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
收藏
页码：5017 / 5027
页数：11
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