1999/08/06 by Przemyslaw Repetowicz, Przemysław Repetowicz, Uwe Grimm +1
Materials Science · Mathematics · Physics and Astronomy · #Quasicrystal Structures and Properties #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1016/s0921-5093(00)01153-9
published as Mat. Sci. Eng. A 294-296 (2000) 638-641 · 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)
arxiv created 1999/08/06 · openalex publication_date 2000/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.