Towards high-frequency negative permeability using magnonic crystals in metamaterial design

Mruczkiewicz, M.; Krawczyk, Maciej; Mikhaylovskiy, R. V.; Kruglyak, V. V.

doi:10.1103/physrevb.86.024425

Cited by 34 publications

(27 citation statements)

References 55 publications

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“…For plasmonics, the characteristic length scales of features are in the millimetre to micrometre range. One important area to be explored is the incorporation of magnetically polarisable elements in a plasmonic array in order to tune different properties such as negative refraction with external applied fields [91,[190][191][192]. Further directions include laser induced switching [193], coupling light to charge and spin currents for information encoding and transfer, optical trapping and manipulation, nanoplasmonics and imaging, to name just a few, with the potential to generate and steer spinwaves in an all optical set-up [194].…”

Section: Discussionmentioning

confidence: 99%

Artificial ferroic systems: novel functionality from structure, interactions and dynamics

Heyderman¹,

Stamps²

2013

J. Phys.: Condens. Matter

216

193

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Lithographic processing and film growth technologies are continuing to advance, so that it is now possible to create patterned ferroic materials consisting of arrays of sub-1 μm elements with high definition. Some of the most fascinating behaviour of these arrays can be realised by exploiting interactions between the individual elements to create new functionality. The properties of these artificial ferroic systems differ strikingly from those of their constituent components, with novel emergent behaviour arising from the collective dynamics of the interacting elements, which are arranged in specific designs and can be activated by applying magnetic or electric fields. We first focus on artificial spin systems consisting of arrays of dipolar-coupled nanomagnets and, in particular, review the field of artificial spin ice, which demonstrates a wide range of fascinating phenomena arising from the frustration inherent in particular arrangements of nanomagnets, including emergent magnetic monopoles, domains of ordered macrospins, and novel avalanche behaviour. We outline how demagnetisation protocols have been employed as an effective thermal anneal in an attempt to reach the ground state, comment on phenomena that arise in thermally activated systems and discuss strategies for selectively generating specific configurations using applied magnetic fields. We then move on from slow field and temperature driven dynamics to high frequency phenomena, discussing spinwave excitations in the context of magnonic crystals constructed from arrays of patterned magnetic elements. At high frequencies, these arrays are studied in terms of potential applications including magnetic logic, linear and non-linear microwave optics, and fast, efficient switching, and we consider the possibility to create tunable magnonic crystals with artificial spin ice. Finally, we discuss how functional ferroic composites can be incorporated to realise magnetoelectric effects. Specifically, we discuss artificial multiferroics (or multiferroic composites), which hold promise for new applications that involve electric field control of magnetism, or electric and magnetic field responsive devices for high frequency integrated circuit design in microwave and terahertz signal processing. We close with comments on how enhanced functionality can be realised through engineering of nanostructures with interacting ferroic components, creating opportunities for novel spin electronic devices that, for example, make use of the transport of magnetic charges, thermally activated elements, and reprogrammable nanomagnet systems.

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Section: Discussionmentioning

confidence: 99%

Artificial ferroic systems: novel functionality from structure, interactions and dynamics

Heyderman¹,

Stamps²

2013

J. Phys.: Condens. Matter

216

193

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“…The results presented in this paper allow us to speculate that if this material in which the magnonic amplitude is concentrated is in addition characterized by a low damping coefficient, then the resonance will be even stronger and the quality factor will be even higher than that obtained in Ref. 37. A rigorous proof of this hypothesis is however beyond the present study.…”

Section: Application Of the Proposed Three-dimensional Magnonic Crmentioning

confidence: 46%

“…37,Mruczkiewicz et al showed that stacks of 2D all-ferromagnetic magnonic crystals could be used to design metamaterials with negative permeability at frequencies of several tenths of GHz. In particular, negative permeability was observed in the vicinity of high-order resonances for which the magnonic mode amplitude was preferentially distributed within one of the two constituent materials.…”

Section: Application Of the Proposed Three-dimensional Magnonic Crmentioning

confidence: 99%

Investigation of spin wave damping in three-dimensional magnonic crystals using the plane wave method

et al. 2012

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The Landau-Lifshitz equation with a scalar damping constant predicts that the damping of spin waves propagating in an infinite homogeneous magnetic medium does not depend on the direction of propagation. This is not the case in materials with a periodic arrangement of magnetic constituents (known as magnonic crystals). In this paper, the plane wave method is extended to include damping in the calculation of the dispersion and relaxation of spin waves in three-dimensional magnonic crystals. A model material system is introduced and calculations are then presented for magnonic crystals realized in the direct and inverted structure and for two different filling fractions. The ability of magnonic crystals to support the propagation of spin waves is characterized in terms of a figure of merit, defined as the ratio of the spin wave frequency to the decay constant. The calculations reveal that in magnonic crystals with a modulated value of the relaxation constant, the figure of merit depends strongly on the frequency and wave vector of the spin waves, with the dependence determined by the spatial distribution of the spin wave amplitude within the unit cell of the magnonic crystal. Bands and directions of exceptionally long spin wave propagation have been identified. The results are also discussed in terms of the use of magnonic crystals as metamaterials with designed magnetic permeability.

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“…Magnetic materials with periodic modulation are called magnonic crystals (MCs) 1,2,3 . Presently, MCs get particular interest due to the possibility of tailoring frequency spectra of SWs at the nanoscale; as a consequence, it is possible to understand magnetization dynamics and: a) to design metamaterial devices 4,5 , b) to transduce and transmit signals 6,7,8 , c) to realize magnonic transistors 9 , d) to make logic operations 10,11,12 .…”

Section: Introductionmentioning

confidence: 99%

Spin-wave dynamics in permalloy/cobalt magnonic crystals in the presence of a nonmagnetic spacer

et al. 2015

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In this paper, we theoretically study the influence of a non-magnetic spacer between ferromagnetic dots and ferromagnetic matrix on the frequency dispersion of the spin wave excitations in twodimensional bi-component magnonic crystals. By means of the dynamical matrix method we investigate structures inhomogeneous across the thickness represented by square arrays of Cobalt or Permalloy dots in a Permalloy matrix. We show that the introduction of a non-magnetic spacer significantly modifies the total internal magnetic field especially at the edges of the grooves and dots. This permits the manipulation of the magnonic band structure of spin waves localized either at the edges of the dots or in matrix material at the edges of grooves. According to the micromagnetic simulations two types of end modes were found. The corresponding frequencies are significantly influenced by the end modes localization region. We also show that, with the use of a single ferromagnetic material, it is possible to design a magnonic crystal preserving properties of bicomponent magnonic crystals and magnonic antidot lattices. Finally, the influence of the nonmagnetic spacers on the technologically relevant parameters like group velocity and magnonic band width are discussed.

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Towards high-frequency negative permeability using magnonic crystals in metamaterial design

Cited by 34 publications

References 55 publications

Artificial ferroic systems: novel functionality from structure, interactions and dynamics

Artificial ferroic systems: novel functionality from structure, interactions and dynamics

Investigation of spin wave damping in three-dimensional magnonic crystals using the plane wave method

Spin-wave dynamics in permalloy/cobalt magnonic crystals in the presence of a nonmagnetic spacer

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