汪森, 陈浩, 王瑞强. 具有均匀Dzyaloshinskii-Moriya相互作用的一维反铁磁链的孤子激发[J]. 华南师范大学学报(自然科学版), 2016, 48(3): 82-87. doi: 10.6054/j.jscnun.2016.03.014
引用本文: 汪森, 陈浩, 王瑞强. 具有均匀Dzyaloshinskii-Moriya相互作用的一维反铁磁链的孤子激发[J]. 华南师范大学学报(自然科学版), 2016, 48(3): 82-87. doi: 10.6054/j.jscnun.2016.03.014
WANG Sen, CHEN Hao*, WANG Ruiqiang. Soliton Excitation in An One-Dimentional Antiferromagnetic Chain with Uniform Dzyaloshinskii-Moriya Interaction[J]. Journal of South China Normal University (Natural Science Edition), 2016, 48(3): 82-87. doi: 10.6054/j.jscnun.2016.03.014
Citation: WANG Sen, CHEN Hao*, WANG Ruiqiang. Soliton Excitation in An One-Dimentional Antiferromagnetic Chain with Uniform Dzyaloshinskii-Moriya Interaction[J]. Journal of South China Normal University (Natural Science Edition), 2016, 48(3): 82-87. doi: 10.6054/j.jscnun.2016.03.014

具有均匀Dzyaloshinskii-Moriya相互作用的一维反铁磁链的孤子激发

Soliton Excitation in An One-Dimentional Antiferromagnetic Chain with Uniform Dzyaloshinskii-Moriya Interaction

  • 摘要: 反铁磁体中除了存在常被研究的交错Dzyaloshinskii-Moriya(DM)相互作用外,可能也存在均匀DM相互作用.研究了交换作用各项同性的、具有均匀DM相互作用的一维反铁磁链,采用常用的双子格模型,在DM相互作用的大小〖JB1|〗D〖JB1|〗小于最近邻二格点离子上电子间的交换积分J时,利用Holstain-Primakoff变换、多重尺度方法,得到椭圆函数波解和相应孤子解,并且讨论了DM相互作用对一维反铁磁链的解的影响.研究表明:DM相互作用对孤子宽度、峰值及能量均有着重要影响,且关系复杂,不存在随D的增减而单调增减.

     

    Abstract: In addition to the existence of the staggered Dzyaloshinskii-Moriya (DM) interaction in the antiferromagnetic magnets, there may be a uniform DM interaction. An one-dimensional antiferromagnetic chain with uniform DM interaction is studied. When 〖JB1|〗D〖JB1|〗 (the size of the DM interaction) is less than J (exchange interaction parameter of the nearest neighbor lattice sites), by using double sub-lattice model, Jacobi elliptic function solutions and soliton solutions are obtained through the Holstain-Primakoff transformation and multi-scale method. The influence of DM interaction on Jacobi elliptic function solutions and soliton solutions is discussed.The results show that DM interaction has an important effect on soliton's peak power, width and energy, but the effect is very complex. The increase and decrease of peak power, width and energy are not consistent with that of D.

     

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