XY model : BKT transition and height function duality.
Abstract
The XY model is a derivative of the Ising model, where each spin is taken in the sphere S^1 instead of {+/- 1}. This new model does not exhibit a regular magnetisation phase transition, but one of a different kind called BKT transtion. This talk explores the BKT transition for the XY model, and explains the existing duality between this model and a height function model. After that, I'll use this duality to focus on one core theorem we proved in our joint work with my supervisor Piet Lammers : the Reverse Ginibre Inequality.