<div class="csl-bib-body">
<div class="csl-entry">Lis, M. (2022, July 20). <i>An elementary proof of phase transition in the planar XY model</i> [Conference Presentation]. Joint international meeting of the AMS, SMF and EMS 2022, Grenoble, France.</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/153268
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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 Frhlich and
Spencer 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 on delocalisation of
integer-valued height functions, and classical correlation inequalities.
This is joint work with Diederik van Engelenburg.
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dc.description.sponsorship
Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
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dc.language.iso
en
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dc.subject
XY model
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dc.subject
height functions
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dc.subject
BKT phase transition
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dc.title
An elementary proof of phase transition in the planar XY model