不变本征算符法计算各向异性Heisenberg反铁磁系统的自旋波能量  

Invariant Eigen-operator Method Calculation in Spin Waves Energy of Anisotropic Heisenberg Anti-ferromagnetism System

作　　者：成泰民[1] 葛崇员[1] 李青云[1] 孙树生[1] 

机构地区：[1]沈阳化工大学数理系,辽宁沈阳110142

出　　处：《沈阳化工大学学报》2011年第2期170-173,共4页Journal of Shenyang University of Chemical Technology

基　　金：国家自然科学基金(10647138);辽宁省教育厅科学研究项目资助(20060667)

摘　　要：利用不变本征算符法(IEO方法)计算X-Y-Z模型-各向异性He isenberg反铁磁系统的自旋波能量,并讨论此系统特殊情形下的自旋波能量及不变本征算符法的优点与不足.结果表明:利用IEO方法计算磁有序系统的自旋波能量非常方便,但是IEO方法不易给出磁有序系统的基态能量;线性近似下的Ham ilton ian量只包含算符的二次项,所以,利用IEO方法及算符的对易关系,能够简捷地计算出线性近似下的Ham ilton ian量体系的元激发能量.The spin wave energy of X-Y-Z model-anisotropic Heisenberg anti-ferromagnetism system was calculated by invariant eigen-operator method（IEO method）,and in this system the spin wave energy under especial qualification and advantages or deficiencies of invariant eigen-operator method was discussed in this paper.And received the following conclusions：it is convenient to use the IEO to calculate the spin waves energy of magnetic ordering system,but this way cannot give the base energy of the magnetic ordering system.Hamiltonian at the linear approximately only included the quadratic term of the operator,so by use of the IEO and the commutation relation of the operator was able to calculate the elementary excitation energy of Hamilton system at the linear approximately.

关 键 词：不变本征算符法 幺正变换 自旋波能量 反铁磁系统 

分 类 号：O482.52[理学—固体物理]