Ising model on a hyperbolic plane with a boundary

Details Ising model on a hyperbolic plane with a boundary Ising model on a hyperbolic plane with a boundary

2011-09-28

arxiv.org/abs/1109.6227v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, 9 figures, to appear in Phys. Rev. E

Scientific paper

A hyperbolic plane can be modeled by a structure called the enhanced binary tree. We study the ferromagnetic Ising model on top of the enhanced binary tree using the renormalization-group analysis in combination with transfer-matrix calculations. We find a reasonable agreement with Monte Carlo calculations on the transition point, and the resulting critical exponents suggest the mean-field surface critical behavior.

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