# Anti-ferromagnetic Potts model in two dimensions

*by Youjin Deng*

*Institution:*University of Science and Technology of China

*Date: Mon 17th December 2012*

*Time: 1:00 PM*

*Location: Room 213, Richard Berry*

*Abstract*: In this talk, I will present an argument as well as numerical evidence that the 4-state Potts antiferromagnet has a finite-temperature phase transition on any Eulerian plane triangulation in which one sublattice consists of vertices of degree 4, and exhibit infinite families of two-dimensional lattices on which the q-state Potts antiferromagnet has a finite-temperature phase transition at arbitrarily large values of q. Moreover, we find that the 3-state Potts antiferromagnet has a zero-temperature critical point on a quadrangulation of self-dual type and has a finite-temperature phase transition on a quadrangulation of non-self-dual type.