Eur. Phys. J. B 21, 93-102 (2001)
https://doi.org/10.1007/PL00011118

Topological and dynamical excitations in a classical 2D easy-axis Heisenberg model

¹ Physikalisches Institut, Universität Bayreuth, 95440 Bayreuth, Germany
² Departamento de Física, ICE, Universidade Federal de Juiz de Fora, Juiz de Fora, CEP 36036-330, MG, Brazil
³ Departamento de Física, ICEx, Universidade Federal de Minas Gerais, Belo Horizonte, CP 702, CEP 30123-970, MG, Brazil
⁴ Institute for Low Temperature Physics and Engineering, 310164, Kharkov, Ukraine

Corresponding author: ^a meg@aquila.fisica.ufmg.br

Received: 22 August 2000
Published online: 15 May 2001

Abstract

The properties of dynamical solitons (magnon droplets) in the classical, two-dimensional anisotropic Heisenberg model with easy-axis exchange anisotropy are studied. The solution of the Landau-Lifshitz equation in the continuum limit for the soliton with topological charge q=1 is obtained numerically using a shooting method. We analized a wide range of the anisotropy parameter and our results are in good agreement with results obtained from spin dynamics simulations. The dependence of an internal precession frequency of the soliton on both the anisotropy parameter and the radius of the soliton is also investigated. Finally, the limits of applicability of the continuum approach are discussed.