Quantum Monte-Carlo study of phase transitions in Heisenberg chains with long-range interactions

被引：2
|
作者：
Vassiliev, ON [1 ]
Cottam, MG
Rojdestvenski, IV
机构：
[1] Univ Western Ontario, Dept Phys & Astron, London, ON N6A 3K7, Canada
[2] Umea Univ, Dept Plant Physiol, S-90187 Umea, Sweden
来源：
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS | 2001年 / 226卷 / PART I期
关键词：
Heisenberg chain; Monte-Carlo simulation; phase transitions; spin correlation functions;
D O I：
10.1016/S0304-8853(00)00692-2
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Ordering transitions in the Heisenberg ferromagnetic chains are studied using the Handscomb quantum Monte-Carlo method. The spin-coupling parameter depends as r(-p) on the distance r between spins. The spin correlation function, susceptibility and long-range order are investigated. The transition is found to exist when p < 2 in agreement with previous predictions. Temperatures of the transition and critical exponents are estimated. No indications of the transition are found when p greater than or equal to 2. In the case of p = 2 (the Haldane-Shastry model) the Monte-Carlo results agree with known exact formulae. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：588 / 589
页数：2
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