Sep 30, 2021

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

VIENNA PROBABILITY SEMINAR

Date: September 30, 2021 | 2:00 pm – 2:50 pm
Speaker: Marcin Lis, Uni Wien
Location: 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.


 

More Information:

Date:
September 30, 2021
2:00 pm – 2:50 pm

Speaker:
Marcin Lis, Uni Wien

Location:
Rényi Institute Budapest

Contact:

Birgit Oosthuizen-Noczil

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

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