Effective-medium theory of long-wavelength spin waves in magnetic superlattices

Almeida, Nuno; Mills, D. L.

doi:10.1103/physrevb.38.6698

Cited by 76 publications

(26 citation statements)

References 16 publications

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“…Considering its success in modeling phonon polaritons in semiconductor superlattices, the application of the effectivemedium limit 16,17 of the bulk slab model 18 to magnetic superlattices seemed logical. This approach has been used to model bulk and surface magnetostatic modes and polaritons in antiferromagnet/antiferromagnet and antiferromagnet/ nonmagnetic superlattices both without 4,6 and with an external applied static magnetic field.…”

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confidence: 99%

Continuum model of confined magnon polaritons in superlattices of antiferromagnets

Dumelow

Oliveros

1997

Phys. Rev. B

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We present a theory of polariton modes in superlattices of antiferromagnetic materials. We apply a continuum approach which models magnon confinement using only the bulk properties of the materials. We assume the modes to be completely pinned at the interfaces, so that the pure modes would take the form of simple sine waves. The expression for the superlattice permeability tensor thus obtained is simple to use and requires only the substitution of the appropriate parameters. We expect the approach to model the effects of confinement accurately at low temperatures provided the superlattice layers are not too thin ͑a few lattice periods͒ and the resonances in the constituent layer materials are not very close together. We apply the model to an FeF 2 /MnF 2 superlattice, and calculate oblique incidence reflectivity and attenuated total reflection spectra for the anisotropy axis along three different directions. We find that such spectra show a wealth of detail, and are radically affected by the anisotropy direction and by the polarization of the incident light.

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confidence: 99%

Continuum model of confined magnon polaritons in superlattices of antiferromagnets

Dumelow

Oliveros

1997

Phys. Rev. B

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“…the total thickness of a magnetic layer plus a nonmagnetic layer). In this case, an effective-medium theory can be used to describe the superlattices as the relevant effective mediums [13,14]. In our previous paper [15], nonlinear magnetostatic waves of magnetic superlattices were discussed with an effective-medium theory, and the nonlinear magnetostatic modes were obtained in such a case that the retarded term in the Maxwell equation satisfied by the alternating magnetic field was ignored.…”

Section: Introductionmentioning

confidence: 99%

Dispersion properties of nonlinear bulk polaritons in uniaxial antiferromagnetic/nonmagnetic superlattices

Wang

2004

Journal of Magnetism and Magnetic Materials

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“…3 This EMM is based on previous work on dielectric 4 and magnetic 5,6 heterostructures respectively in the long wavelength electrostatic/magnetostatic limit. Only dipolar coupling was considered between the films.…”

Section: Introductionmentioning

confidence: 99%

Strain-mediated magnetoelectric coupling in magnetostrictive/piezoelectric heterostructures and resulting high-frequency effects

Livesey

2011

Phys. Rev. B

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Magnetoelectric coupling terms are derived in piezoelectric/magnetostrictive (multiferroic) thin film heterostructures using Landau-Ginzburg free energy expansions in terms of three order parameters: strain, magnetization, and electric polarization. Strain is eliminated using a particular set of interface boundary conditions. Then, a general effective medium method is used to calculate the ferromagnetic resonance frequency in a BaTiO 3 /NiFe 2 O 4 superlattice. This method differs from existing methods for treating magnetoelectric heterostructures since the magnetic and electric dipolar fields are not assumed constant but vary from one film to another. The ferromagnetic resonance frequency shift is calculated as a function of applied electric field and is compared to some experimental results.

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Effective-medium theory of long-wavelength spin waves in magnetic superlattices

Cited by 76 publications

References 16 publications

Continuum model of confined magnon polaritons in superlattices of antiferromagnets

Continuum model of confined magnon polaritons in superlattices of antiferromagnets

Dispersion properties of nonlinear bulk polaritons in uniaxial antiferromagnetic/nonmagnetic superlattices

Strain-mediated magnetoelectric coupling in magnetostrictive/piezoelectric heterostructures and resulting high-frequency effects

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