Formation of nonlinear magnetization oscillations by spin waves transmission through the boundary of two uniaxial ferromagnets

Gorobets, Yu. I.; Gorobets, Oksana; Khomenko, T.A.

doi:10.1016/j.cnsns.2010.01.045

Cited by 2 publications

(1 citation statement)

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“…[60][61][62][63][64][65]95,96 The generalized Barnaś-Mills boundary conditions proposed in this paper are not limited to linear spin wave dynamics but could equally be applied to the theory of nonlinear spin waves. 97,98 Moreover, although the discussion above has been limited to the exchange spin waves, the boundary conditions could also be applied in the theory of magnetostatic, dipole-exchange, or even retarded spin waves. 12,13 This would require that the magnetostatic or full Maxwell equations be solved side-by-side with the Landau-Lifshitz equation and appropriate boundary conditions for the magnetic and electric fields be applied at the interface.…”

Section: Discussionmentioning

confidence: 99%

Magnetization boundary conditions at a ferromagnetic interface of finite thickness

Kruglyak

Gorobets

et al. 2014

J. Phys.: Condens. Matter

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We develop a systematic approach by which to derive boundary conditions at an interface between two ferromagnetic materials in the continuous medium approximation. The approach treats the interface as a two-sublattice material, although the final equations connect magnetizations outside of the interface and therefore do not explicitly depend on its structure. Instead, the boundary conditions are defined in terms of some average properties of the interface, which may also have a finite thickness. In addition to the interface anisotropy and symmetric exchange coupling, this approach allows us to take into account coupling resulting from inversion symmetry breaking in the vicinity of the interface, such as the Dzyaloshinskii-Moriya antisymmetric exchange interaction. In the case of negligible interface anisotropy and Dzyaloshinskii-Moriya exchange parameters, the derived boundary conditions represent a generalization of those proposed earlier by Barnaś and Mills and are therefore named "generalized Barnaś-Mills boundary conditions". We demonstrate how one could use the boundary conditions to extract parameters of the interface via fitting of appropriate experimental data. The developed theory could be applied to modeling of both linear and non-linear spin waves, including exchange, dipole-exchange, magnetostatic, and retarded modes, as well as to calculations of nonuniform equilibrium micromagnetic configurations near the interface, with a direct impact on the research in magnonics and micromagnetism. * Corresponding author: V.V.Kruglyak@exeter.ac.uk 2

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