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arXiv · 1005.3378

Phase Transition of the Ising model on a Hyperbolic Lattice

Takatsugu Iharagi·Andrej Gendiar·Hiroshi Ueda·Tomotoshi Nishino
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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.

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Takatsugu Iharagi, Andrej Gendiar, Hiroshi Ueda, Tomotoshi Nishino. 2010-07-14. Phase Transition of the Ising model on a Hyperbolic Lattice. https://doi.org/10.1143/jpsj.79.104001

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