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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
H. E. Stanley and T. A. Kaplan,Phys. Rev. Lett. 17, 913 (1966).
V. L. Berezinskii,Zh. Eksperim. i Teor. Fiz. 59, 907 (1970);61, 1144 (1971).
L. I. De Jongh, P. Bloembergen, and I. H. Colpa,Physica 58, 305 (1972).
P. C. Hohenberg,Phys. Rev. 158, 383 (1967); N. D. Mermin and H. Wagner,Phys. Rev. Lett. 17, 1133 (1966).
V. L. Pokrovskii and G. V. Uimin,Zh. Eksperim. i Teor. Fiz. (1973), in press.
A. A. Abrikosov, L. P. Gor'kov, and I. E. Dzyaloshinskii,Metoly Kvantovoi Teorii Polya v Statisticheskoi Fizike (Moscow, 1962).
V. L. Berezinskii and A. Ya. Blank,Zh. Eksperim. i Teor. Fiz. 64, 223 (1973).
H. Bateman,The Higher Transcendental Functions (McGraw-Hill, New York, 1955); G. N. Watson,A Treatise on the Theory of Bessel Functions (1945).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Blank, A.Y., Pokrovskii, V.L. & Uimin, G.V. The dynamics of two-dimensional planar magnets. J Low Temp Phys 14, 459–470 (1974). https://doi.org/10.1007/BF00658874
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00658874