On the demagnetizing energy of periodic magnetic distributions

Kaczér, J.; Murtinová, L.

doi:10.1002/pssa.2210230108

Cited by 59 publications

(19 citation statements)

References 3 publications

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“…To describe the demagnetizing field for a periodic slab of finite thickness we used the ideas proposed by Kaczer 40 and then developed in Ref. 41 where each component of (static H dm (r) and dynamic h dm (r, t)) demagnetizing field is depending, in general, on the spatial distribution of all components of magnetization.…”

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confidence: 99%

Effect of magnetization pinning on the spectrum of spin waves in magnonic antidot waveguides

et al. 2012

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We study the spin-wave spectra in magnonic antidot waveguides (MAWs) for two limiting cases (strong and negligible) of the surface anisotropy at the ferromagnet/air interface. The MAWs under investigation have the form of a thin stripe of permalloy with a single row of periodically arranged antidots in the middle. The introduction of a magnetization pinning at the edges of the permalloy stripe and the edges of antidots is found to modify the spin-wave spectrum. This effect is shown to be necessary for magnonic gaps to open in the considered systems. Our study demonstrates that the surface anisotropy can be crucial in the practical applications of MAWs and related structures and in the interpretation of experimental results in one-and two-dimensional magnonic crystals. We used three different numerical methods i.e. plane waves method (PWM), finite difference method and finite element method to validate the results. We showed that PWM in the present formulation assumes pinned magnetization while in micromagnetic simulations special care must be taken to introduce pinning.

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confidence: 99%

Effect of magnetization pinning on the spectrum of spin waves in magnonic antidot waveguides

et al. 2012

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“…Thus, below, in our attempt to describe the general properties of collective edge modes in magnetic dot arrays, we decided to use approximate analytical methods based on the Fourier transform of the mutual demagnetization tensor of individual array's elements 17,33,36,52,53 and an operator form of the linearized Landau-Lifshitz equation 45 . The analytical approach developed by Verba et al 17 calculates the spin wave spectra in spatially infinite periodic arrays of magnetic nanodots using the fundamental tensorF k of the array.…”

Section: Novel Magnonicmentioning

confidence: 99%

“…For example, this happens when the shape and crystalline anisotropies are not present ( e.g. when magnetic elements are spherical and made of an isotropic material 36,57 ) or when the shape and crystalline anisotropies cancel each other.…”

Section: High-order Crystalline Anisotropymentioning

confidence: 99%

Theoretical formalism for collective spin-wave edge excitations in arrays of dipolarly interacting magnetic nanodots

et al. 2016

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A general theory of collective spin wave edge modes in semi-infinite and finite periodic arrays of magnetic nanodots having uniform dynamic magnetization (macrospin approximation) is developed. The theory is formulated using a formalism of multi-vectors of magnetization dynamics, which allows one to study edge modes in arrays having arbitrarily complex primitive cells and lattice structure. The developed formalism can describe spin wave edge modes localized both at the physical edges of the array and at the internal "domain walls" separating the array regions existing in different static magnetization states. Using a perturbation theory, in the framework of the developed formalism it is possible to calculate damping of the edge modes and to describe their excitation by external variable magnetic fields. The theory is illustrated on the following practically important examples: (i) calculation of the FMR absorption in a finite nanodot array having the shape of a right triangle; (ii) calculation of the spectra of nonreciprocal spin wave edge modes, including the modes at the physical edges of an array and modes at the domain walls inside the array; (iii) study of the influence of the domain wall modes on the FMR spectrum of an array existing in a non-ideal chessboard antiferromagnetic ground state.

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“…7 Although the boundary value problem has a general solution, 8,9 several symmetry properties may reduce the general complexity. Among other structures with simplified solutions are homogeneously magnetized cuboids, 10 two-dimensional periodic arrays of homogeneously magnetized rectangular elements, 11 or thin films with periodic quasi-one-dimensional 12 and twodimensional 13 magnetization structures. In this work we show that a strongly polarizable substrate can significantly influence the energetics of magnetic arrays.…”

Section: Introductionmentioning

confidence: 99%

Substrate polarization effects in two-dimensional magnetic arrays

et al. 2012

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The magnetostatic energy of a two-dimensional (2D) periodic array of magnetic particles (or a thin film with periodic magnetization) is evaluated, including additional energy terms due to a polarizable substrate. The polarization of the substrate is solved self-consistently using surface charges. This requires describing the magnetic potential of the 2D array in terms of an equivalent surface charge distribution. Analytic expressions for the magnetostatic self-energy of the 2D array as well as the energy due to the interaction of the magnetic structure and polarizable substrate are presented. It is shown how substrates with large susceptibility significantly alter the stray-field energy and, hence, the magnetic properties of the array, even promoting a spin-reorientation transition. Our results suggest that system properties can be controlled in a simple way by exploiting substrates with tunable polarizability.

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On the demagnetizing energy of periodic magnetic distributions

Cited by 59 publications

References 3 publications

Effect of magnetization pinning on the spectrum of spin waves in magnonic antidot waveguides

Effect of magnetization pinning on the spectrum of spin waves in magnonic antidot waveguides

Theoretical formalism for collective spin-wave edge excitations in arrays of dipolarly interacting magnetic nanodots

Substrate polarization effects in two-dimensional magnetic arrays

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