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Nonlinear dynamics of a continuum Heisenberg spin chain with an anisotropy and an external magnetic field

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Zeitschrift für Physik B Condensed Matter

Abstract

By stereographically projecting the spin vector onto a complex plane in the equations of motion for a continuum Heisenberg 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 Jost 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.

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Authors and Affiliations

  1. China Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing, 100080, People’s Republic of China

    Wu-Ming Liu

  2. Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing, 100080, People’s Republic of China

    Wu-Ming Liu

  3. Institute of Applied Mathematics, Academia Sinica, P.O. Box 2734, Beijing, 100080, People’s Republic of China

    Shu-Li Yang

  4. Institute of Physics, Academia Sinica, P.O. Box 603-99, Beijing, 100080, People’s Republic of China

    Fu-Cho Pu

  5. Department of Physics, Guangzhou Normal College, Guangzhou, 510400, People’s Republic of China

    Fu-Cho Pu

  6. Department of Physics, Wuhan University, Wuhan, 430072, People’s Republic of China

    Nian-Ning Huang

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  1. Wu-Ming Liu
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  2. Shu-Li Yang
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Correspondence to Wu-Ming Liu.

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Liu, WM., Yang, SL., Pu, FC. et al. Nonlinear dynamics of a continuum Heisenberg spin chain with an anisotropy and an external magnetic field. Z. Phys. B - Condensed Matter 103, 105–114 (1997). https://doi.org/10.1007/s002570050342

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  • DOI: https://doi.org/10.1007/s002570050342

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