Improved Peierls Argument for High-Dimensional Ising Models

被引：0

作者：

J. L. Lebowitz

A. E. Mazel

机构：

来源：

Journal of Statistical Physics | 1998年 / 90卷

关键词：

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

D O I：

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学科分类号：

摘要：

We consider the low-temperature expansion for the Ising model on \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\mathbb{Z}^d ,d \geqslant 2$$ \end{document}, 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：8

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[10]

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