A bilayer Double Semion model with symmetry-enriched topological order

We construct a new model of two-dimensional quantum spin systems that combines intrinsic topological orders and a global symmetry called flavour symmetry. It is referred as the bilayer Doubled Semion model (bDS) and is an instance of symmetry-enriched topological order. A honeycomb bilayer lattice is...

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Bibliographic Details
Authors: Ortiz Martín, Laura, Martín-Delgado Alcántara, Miguel Ángel
Format: article
Publication Date:2016
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/17766
Online Access:https://hdl.handle.net/20.500.14352/17766
Access Level:Open access
Keyword:53
Quantized hall conductance
Zero modes
Quantum
Superconductors
Insulators
States
Statistics
Particles
Vortices
Fermions
Física-Modelos matemáticos
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spelling A bilayer Double Semion model with symmetry-enriched topological orderOrtiz Martín, LauraMartín-Delgado Alcántara, Miguel Ángel53Quantized hall conductanceZero modesQuantumSuperconductorsInsulatorsStatesStatisticsParticlesVorticesFermionsFísica-Modelos matemáticosWe construct a new model of two-dimensional quantum spin systems that combines intrinsic topological orders and a global symmetry called flavour symmetry. It is referred as the bilayer Doubled Semion model (bDS) and is an instance of symmetry-enriched topological order. A honeycomb bilayer lattice is introduced to combine a Double Semion Topolgical Order with a global spin-flavour symmetry to get the fractionalization of its quasiparticles. The bDS model exhibits non-trival braiding self-statistics of excitations and its dual model constitutes a Symmetry-Protected Topological Order with novel edge states. This dual model gives rise to a bilayer Non-Trivial Paramagnet that is invariant under the flavour symmetry and the well-known spin flip symmetry.Elsevier MassonUniversidad Complutense de Madrid20162016-12-0120162016-12-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/17766reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/177662026-06-02T12:44:21Z
dc.title.none.fl_str_mv A bilayer Double Semion model with symmetry-enriched topological order
title A bilayer Double Semion model with symmetry-enriched topological order
spellingShingle A bilayer Double Semion model with symmetry-enriched topological order
Ortiz Martín, Laura
53
Quantized hall conductance
Zero modes
Quantum
Superconductors
Insulators
States
Statistics
Particles
Vortices
Fermions
Física-Modelos matemáticos
title_short A bilayer Double Semion model with symmetry-enriched topological order
title_full A bilayer Double Semion model with symmetry-enriched topological order
title_fullStr A bilayer Double Semion model with symmetry-enriched topological order
title_full_unstemmed A bilayer Double Semion model with symmetry-enriched topological order
title_sort A bilayer Double Semion model with symmetry-enriched topological order
dc.creator.none.fl_str_mv Ortiz Martín, Laura
Martín-Delgado Alcántara, Miguel Ángel
author Ortiz Martín, Laura
author_facet Ortiz Martín, Laura
Martín-Delgado Alcántara, Miguel Ángel
author_role author
author2 Martín-Delgado Alcántara, Miguel Ángel
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 53
Quantized hall conductance
Zero modes
Quantum
Superconductors
Insulators
States
Statistics
Particles
Vortices
Fermions
Física-Modelos matemáticos
topic 53
Quantized hall conductance
Zero modes
Quantum
Superconductors
Insulators
States
Statistics
Particles
Vortices
Fermions
Física-Modelos matemáticos
description We construct a new model of two-dimensional quantum spin systems that combines intrinsic topological orders and a global symmetry called flavour symmetry. It is referred as the bilayer Doubled Semion model (bDS) and is an instance of symmetry-enriched topological order. A honeycomb bilayer lattice is introduced to combine a Double Semion Topolgical Order with a global spin-flavour symmetry to get the fractionalization of its quasiparticles. The bDS model exhibits non-trival braiding self-statistics of excitations and its dual model constitutes a Symmetry-Protected Topological Order with novel edge states. This dual model gives rise to a bilayer Non-Trivial Paramagnet that is invariant under the flavour symmetry and the well-known spin flip symmetry.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-12-01
2016
2016-12-01
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/20.500.14352/17766
url https://hdl.handle.net/20.500.14352/17766
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 Elsevier Masson
publisher.none.fl_str_mv Elsevier Masson
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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