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

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