Planar quasiperiodic Ising models

doi:10.1016/S0921-5093(00)01153-9

2000-12-01

Przemysław Repetowicz

Uwe Grimm

Michael Schreiber

DOI：10.1016/S0921-5093(00)01153-9

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

Keyword:

quasicrystals

Ising model

partition function zeros

phase transition

critical point properties

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Materials Science and Engineering A-Structural Materials Properties Microstructure and Processing

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3.7W

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13.8W

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