Upper Bounds on the Critical Temperature of the Ashkin-Teller Model

被引：14

作者：

Santos, Jander P. ^{[1
]}

Sa Barreto, F. C. ^{[2
]}

机构：

[1] Univ Fed Sao Joao del Rei, Dept Matemat, BR-30301160 Sao Joao del Rei, MG, Brazil

[2] Univ Fed Minas Gerais, Dept Fis, BR-30161970 Belo Horizonte, MG, Brazil

来源：

BRAZILIAN JOURNAL OF PHYSICS | 2016年 / 46卷 / 01期

关键词：

Ashkin-Teller model; Correlation inequalities; Bounds for the critical temperature; Phase diagrams; FIELD RENORMALIZATION-GROUP; ISING-MODEL; MONTE-CARLO; GRIFFITHS INEQUALITIES; FERROMAGNETS; TRANSITIONS; STATISTICS;

D O I：

10.1007/s13538-015-0385-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Starting from correlation identities for the Ashkin-Teller model and using correlation inequalities, we obtain rigorous upper bounds on the critical temperatures. The results were obtained in hexagonal, square, and cubic lattices and improve over effective field type calculations. The rigorous upper bounds results are compared to those obtained by other methods.

引用

页码：70 / 77

页数：8

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