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Two-Dimensional Classical Attractors in the Spin Phase Space of the S = 1 Easy-Axis Heisenberg Ferromagnet

  • V. G. Makhankov
  • A. V. Makhankov
  • A. T. Maksudov
  • Kh. Kh. Muminov
Conference paper
Part of the Research Reports in Physics book series (RESREPORTS)

Abstract

The equations are derived which describe dynamics of small amplitude spin waves in the S=l easy-axis Heisenberg model. To proceed from quantum to quasiclassical description the generalized coherent states (CS) corresponding to the space CP2 =SU (3) /SU (2) ⊗U (1) are constructed and used as a trial functions. We find that classical vacuum states of the model lie in the SU (2) section of the total four-dimensional spin phase space. The latter is just a sphere, classical spins take their value on so spin dynamics is described by the well-known Landau-Lifshitz equation. It turns out, however, that nonlinear soliton-type solutions are captured in this cross-section too. Computer simulations also show that stationary solutions of the system is stable and lie in the SU (2) section. So the SU (2) cross- section in spin phase space can be considered as a two- dimensional classical attractor in this space.

Keywords

Coherent State Trial Function Heisenberg Model Nonlinear Schrodinger Equation Exchange Anisotropy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • V. G. Makhankov
    • 1
  • A. V. Makhankov
    • 1
  • A. T. Maksudov
    • 2
  • Kh. Kh. Muminov
    • 3
  1. 1.Joint Institute for Nuclear Research, DubnaMoscowUSSR
  2. 2.Leninabad Pedagogical InstituteLeninabadUSSR
  3. 3.Tajik State UniversityDushanbeUSSR

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