Two-dimensional four-line models of the Ising model type

被引：0

作者：

V. V. Katrakhov

Yu. N. Kharchenko

机构：

[1] RAS,Institute for Applied Mathematics, Far East Branch

来源：

Theoretical and Mathematical Physics | 2006年 / 149卷

关键词：

Ising model; transfer matrix; partition function; ferromagnet; antiferromagnet; free energy; magnetization; magnetic susceptibility; critical point; singular curve; phase transition;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We briefly describe the theory of root transfer matrices for four-line models with the field in the new indexless form. We use theoretical and numerical methods to reveal new effects in the theory of singular points and phase transitions. A substantial part of the results is obtained using a numerical algorithm that drastically (at least exponentially) reduces the computational complexity of Ising-type models by using the extremely sparse root transfer matrix.

引用

页码：1545 / 1558

页数：13