Staircase to higher-order topological phase transitions

We find a series of topological phase transitions of increasing order, beyond the more standard second-order phase transition in a one-dimensional topological superconductor. The jumps in the order of the transitions depend on the range of the pairing interaction, which is parametrized by an algebra...

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Detalles Bibliográficos
Autores: Cats, P., Quelle, A., Viyuela, O., Martín-Delgado Alcántara, Miguel Ángel, Morais Smith, C.
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/12039
Acceso en línea:https://hdl.handle.net/20.500.14352/12039
Access Level:acceso abierto
Palabra clave:53
Quantized hall conductance
Bound-states
Insulator-transition
Model
Superconductors
Impurity
Systems
Superfluid
Lattice
Física-Modelos matemáticos
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spelling Staircase to higher-order topological phase transitionsCats, P.Quelle, A.Viyuela, O.Martín-Delgado Alcántara, Miguel ÁngelMorais Smith, C.53Quantized hall conductanceBound-statesInsulator-transitionModelSuperconductorsImpuritySystemsSuperfluidLatticeFísica-Modelos matemáticosWe find a series of topological phase transitions of increasing order, beyond the more standard second-order phase transition in a one-dimensional topological superconductor. The jumps in the order of the transitions depend on the range of the pairing interaction, which is parametrized by an algebraic decay with exponent α. Remarkably, in the limit α = 1 the order of the topological transition becomes infinite. We compute the critical exponents for the series of higher-order transitions in exact form and find that they fulfill the hyperscaling relation. We also study the critical behavior at the boundary of the system and discuss potential experimental platforms of magnetic atoms in superconductors.American Physical SocietyUniversidad Complutense de Madrid20182018-03-1220182018-03-12journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/12039reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/120392026-06-02T12:44:21Z
dc.title.none.fl_str_mv Staircase to higher-order topological phase transitions
title Staircase to higher-order topological phase transitions
spellingShingle Staircase to higher-order topological phase transitions
Cats, P.
53
Quantized hall conductance
Bound-states
Insulator-transition
Model
Superconductors
Impurity
Systems
Superfluid
Lattice
Física-Modelos matemáticos
title_short Staircase to higher-order topological phase transitions
title_full Staircase to higher-order topological phase transitions
title_fullStr Staircase to higher-order topological phase transitions
title_full_unstemmed Staircase to higher-order topological phase transitions
title_sort Staircase to higher-order topological phase transitions
dc.creator.none.fl_str_mv Cats, P.
Quelle, A.
Viyuela, O.
Martín-Delgado Alcántara, Miguel Ángel
Morais Smith, C.
author Cats, P.
author_facet Cats, P.
Quelle, A.
Viyuela, O.
Martín-Delgado Alcántara, Miguel Ángel
Morais Smith, C.
author_role author
author2 Quelle, A.
Viyuela, O.
Martín-Delgado Alcántara, Miguel Ángel
Morais Smith, C.
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 53
Quantized hall conductance
Bound-states
Insulator-transition
Model
Superconductors
Impurity
Systems
Superfluid
Lattice
Física-Modelos matemáticos
topic 53
Quantized hall conductance
Bound-states
Insulator-transition
Model
Superconductors
Impurity
Systems
Superfluid
Lattice
Física-Modelos matemáticos
description We find a series of topological phase transitions of increasing order, beyond the more standard second-order phase transition in a one-dimensional topological superconductor. The jumps in the order of the transitions depend on the range of the pairing interaction, which is parametrized by an algebraic decay with exponent α. Remarkably, in the limit α = 1 the order of the topological transition becomes infinite. We compute the critical exponents for the series of higher-order transitions in exact form and find that they fulfill the hyperscaling relation. We also study the critical behavior at the boundary of the system and discuss potential experimental platforms of magnetic atoms in superconductors.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-03-12
2018
2018-03-12
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/12039
url https://hdl.handle.net/20.500.14352/12039
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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