Advertisement

Journal of Low Temperature Physics

, Volume 14, Issue 5–6, pp 459–470 | Cite as

The dynamics of two-dimensional planar magnets

  • A. Ya. Blank
  • V. L. Pokrovskii
  • G. V. Uimin
Article

Abstract

Spin waves in a two-dimensional planar magnet are considered in the temperature range below the transition point. The resonance line determined by the magnetic susceptibility has an unusual shape. The resonance frequency is the branch point of the susceptibility of the order of 2Δ − 1, where Δ is the scaling dimensionality of magnetization. The singularity indicated can be displayed in the line shape of ferromagnetic resonance or in inelastic neutron scattering. The effects of a weak external field, an anisotropy, and an interaction between layers in layered systems are discussed.

Keywords

Anisotropy Magnetic Susceptibility Resonance Frequency Magnetic Material External Field 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    H. E. Stanley and T. A. Kaplan,Phys. Rev. Lett. 17, 913 (1966).Google Scholar
  2. 2.
    V. L. Berezinskii,Zh. Eksperim. i Teor. Fiz. 59, 907 (1970);61, 1144 (1971).Google Scholar
  3. 3.
    L. I. De Jongh, P. Bloembergen, and I. H. Colpa,Physica 58, 305 (1972).Google Scholar
  4. 4.
    P. C. Hohenberg,Phys. Rev. 158, 383 (1967); N. D. Mermin and H. Wagner,Phys. Rev. Lett. 17, 1133 (1966).Google Scholar
  5. 5.
    V. L. Pokrovskii and G. V. Uimin,Zh. Eksperim. i Teor. Fiz. (1973), in press.Google Scholar
  6. 6.
    A. A. Abrikosov, L. P. Gor'kov, and I. E. Dzyaloshinskii,Metoly Kvantovoi Teorii Polya v Statisticheskoi Fizike (Moscow, 1962).Google Scholar
  7. 7.
    V. L. Berezinskii and A. Ya. Blank,Zh. Eksperim. i Teor. Fiz. 64, 223 (1973).Google Scholar
  8. 8.
    H. Bateman,The Higher Transcendental Functions (McGraw-Hill, New York, 1955); G. N. Watson,A Treatise on the Theory of Bessel Functions (1945).Google Scholar

Copyright information

© Plenum Publishing Corporation 1974

Authors and Affiliations

  • A. Ya. Blank
    • 1
  • V. L. Pokrovskii
    • 1
  • G. V. Uimin
    • 1
  1. 1.L. D. Landau Institute for Theoretical PhysicsThe Academy of Sciences USSRMoscowUSSR

Personalised recommendations