线性磁场下高阶反铁磁链的孤子研究  

Solition in the High-Order Anti-Ferromagnetic Chain under the Influnce of Linear Magnetic Field

作　　者：杨宇萍 陈浩[1] 王瑞强[1] YANG Yuping;CHEN Hao;WANG Ruiqiang(School of Physics and Telecommunication Engineering∥Guangdong Provincial Key Laboratory ofQuantum Engineering and Quantum Materials,South China Normal University,Guangzhou 510006,China)

机构地区：[1]华南师范大学物理与电信工程学院∥广东省量子调控工程与材料重点实验室,广州510006

出　　处：《华南师范大学学报（自然科学版）》2018年第3期8-13,共6页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11474106)

摘　　要：基于一维反铁磁链的双格子模型,采用相干态方法,分析了在线性外磁场作用下,将反铁磁的哈密顿量的准至算符扩展到6次项时对一维反铁磁链的孤子所产生的影响.推导出非线性方程,采用扩展行波法,得到非线性方程的解和孤子的相关特性.结果表明:外磁场的引入会影响孤子的运动状态,改变其能量,而将哈密顿量准至算符扩展到6次项则会对孤子的稳定性、宽度、峰值产生显著的影响.On the basis of the double-subattice model of the one-dimensional anti-ferromagnetic chain,this study uses the coherent state ansatz to analyze the influence of the linear magnetic field on the solition in one-dimensional antiferromagnetic chain when its Hamiltonian boson operator is expanded to six items. A nonlinear equation is derived,and with the travelling wave solution method the analytical solution of the equation as well as the related properties of solition is obtained. The results indicate that the introduction of the linear magnetic field can affect the motion state of the solition and change its energy. Additionally,the expansion of the Hamiltonian boson operator to six items can affect the stability,width and peak of the solition.

关 键 词：一维反铁磁链 孤子 线性磁场 非线性薛定谔方程 行波解法 

分 类 号：O482.5[理学—固体物理] O175.14[理学—物理]