Work

Ising model on a hyperbolic plane with a boundary

Year: 2011
Type: article
Abstract: 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.
Language: English
Open Access status: green
OpenAlex ID: W1986394676
FWCI: 1.204
Cites: 18
Cited by: 10
Related to: 10