DC Field
Value
Language
dc.contributor.author
van Engelenburg, Diederik
-
dc.contributor.author
Lis, Marcin
-
dc.date.accessioned
2023-01-05T10:07:28Z
-
dc.date.available
2023-01-05T10:07:28Z
-
dc.date.issued
2022-11-15
-
dc.identifier.citation
<div class="csl-bib-body"> <div class="csl-entry">van Engelenburg, D., &#38; Lis, M. (2022). An Elementary Proof of Phase Transition in the Planar XY Model. <i>Communications in Mathematical Physics</i>, <i>399</i>(1), 85–104. https://doi.org/10.1007/s00220-022-04550-3</div> </div>
-
dc.identifier.issn
0010-3616
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/139351
-
dc.description.abstract
Using elementary methods we obtain a power-law lower bound on the two-point function of the planar XY spin model at low temperatures. This was famously first rigorously obtained by Fröhlich and Spencer (Commun Math Phys 81(4):527–602, 1981) and establishes a Berezinskii–Kosterlitz–Thouless phase transition in the model. Our argument relies on a new loop representation of spin correlations, a recent result of Lammers (Probab Relat Fields, 2021) on delocalisation of general integer-valued height functions, and classical correlation inequalities.
en
dc.language.iso
en
-
dc.publisher
SPRINGER
-
dc.relation.ispartof
Communications in Mathematical Physics
-
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
-
dc.subject
Berezinskii-Kosterlitz-Thouless phase transition
en
dc.subject
XY model
en
dc.title
An Elementary Proof of Phase Transition in the Planar XY Model
en
dc.type
Article
en
dc.type
Artikel
de
dc.rights.license
Creative Commons Namensnennung 4.0 International
de
dc.rights.license
Creative Commons Attribution 4.0 International
en
dc.identifier.scopus
2-s2.0-85141942979
-
dc.identifier.url
https://api.elsevier.com/content/abstract/scopus_id/85141942979
-
dc.contributor.affiliation
University of Vienna, Austria
-
dc.description.startpage
85
-
dc.description.endpage
104
-
dcterms.dateSubmitted
2021-11-29
-
dc.rights.holder
© The Author(s) 2022
-
dc.type.category
Original Research Article
-
tuw.container.volume
399
-
tuw.container.issue
1
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tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
-
tuw.researchTopic.id
A3
-
tuw.researchTopic.name
Fundamental Mathematics Research
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tuw.researchTopic.value
100
-
dcterms.isPartOf.title
Communications in Mathematical Physics
-
tuw.publication.orgunit
E105-07 - Forschungsbereich Mathematische Stochastik
-
tuw.publication.orgunit
E105 - Institut für Stochastik und Wirtschaftsmathematik
-
tuw.publisher.doi
10.1007/s00220-022-04550-3
-
dc.date.onlinefirst
2022-11-15
-
dc.identifier.eissn
1432-0916
-
dc.identifier.libraryid
AC17203744
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dc.description.numberOfPages
20
-
tuw.author.orcid
0000-0003-1749-9349
-
tuw.author.orcid
0000-0003-1660-7141
-
dc.rights.identifier
CC BY 4.0
de
dc.rights.identifier
CC BY 4.0
en
wb.sci
true
-
wb.sciencebranch
Physik, Astronomie
-
wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1030
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
20
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wb.sciencebranch.value
80
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item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
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item.openaccessfulltext
Open Access
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item.openairetype
research article
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item.fulltext
with Fulltext
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item.mimetype
application/pdf
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item.languageiso639-1
en
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item.grantfulltext
open
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item.cerifentitytype
Publications
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crisitem.author.dept
University of Vienna
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crisitem.author.dept
E105-07 - Forschungsbereich Wahrscheinlichkeitstheorie
-
crisitem.author.orcid
0000-0003-1749-9349
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crisitem.author.parentorg
E105 - Institut für Stochastik und Wirtschaftsmathematik
-
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