A new point of view on topological phase transitions

Christophe Garban (Université Lyon 1)

20-Jul-2020, 16:00-17:00 (4 years ago)

Abstract: Topological phase transitions were discovered by Berezinskii-Kosterlitz-Thouless in the 70's. They describe intriguing phase transitions for classical spins systems such as the plane rotator model (or $XY$ model). I will start by reviewing how this phase transition arises in cases such as:

the $XY$ model (spins on $\mathbb{Z}^2$ with values in the unit circle) the integer-valued Gaussian Free Field (or $\mathbb{Z}$-ferromagnet) Abelian Yang-Mills on $\mathbb{Z}^4$ I will then connect topological phase transitions to a statistical reconstruction problem concerning the Gaussian Free Field and will show that the feasibility of the reconstruction undergoes a KT transition.

This is a joint work with Avelio Sepúlveda (Lyon) and the talk will be based mostly on the preprint: arxiv.org/abs/2002.12284

condensed mattermathematical physics

Audience: researchers in the topic

( video )


Quantum Matter meets Maths (IST, Lisbon)

Series comments: To receive the series announcements, please register in
math.tecnico.ulisboa.pt/seminars/QM3/index.php?action=subscribe#subscribe
QM3 video channel for the past talks:
portal.educast.fccn.pt/videos?c=6292

Organizers: João P. Nunes, Jose Mourao*, Pedro Ribeiro, Roger Picken, Vítor Rocha Vieira
*contact for this listing

Export talk to