A critical Ising model on the Labyrinth
solv-int
2015-06-26 v1 可精确求解与可积系统
摘要
A zero-field Ising model with ferromagnetic coupling constants on the so-called Labyrinth tiling is investigated. Alternatively, this can be regarded as an Ising model on a square lattice with a quasi-periodic distribution of up to eight different coupling constants. The duality transformation on this tiling is considered and the self-dual couplings are determined. Furthermore, we analyze the subclass of exactly solvable models in detail parametrizing the coupling constants in terms of four rapidity parameters. For those, the self-dual couplings correspond to the critical points which, as expected, belong to the Onsager universality class.
引用
@article{arxiv.solv-int/9902009,
title = {A critical Ising model on the Labyrinth},
author = {M. Baake and U. Grimm and R. J. Baxter},
journal= {arXiv preprint arXiv:solv-int/9902009},
year = {2015}
}
备注
25 pages, 6 figures