Amplitudes for magnon scattering by vortices in two-dimensional weakly easy-plane ferromagnets

Denis D. Sheka, Ivan A. Yastremsky, Boris A. Ivanov, Gary M. Wysin, and Franz G. Mertens
Phys. Rev. B 69, 054429 – Published 27 February 2004
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Abstract

We study magnon modes in the presence of a vortex in a circular easy-plane ferromagnet. The problem of vortex-magnon scattering is investigated for partial modes with different values of the azimuthal quantum number m over a wide range of wave numbers. The analysis was done by combining analytical and numerical calculations in the continuum limit with numerical diagonalization of adequately large discrete systems. The general laws governing vortex-magnon interactions are established. We give simple physical explanations of the scattering results: the splitting of doublets for the modes with opposite signs of m, which takes place for the long-wavelength limit, is an analog of the Zeeman splitting in the effective magnetic field of the vortex. A singular behavior for the scattering amplitude σmk takes place as k diverges; it corresponds to the generalized Levinson theorem and can be explained by the singular behavior of the effective magnetic field at the origin.

  • Received 27 September 2003

DOI:https://doi.org/10.1103/PhysRevB.69.054429

©2004 American Physical Society

Authors & Affiliations

Denis D. Sheka* and Ivan A. Yastremsky

  • National Taras Shevchenko University of Kiev, 03127 Kiev, Ukraine

Boris A. Ivanov

  • Institute of Magnetism, NASU, 03142 Kiev, Ukraine

Gary M. Wysin

  • Department of Physics, Kansas State University, Manhattan, Kansas 66506–2601

Franz G. Mertens

  • Physikalisches Institut, Universität Bayreuth, D-95440 Bayreuth, Germany

  • *Electronic address: Denis_Sheka@univ.kiev.ua URL: http://users.univ.kiev.ua/∼Denis_Sheka

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Issue

Vol. 69, Iss. 5 — 1 February 2004

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