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自旋1/2的二维反铁磁Heisenberg模型的格林函数理论
引用本文:仲崇贵,赵永林,施建珍. 自旋1/2的二维反铁磁Heisenberg模型的格林函数理论[J]. 南通大学学报(自然科学版), 2006, 5(4): 9-11
作者姓名:仲崇贵  赵永林  施建珍
作者单位:南通大学,理学院,江苏,南通,226007;南通大学,理学院,江苏,南通,226007;南通大学,理学院,江苏,南通,226007
基金项目:江苏省高校自然科学基金
摘    要:采用双时格林函数理论讨论了二维反铁磁Heisenberg模型的热力学性质.将自旋算符的关联函数在Tyab-likov近似下进行退耦,得到关联函数的自洽方程,从而研究了相变温度下自旋交错磁化的激发情况,求出了系统的平均能量,并将基态的情况与对应的数值模拟结果进行了比较.

关 键 词:海森堡模型  双时格林函数  交错磁化  关联
文章编号:1673-2340(2006)04-0009-03
收稿时间:2006-03-22
修稿时间:2006-03-22

Green's Function Theory of the Two-dimensional Antiferromagnetic Heisenberg Model with Spin
ZHONG Chong-gui,ZHAO Yong-lin,SHI Jian-zhen. Green's Function Theory of the Two-dimensional Antiferromagnetic Heisenberg Model with Spin[J]. Journal of Nantong University (Natural Science Edition), 2006, 5(4): 9-11
Authors:ZHONG Chong-gui  ZHAO Yong-lin  SHI Jian-zhen
Abstract:The thermodynamic properties of the two dimensional antiferromagnetic Heisenberg model are studied in the framework of two-time Green's function theory.With the Tyablibov approximation,the Green's function is decoupled in terms of the correlation functions of spin operators,from which a set of self-consistent equations of the correlation functions are derived.And then,temperature dependence of the magnetization,average energy of the system,and correlation between the nextest neighbors are obtained.
Keywords:Heisenberg model  Green's function method  Magnetization  Correlation
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