Improved Peierls argument for high-dimensional Ising models

被引：24

作者：

Lebowitz, JL ^{[1
]}

Mazel, AE

机构：

[1] Rutgers State Univ, Dept Math & Phys, New Brunswick, NJ 08903 USA

[2] Int Inst Earthquake Predict Theory & Theoret Geop, Moscow 113556, Russia

来源：

JOURNAL OF STATISTICAL PHYSICS | 1998年 / 90卷 / 3-4期

关键词：

Ising model; Peierls contour; low-temperature expansion; high dimension;

D O I：

10.1023/A:1023205826704

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the low-temperature expansion for the Ising model on Z(d), d greater than or equal to 2; with ferromagnetic nearest neighbor interactions in terms of Peierls contours. We prove that the expansion converges for all temperatures smaller than Cd(log d)(-1), which is the correct order in d.

引用

页码：1051 / 1059

页数：9

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