30. Sep 2021

A new approach to the Berezinskii–Kosterlitz–Thouless transition in the planar XY model

VIENNA PROBABILITY SEMINAR

Datum: 30. September 2021 | 14:00 – 14:50
Sprecher: Marcin Lis, Uni Wien
Veranstaltungsort: Rényi Institute Budapest

We present a new proof of the BKT phase transition in the spin XY (planar rotor) model on any planar lattice — a result first established by Fröhlich and Spencer in 1981. Our approach is quite elementary. It does not go through the analysis of vortices but rather through the dual integer-valued height function. We use a recent result of Lammers on delcoalization of general height functions together with a new loop representation of spin correlations in the XY model, that we believe to be of independent interest. This is joint work with Diederik van Engelenburg.


 

Weitere Informationen:

Datum:
30. September 2021
14:00 – 14:50

Sprecher:
Marcin Lis, Uni Wien

Veranstaltungsort:
Rényi Institute Budapest

Ansprechpartner:

Birgit Oosthuizen-Noczil

Email:
birgit.oosthuizen-noczil@ist.ac.at

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