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具有长程相互作用S-1/2 XYZ链的热力学性质
引用本文:李嘉亮.具有长程相互作用S-1/2 XYZ链的热力学性质[J].河南师范大学学报(自然科学版),2012,40(1):54-58,62.
作者姓名:李嘉亮
作者单位:常熟理工学院物理与电子科学系;江苏省新型功能材料重点建设实验室,江苏常熟215500
基金项目:江苏省新型功能材料重点建设实验室开放基金
摘    要:采用Jordan-Wigner变换和Gaussion积分变换分析方法,研究了外场中且具有Z方向长程相互作用自旋-1/2Heisenberg XYZ链的热力学性质.得到了系统格点的磁化强度、亥姆赫兹自由能、内能、比热等热力学量的解析表达式及其数值解,讨论了有限温度时系统的一级相变和两级相变,我们所得的数值结果在退化条件下与其它文献的结果相符.

关 键 词:Heisenberg  XYZ链  Jordan-Wigner变换  Gaussion积分变换  长程相互作用

Thermodynamic Properties of the XYZ Chain with Long-range Interactions
LI Jia-liang.Thermodynamic Properties of the XYZ Chain with Long-range Interactions[J].Journal of Henan Normal University(Natural Science),2012,40(1):54-58,62.
Authors:LI Jia-liang
Affiliation:LI Jia-lianga,b(a.Dept.of Physics;b.Jiangsu Laboratory of Advanced Functional Materials, Changshu Institute of Technology,Changshu 215500,China)
Abstract:The one-dimensional spin-XYZ chain with transverse field and uniform long-range interactions among the z components of the spins is studied,using the Jordan-Wigner transformation and the Gaussion transformation.The thermodynamic quantities results for Helmholtz free energy the internal energy the specific heat lity are obtained.The research has also discussed the system first and second-order transitions at a finite temperature.The results agree with numerical results of the XYZ spin chain from the other theory.
Keywords:Heisenberg XYZ chain  Jordan-Wigner transformation  gaussion transformation  long-range interactions
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