Non-Universal Critical Behaviour of Two-Dimensional Ising Systems
Statistical Mechanics
2009-11-10 v1
Abstract
Two conditions are derived for Ising models to show non-universal critical behaviour, namely conditions concerning 1) logarithmic singularity of the specific heat and 2) degeneracy of the ground state. These conditions are satisfied with the eight-vertex model, the Ashkin-Teller model, some Ising models with short- or long-range interactions and even Ising systems without the translational or the rotational invariance.
Cite
@article{arxiv.cond-mat/0404572,
title = {Non-Universal Critical Behaviour of Two-Dimensional Ising Systems},
author = {Kazuhiko Minami and Masuo Suzuki},
journal= {arXiv preprint arXiv:cond-mat/0404572},
year = {2009}
}
Comments
17 pages