Zeros of the Potts model partition function on Sierpinski graphs

被引：13

作者：

Chang, Shu-Chiuan ^{[1
]}

Shrock, Robert ^{[2
]}

机构：

[1] Natl Chen Kung Univ, Dept Phys, Tainan 70101, Taiwan

[2] SUNY Stony Brook, CN Yang Inst Theoret Phys, Stony Brook, NY 11794 USA

来源：

PHYSICS LETTERS A | 2013年 / 377卷 / 09期

基金：

美国国家科学基金会;

关键词：

Potts model; Fractals; Sierpinski graphs; Chromatic and Fisher zeros; HIERARCHICAL LATTICES; PHASE-TRANSITIONS; ISING-MODELS; FRACTAL LATTICES; STRIP GRAPHS; SPIN SYSTEMS; JULIA SETS; ANTIFERROMAGNETS; CARPETS; GASKET;

D O I：

10.1016/j.physleta.2013.01.017

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We calculate zeros of the q-state Potts model partition function on m'th-iterate Sierpinski graphs, S-m, in the variable q and in a temperature-like variable, y. We infer some conjectured asymptotic properties of the loci of zeros in the limit m -> infinity and relate these to thermodynamic properties of the q-state Potts ferromagnet and antiferromagnet on the Sierpinski gasket fractal, S-infinity. (c) 2013 Elsevier B.V. All rights reserved.

引用

页码：671 / 675

页数：5

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