Ferromagnetic multilayers: Statics and dynamics

Schwenk, D.; Fishman, F.; Schwabl, Franz

doi:10.1103/physrevb.38.11618

Cited by 107 publications

(77 citation statements)

References 23 publications

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“…The reasons are the following: Since the antiferromagnetic exchange coupling exists, the quantum fluctuation of a ferrimagnetic superlattice system is strong, and the effect of the exchange interaction on magnons is dominant. Schwenk and coworkers [23,24] calculated the magnon dispersion relation with two ferromagnetic layers in the pure exchange limit, the pure dipolar limit, and both exchange and dipolar interactions based on the Ginzburg-Landau theory. Their results showed that the magnon energy gap derives mainly from the exchange interaction.…”

Section: Introductionmentioning

confidence: 99%

Magnon energy gap and the magnetically structural symmetry in a three‐layer ferrimagnetic superlattice

Qiu¹,

Zhang²,

Guo³

et al. 2006

Physica Status Solidi (b)

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The magnon energy band in a ferrimagnetic superlattice with three layers in a unit cell is studied by employing retarded Green's functions and the spin-wave method. Two modulated energy gaps ∆ 13 ω and ∆ 23 ω are evaluated systematically, which exist in the magnon energy band along the K x -direction perpendicular to the plane of the superlattice. It is revealed that the energy gap ∆ 13 ω has a direct relation with the symmetry among the spin quantum numbers and the interlayer exchange couplings, while the energy gap ∆ 23 ω relates to the symmetry among these spin quantum numbers only. These symmetries differ from the symmetry of crystallographic point groups. We define the magnetically structural symmetry that is dominated mainly by the magnetic parameters. The absence of the energy gap at a certain condition means that the system has a high magnetically structural symmetry. The magnetically structural symmetry of the superlattice, which is an intrinsic property, strongly affects the magnon energy band structure and thus the magnetic behaviors of the system. Furthermore, two complete bandgaps are observed to extend through the Brillouin zone (referred to as "magnonic crystal") in this superlattice system.

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Section: Introductionmentioning

confidence: 99%

Magnon energy gap and the magnetically structural symmetry in a three‐layer ferrimagnetic superlattice

Qiu¹,

Zhang²,

Guo³

et al. 2006

Physica Status Solidi (b)

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“…55 Moreover, results of calculations from Ref. 56 suggest that, even when multilayer interfaces are chemically sharp, finite temperatures result in smoothing of the profiles of the magnetization magnitude and formation of magnetic "transition" layers at interfaces between the basic constituent layers in all-ferromagnetic multilayers. In addition, the itinerant nature of magnetism in transition metals and their alloys and associated spin accumulation phenomena mean that the interaction between two adjacent magnetic materials is not limited to the immediate vicinity of the geometrical (possibly, atomically sharp) interface but penetrates into their bulk regions, 57 with similar sorts of phenomena suggested to take place even at metal-dielectric interfaces.…”

Section: Introductionmentioning

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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“…The effect has been reported for a variety of molecules on ferromagnetic substrates as well as for graphene [Dedkov 2008, Dzemiantsova 2011, Mandal 2014, Marchenko 2015, Weser 2010, Weser 2011, Usachov 2015, also on ferromagnetic substrates. This trend towards an induced polarization in the adlayer may be rationalized in terms of the Stoner criterion [Ma'Mari 2015], and induced polarization from proximity effects is well described by mean field arguments [Dowben 1991, Mathon 1986, Schwenk 1998]. …”

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confidence: 99%