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Planar quasiperiodic Ising models

Repetowicz, Przemyslaw; Grimm, Uwe and Schreiber, Michael (2000). Planar quasiperiodic Ising models. Materials Science and Engineering A, 294-296 pp. 638–641.

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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.

Item Type: Journal Article
ISSN: 0921-5093
Keywords: quasicrystals; Ising model; partition function zeros; phase transition; critical point properties
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 12313
Depositing User: Uwe Grimm
Date Deposited: 14 Nov 2008 11:09
Last Modified: 02 Dec 2010 20:15
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