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Nonlinear dynamics of a continuum Heisenberg spin chain with an anisotropy and an external magnetic field
Liu, WM; Yang, SL; Pu, FC; Huang, NN
1997-05-01
Source PublicationZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER
ISSN0722-3277
Volume103Issue:1Pages:105-114
AbstractBy stereographically projecting the spin vector onto a complex plane in the equations of motion for a continuum Heisenbeg spin chain with an anisotropy (an easy plane and an easy axis) and an external magnetic field, the effect of the magnetic field for integrability of the system is discussed. Then, introducing an auxiliary parameter, the Lax equations for Darboux matrices are generated recursively. By choosing the constants, the Jest solutions are satisfied the corresponding Lax equations. The exact soliton solutions are investigated, then the total magnetic momentum and its z-component are obtained. These results show that the solitary waves depend essentially on two velocities which describe a spin configuration deviating from a homogeneous magnetization, The depths and widths of solitary waves vary periodically with time. The center of an inhomogeneity moves with a constant velocity, while the shape of soliton also changes with another velocity and this shape is not symmetrical with respect to the center. The total magnetic momentum and its z-component vary with time.
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Condensed Matter
WOS IDWOS:A1997WZ51800017
PublisherSPRINGER
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/13254
Collection中国科学院数学与系统科学研究院
Affiliation1.ACAD SINICA, INST THEORET PHYS, BEIJING 100080, PEOPLES R CHINA
2.ACAD SINICA, INST APPL MATH, BEIJING 100080, PEOPLES R CHINA
3.ACAD SINICA, INST PHYS, BEIJING 100080, PEOPLES R CHINA
4.GUANGZHOU NORMAL COLL, DEPT PHYS, GUANGZHOU 510400, PEOPLES R CHINA
5.WUHAN UNIV, DEPT PHYS, WUHAN 430072, PEOPLES R CHINA
Recommended Citation
GB/T 7714
Liu, WM,Yang, SL,Pu, FC,et al. Nonlinear dynamics of a continuum Heisenberg spin chain with an anisotropy and an external magnetic field[J]. ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER,1997,103(1):105-114.
APA Liu, WM,Yang, SL,Pu, FC,&Huang, NN.(1997).Nonlinear dynamics of a continuum Heisenberg spin chain with an anisotropy and an external magnetic field.ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER,103(1),105-114.
MLA Liu, WM,et al."Nonlinear dynamics of a continuum Heisenberg spin chain with an anisotropy and an external magnetic field".ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER 103.1(1997):105-114.
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