Phase Transition of the Ising model on a Hyperbolic Lattice

Details Phase Transition of the Ising model on a Hyperbolic Lattice Phase Transition of the Ising model on a Hyperbolic Lattice

2010-05-19

arxiv.org/abs/1005.3378v2

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

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.

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