Planar quasiperiodic Ising models
Statistical Mechanics
2007-05-23 v1 Disordered Systems and Neural Networks
Abstract
We investigate zero-field Ising models on periodic approximants of planar quasiperiodic tilings by means of partition function zeros and high-temperature expansions. These are obtained by employing a determinant expression for the partition function. The partition function zeros in the complex temperature plane yield precise estimates of the critical temperature of the quasiperiodic model. Concerning the critical behaviour, our results are compatible with Onsager universality, in agreement with the Harris-Luck criterion based on scaling arguments.
Cite
@article{arxiv.cond-mat/9908088,
title = {Planar quasiperiodic Ising models},
author = {Przemyslaw Repetowicz and Uwe Grimm and Michael Schreiber},
journal= {arXiv preprint arXiv:cond-mat/9908088},
year = {2007}
}
Comments
4 pages, 3 PostScript figures (2 of which have been converted into files with a fixed resolution to meet the limits enforced on file size)