Lee-Yang zeros and the Ising model on the Sierpinski gasket

被引：12

作者：

Burioni, R ^{[1
]}

Cassi, D ^{[1
]}

Donetti, L ^{[1
]}

机构：

[1] Univ Parma, Dipartimento Fis, Ist Nazl Fis Mat, Unita Parma, I-43100 Parma, Italy

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1999年 / 32卷 / 27期

关键词：

D O I：

10.1088/0305-4470/32/27/303

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the distribution of the complex temperature zeros for the partition function of the Ising model on a Sierpinski gasket using an exact recursive relation. Although the zeros arrange on a curve pinching the real axis at T = 0 in the thermodynamic limit, their density vanishes asymptotically along the curve approaching the origin. This phenomenon explains the coincidence of the low-temperature regime on the Sierpinski gasket and on the linear chain.

引用

页码：5017 / 5027

页数：11

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