We consider Ising models on a hyperbolic graph which, loosely speaking, is a discretization of the hyperbolic plane H2 in the same sense as Zd is a discretization of Rd. We prove that the models exhibit multiple phase transitions. Analogous results for Potts models can be obtained in the same way.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics