Phase Transition of the Ising model on a Hyperbolic Lattice
arXiv:1005.3378 · doi:10.1143/JPSJ.79.104001
Abstract
The matrix product structure is considered on a regular lattice in the hyperbolic plane. The phase transition of the Ising model is observed on the hyperbolic $(5, 4)$ lattice by means of the corner-transfer-matrix renormalization group (CTMRG) method. Calculated correlation length is always finite even at the transition temperature, where mean-field like behavior is observed. The entanglement entropy is also always finite.
4 pages, 3 figures