Planar quasiperiodic Ising models

[摘要] 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. (C) 2000 Elsevier Science B.V. All rights reserved.

[发布日期] 2000-12-15

[效力级别]  Proceedings Paper

[关键词] quasicrystals;Ising model;partition function zeros;phase transition;critical point properties