Two-dimensional quantum liquids from interacting non-Abelian anyons

A set of localized, non-Abelian anyons—such as vortices in a px+ipy superconductor or quasiholes in certain quantum Hall states—gives rise to a macroscopic degeneracy. Such a degeneracy is split in the presence of interactions between the anyons. Here, we show that in two spatial dimensions this spl...

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Main Authors: Ludwig, Andreas W.W., Poilblanc, Didier, Trebst, Simon, Troyer, Matthias
Format: Article in Journal/Newspaper
Language:English
Published: IOP Publishing 2011
Subjects:
IPY
Online Access:https://hdl.handle.net/20.500.11850/35793
https://doi.org/10.3929/ethz-b-000035793
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spelling ftethz:oai:www.research-collection.ethz.ch:20.500.11850/35793 2023-08-20T04:07:36+02:00 Two-dimensional quantum liquids from interacting non-Abelian anyons Ludwig, Andreas W.W. Poilblanc, Didier Trebst, Simon Troyer, Matthias 2011-04 application/application/pdf https://hdl.handle.net/20.500.11850/35793 https://doi.org/10.3929/ethz-b-000035793 en eng IOP Publishing info:eu-repo/semantics/altIdentifier/doi/10.1088/1367-2630/13/4/045014 info:eu-repo/semantics/altIdentifier/wos/000289993000006 http://hdl.handle.net/20.500.11850/35793 doi:10.3929/ethz-b-000035793 info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/3.0/ Creative Commons Attribution 3.0 Unported New Journal of Physics, 13 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 2011 ftethz https://doi.org/20.500.11850/3579310.3929/ethz-b-00003579310.1088/1367-2630/13/4/045014 2023-07-30T23:49:41Z A set of localized, non-Abelian anyons—such as vortices in a px+ipy superconductor or quasiholes in certain quantum Hall states—gives rise to a macroscopic degeneracy. Such a degeneracy is split in the presence of interactions between the anyons. Here, we show that in two spatial dimensions this splitting selects a unique collective state as ground state of the interacting many-body system. This collective state can be a novel gapped quantum liquid nucleated inside the original parent liquid (of which the anyons are excitations). This physics is of relevance for any quantum Hall plateau realizing a non-Abelian quantum Hall state when moving off the center of the plateau. ISSN:1367-2630 Article in Journal/Newspaper IPY ETH Zürich Research Collection
institution Open Polar
collection ETH Zürich Research Collection
op_collection_id ftethz
language English
description A set of localized, non-Abelian anyons—such as vortices in a px+ipy superconductor or quasiholes in certain quantum Hall states—gives rise to a macroscopic degeneracy. Such a degeneracy is split in the presence of interactions between the anyons. Here, we show that in two spatial dimensions this splitting selects a unique collective state as ground state of the interacting many-body system. This collective state can be a novel gapped quantum liquid nucleated inside the original parent liquid (of which the anyons are excitations). This physics is of relevance for any quantum Hall plateau realizing a non-Abelian quantum Hall state when moving off the center of the plateau. ISSN:1367-2630
format Article in Journal/Newspaper
author Ludwig, Andreas W.W.
Poilblanc, Didier
Trebst, Simon
Troyer, Matthias
spellingShingle Ludwig, Andreas W.W.
Poilblanc, Didier
Trebst, Simon
Troyer, Matthias
Two-dimensional quantum liquids from interacting non-Abelian anyons
author_facet Ludwig, Andreas W.W.
Poilblanc, Didier
Trebst, Simon
Troyer, Matthias
author_sort Ludwig, Andreas W.W.
title Two-dimensional quantum liquids from interacting non-Abelian anyons
title_short Two-dimensional quantum liquids from interacting non-Abelian anyons
title_full Two-dimensional quantum liquids from interacting non-Abelian anyons
title_fullStr Two-dimensional quantum liquids from interacting non-Abelian anyons
title_full_unstemmed Two-dimensional quantum liquids from interacting non-Abelian anyons
title_sort two-dimensional quantum liquids from interacting non-abelian anyons
publisher IOP Publishing
publishDate 2011
url https://hdl.handle.net/20.500.11850/35793
https://doi.org/10.3929/ethz-b-000035793
genre IPY
genre_facet IPY
op_source New Journal of Physics, 13
op_relation info:eu-repo/semantics/altIdentifier/doi/10.1088/1367-2630/13/4/045014
info:eu-repo/semantics/altIdentifier/wos/000289993000006
http://hdl.handle.net/20.500.11850/35793
doi:10.3929/ethz-b-000035793
op_rights info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/3.0/
Creative Commons Attribution 3.0 Unported
op_doi https://doi.org/20.500.11850/3579310.3929/ethz-b-00003579310.1088/1367-2630/13/4/045014
_version_ 1774719373785694208

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