Abstract
We study the influence of the elastic degrees of freedom of a one-dimensional spin-chain with ferromagnetic Heisenberg coupling in situations, where the magnetic dynamics can be described by a Sine-Gordon model. Compatibility of the Sine-Gordon approach with spin-lattice coupling is shown, and CsNiF3 and domain wall motion are discussed as concrete physical realizations. As a consequence of the spin-lattice interaction a soliton-phonon coupling arises, which destroys the formal Lorentz invariance of the Sine-Gordon system. The influence of this coupling on the soliton dynamics is investigated. It results in a dynamic damping of the soliton motion, which in general is not of viscous type. Moreover, the influences of the soliton-phonon coupling on the phonon dispersion are estimated and possible experimental consequences are discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Mikeska, H.J.: J. Phys. C11, L 29 (1978)
Mikeska, H.J.: J. Phys. C13, 2913 (1980)
Leung, K.M., Hone, D.W., Mills, D.L., Riseborough, P.S., Trullinger, S.E.: Phys. Rev. B21, 4017 (1980)
Enz, U.: Helv. Phys. Acta37, 245 (1964)
Rubinstein, J.: J. Math. Phys.11, 258 (1970)
Theodorakopoulos, N.: “Ordering in Strongly-Fluctuating Condensed Matter Systems”. Riste, T. (ed.). Nato Advanced Studies Institutes Series, Vol. 50, p. 145. New York, London: Plenum Press 1980
Paul, D.I.: J. Phys. C12, 585 (1979)
Curne, J.F., Trullinger, S.E., Bishop, A.R., Krumhansl, J.A.: Phys. Rev. B15, 5567 (1977)
Theodorakopoulos, N., Wünderlich, W., Klein, R.: Sol. State Commun.33, 213 (1980)
Barma, M.: Phys. Rev. B12, 2710 (1975)
Cieplak, M., Turski, L.A.: J. Phys. C13, L 777 (1980)
Long, K.A., Bishop, A.R.: J. Phys. A12, 1325 (1979)
Walker, L.R.: unpublished work (1956), quoted by Dillon, J.F. Jr.; In: Magnetism III. Rado, G.T., Suhl, H. (eds.), p. 450. New York, London: Academic Press 1963
Akhiezer, I.A., Borovik, A.E.: Sov. Phys. JETP25, 885 (1967)
Bishop, A.R., Lewis, W.F.: J. Phys. C12, 3811 (1979)
Kjems, J.K., Steiner, M.: Phys. Rev. Lett.41, 1137 (1978)
de Lecuw, F.H.: Physica86–88 B, 1320 (1977)
Eilenberger, G.: Z. Phys. B—Condensed Matter27, 199 (1973)
Fernandez, J.C., Gambaudo, J.M., Gauthier, S., Reinisch, G.: Phys. Rev. Lett.46, 753 (1981)
Author information
Authors and Affiliations
Additional information
Project of the Sonderforschungsbereich 65 „Festkörperspektroskopie” Darmstadt-Frankfurt financed by special funds of the Deutsche Forschungsgemeinschaft
Rights and permissions
About this article
Cite this article
Schöbinger, M., Jelitto, R.J. Dynamic damping in magnetic Sine-Gordon systems. Z. Physik B - Condensed Matter 43, 199–207 (1981). https://doi.org/10.1007/BF01297519
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01297519