Linked-cluster expansion of the Ising model

被引：15

作者：

Campostrini, M ^{[1
]}

机构：

[1] INFN, Sezione Pisa, Pisa, Italy

[2] Univ Pisa, Dipartimento Fis, Pisa, Italy

来源：

JOURNAL OF STATISTICAL PHYSICS | 2001年 / 103卷 / 1-2期

关键词：

high-temperature expansion; Ising model;

D O I：

10.1023/A:1004884006193

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The linked-cluster expansion technique for the high-temperature expansion of spin modes is reviewed. A new algorithm for the computation of three-point and higher Green's functions is presented. Series are computed for all components of two-point Green's functions for a generalized 3D Ising model, to 25th order on the bce lattice and to 23rd order on the sc lattice. Series for zero-momentum four-. six-, and eight-point functions are computed to 21st, 19th, and 17th order respectively on the bcc lattice.

引用

页码：369 / 394

页数：26

共 15 条

[1] N-vector spin models on the simple-cubic and the body-centered-cubic lattices: A study of the critical behavior of the susceptibility and of the correlation length by high-temperature series extended to order beta(21) [J].