三维各向异性铁磁系统的自旋波谱及基态能量  

Spin Wave Spectrum and Ground State Energy of Three-dimensional-anisotropic Ferromagnetic System

作　　者：成泰民[1] 葛崇员[1] 祁烁[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》2012年第2期174-177,共4页Journal of Shenyang University of Chemical Technology

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

摘　　要：利用D-M变换和点阵傅立叶变换、宇称变换、压缩变换等幺正变换对三维各向异性XYZ-Heisenberg铁磁系统的Hamiltonian进行对角化,得到系统的自旋波谱(磁振子谱)及基态能量.体系对角化的Hamiltonian及自旋波谱、基态能量的解析解是计算体系配分函数的重要前提,并由体系的配分函数可进一步求出与体系的热力学性质和磁学性质相关的物理量的解析解.同时对特殊情况下的结论进行讨论.In this paper, the Hamiltonian of three-dimensional-anisotropic XYZ-Heisenberg ferromag- netic system was diagonalized by using D-M transformation and unitary transformation such as the Fourier transformation of lattice, the parity transformation and the squeezed transformation. The spin wave spec- trum and ground state energy of the system were obtained. The diagonalized Hamiltonian of the system and the analytical solution of spin wave spectrum and ground state energy are important prerequisite to calculate partition function. Furthermore the analytical solution of physical quantities which are related to the thermodynamics properties and magnetic properties in the system were derived according to the parti- tion function of the system. Conclusion in special cases was also discussed.

关 键 词：XYZ-Heisenberg铁磁系统 自旋波谱 宇称变换 压缩变换 幺正变换 

分 类 号：O482.5[理学—固体物理]