Towards an exact solution for the three-dimensional Ising model: A method of the recurrence equations for partial contractions

被引:7
作者
Kocharovsky, Vitaly V. [1 ,2 ]
Kocharovsky, Vladimir V. [2 ,3 ]
机构
[1] Texas A&M Univ, Dept Phys & Astron, College Stn, TX 77843 USA
[2] Russian Acad Sci, Inst Appl Phys, Nizhnii Novgorod 603950, Russia
[3] Lobachevsky State Univ Nizhny Novgorod, Nizhnii Novgorod 603950, Russia
关键词
Ising model; Critical phenomena; Phase transition; Mesoscopic system; MAGNETIZATION; TRANSITION; FIELD;
D O I
10.1016/j.physleta.2015.07.026
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We find the exact solutions for the main steps in the analysis of the three-dimensional Ising model. A method is based on a recently found rigorous theory of magnetic phase transitions in a mesoscopic lattice of spins, described as the constrained spin bosons in a Holstein-Primakoff representation. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:2520 / 2523
页数:4
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