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(d+1)维Heisenberg超薄膜的解析研究
Study of variational-cumulant expansion of the quantum Heisenberg hyperfilm
【摘要】 采用变分累积展开法研究了超立方格点上任意自旋的量子Heisenberg薄膜的临界点 .从自由能的解析性质出发 ,原则上能计算作为多层膜层数l函数的临界约化温度θ(n) (l)到任意累积展开级次n.给出了θ(n)(l)的前三级解析表达式和数值结果 ,并对结果作了分析和讨论 .
【Abstract】 The quantum Heisenberg hyperfilm is studied by the variational\|cumulant expansion method. From the analytic properties of free energy, the critical reduced temperature θ\-c(l) can in principle be calculated to any order cumulant expansion as a function of the number l of hyperlayers in hyperfilm. Explicit expressions for θ\-c(l) up to the third order are giren for various lattices and spins. The numberical results are given and discussed.
【关键词】 Heisenberg超薄膜;
变分累积展开法;
临界温度;
自由能;
【Key words】 Heisenberg hyperfilm; variational\|cumulant expansion method; critical temperature; free energy;
【Key words】 Heisenberg hyperfilm; variational\|cumulant expansion method; critical temperature; free energy;
【基金】 教育部重点科学技术项目!( 9910 8)
- 【文献出处】 西南师范大学学报(自然科学版) ,JOURNALOF SOUTHWEST CHINA NORMAL UNIVERSITY(NATURAL SCIENCE) , 编辑部邮箱 ,2000年04期
- 【分类号】O484
- 【下载频次】14