranchiniDomagoj KuićSalvatore Marco GiampaoloNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-9 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Vanja Marić Fabio Franchini Domagoj Kuić Salvatore Marco Giampaolo Resilience of the topological phases to frustration
description	Abstract Recently it was highlighted that one-dimensional antiferromagnetic spin models with frustrated boundary conditions, i.e. periodic boundary conditions in a ring with an odd number of elements, may show very peculiar behavior. Indeed the presence of frustrated boundary conditions can destroy the local magnetic orders presented by the models when different boundary conditions are taken into account and induce novel phase transitions. Motivated by these results, we analyze the effects of the introduction of frustrated boundary conditions on several models supporting (symmetry protected) topological orders, and compare our results with the ones obtained with different boundary conditions. None of the topological order phases analyzed are altered by this change. This observation leads naturally to the conjecture that topological phases of one-dimensional systems are in general not affected by topological frustration.
format	article
author	Vanja Marić Fabio Franchini Domagoj Kuić Salvatore Marco Giampaolo
author_facet	Vanja Marić Fabio Franchini Domagoj Kuić Salvatore Marco Giampaolo
author_sort	Vanja Marić
title	Resilience of the topological phases to frustration
title_short	Resilience of the topological phases to frustration
title_full	Resilience of the topological phases to frustration
title_fullStr	Resilience of the topological phases to frustration
title_full_unstemmed	Resilience of the topological phases to frustration
title_sort	resilience of the topological phases to frustration
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/ef0f282b826144ce9cff8fabb6cc294c
work_keys_str_mv	AT vanjamaric resilienceofthetopologicalphasestofrustration AT fabiofranchini resilienceofthetopologicalphasestofrustration AT domagojkuic resilienceofthetopologicalphasestofrustration AT salvatoremarcogiampaolo resilienceofthetopologicalphasestofrustration
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Resilience of the topological phases to frustration

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