Planar quasiperiodic Ising models

Details Planar quasiperiodic Ising models Planar quasiperiodic Ising models

1999-08-06

arxiv.org/abs/cond-mat/9908088v1

Mat. Sci. Eng. A 294-296 (2000) 638-641

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 PostScript figures (2 of which have been converted into files with a fixed resolution to meet the limits enforced o

Scientific paper

10.1016/S0921-5093(00)01153-9

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.

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