Abstract: The Ashkin-Teller (AT) model may be viewed as a pair of interacting Ising models. In the symmetric case, there are two coupling constants J,U where J describes the interaction in both Ising models and U the interaction between the two of them. In this talk, we discuss the phase diagram of the symmetric AT model on the 2D Euclidean lattice with a focus on the case U>J. We will introduce its graphical representation and construct a coupling with the six-vertex model. Building on that, we sketch a proof for the existence of two phase transitions when U>J.
This talk is based on joint work with Yacine Aoun and Alexander Glazman.
Phase transitions in the Ashkin-Teller model
13.10.2022 14:00 - 16:00
Organiser:
Marcin Lis (TU Wien)
Location:
TU Wien, EI 6 Eckert HS, 4. OG, Gußhausstraße 25-29, 1040 Wien