Spin Waves in Thin Films and Magnonic Crystals with Dzyaloshinskii–Moriya Interactions

Gallardo, R. A.; Cortés‐Ortuño, David; Troncoso, Roberto E.; Landeros, P.

doi:10.1201/9780429299155-5

Cited by 12 publications

(16 citation statements)

References 127 publications

(278 reference statements)

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“…The spin-wave dispersion for squared heavy-metal islands is shown in Fig. 2 for nm, and heavy-metal widths nm, while the DMI strength takes values of , 1, 2 and 3 mJ/m , which are in concordance with values measured experimentally 29 , 83 . The standard antisymmetric character of the interfacial DMI can be observed for the Damon-Eshbach configuration.…”

Section: Resultssupporting

confidence: 82%

“…In other words, the magnon population is strongly localized in the active zones with DMI, while there are practically no excitations in the outer regions and the wavefront parallel to the phase velocity is not visible. Such a temporal behavior of the flat bands is consistent with the case of a one-dimensional chiral magnonic crystal, where the dispersionless modes are strongly localized in the zones in contact with heavy metal stripes 28 , 29 . Therefore, a two-dimensional periodic DM coupling can also reach a nontrivial time dependence of the magnetization for the flat bands in the proposed 2D magnonic architecture.…”

Section: Resultssupporting

confidence: 81%

“…The periodic antisymmetric exchange is a key factor in the development of chiral magnonic crystals, which offers prospects to control the band structure of the spin waves 28 , 29 . The presence of the DMI as the physical source of the periodic magnetic field causes two physical effects in one-dimensional MCS.…”

Section: Introductionmentioning

confidence: 99%

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Omnidirectional flat bands in chiral magnonic crystals

Flores-Farías

Gallardo

Brevis

et al. 2022

Sci Rep

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The magnonic band structure of two-dimensional chiral magnonic crystals is theoretically investigated. The proposed metamaterial involves a three-dimensional architecture, where a thin ferromagnetic layer is in contact with a two-dimensional periodic array of heavy-metal square islands. When these two materials are in contact, an anti-symmetric exchange coupling known as the Dzyaloshinskii–Moriya interaction (DMI) arises, which generates nonreciprocal spin waves and chiral magnetic order. The Landau–Lifshitz equation and the plane-wave method are employed to study the dynamic magnetic behavior. A systematic variation of geometric parameters, the DMI constant, and the filling fraction allows the examination of spin-wave propagation features, such as the spatial profiles of the dynamic magnetization, the isofrequency contours, and group velocities. In this study, it is found that omnidirectional flat magnonic bands are induced by a sufficiently strong Dzyaloshinskii–Moriya interaction underneath the heavy-metal islands, where the spin excitations are active. The theoretical results were substantiated by micromagnetic simulations. These findings are relevant for envisioning applications associated with spin-wave-based logic devices, where the nonreciprocity and channeling of the spin waves are of fundamental and practical scientific interest.

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Section: Resultssupporting

confidence: 82%

Section: Resultssupporting

confidence: 81%

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Omnidirectional flat bands in chiral magnonic crystals

Flores-Farías

Gallardo

Brevis

et al. 2022

Sci Rep

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“…The impact of the interfacial DMI | | on all but the surface spin waves decreases with the magnetic film thickness [234,235]. For thin ferromagnetic films in contact with heavy metals typically ∼ 1 mJ∕m 2 (techniques for measuring and its values for different materials have been reviewed in [236]).…”

Section: Chiral Spin Waves By Spin-orbit Interactionmentioning

confidence: 99%

Chirality as Generalized Spin-Orbit Interaction in Spintronics

Chen¹,

Luo²,

Bauer³

2022

Preprint

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Chirality or handedness is a digital relation between three vectors that distinguishes an object from its mirror image, such as the spread fingers of the right and left hand. The chirality of ground state magnetic textures defined by the vectors of magnetization, its gradient, and an electric field from broken inversion symmetry can be fixed by a strong relativistic spin-orbit interaction. This review focuses on the chirality observed in the excited states of the magnetic order, dielectrics, and conductors that hold transverse spins when they are evanescent. Even without any relativistic effect, the transverse spin of the evanescent waves are locked to the momentum and the surface normal of their propagation plane. This chirality thereby acts as a generalized spin-orbit interaction, which leads to the discovery of various chiral interactions between magnetic, phononic, electronic, photonic, and plasmonic excitations in spintronics that mediate the excitation of quasiparticles into a single direction, leading to phenomena such as chiral spin and phonon pumping, chiral spin Seebeck, spin skin, magnonic trap, magnon Doppler, and spin diode effects. Intriguing analogies with electric counterparts in the nano-optics and plasmonics exist. After a brief review of the concepts of chirality that characterize the ground state chiral magnetic textures and chirally coupled magnets in spintronics, we turn to the chiral phenomena of excited states. We present a unified electrodynamic picture for dynamical chirality in spintronics in terms of generalized spin-orbit interaction and compare it with that in nano-optics and plasmonics. Based on the general theory, we subsequently review the theoretical progress and experimental evidence of chiral interaction, as well as the near-field transfer of the transverse spins, between various excitations in magnetic, photonic, electronic and phononic nanostructures at GHz time scales. We provide a perspective for future research before concluding this article.

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“…For future applications, an accurate measurement of its strength is indispensable, so that different methods have been developed to evaluate it, such as the study of the domain walls motion [6][7][8][9] and the detection of spin waves (SW) by Brillouin light scattering (BLS) [10][11][12][13][14][15][16][17]. Several investigations have been published in the last seven years concerning plain films and multilayers [18,19], while there are only a few investigations concerning patterned nanostructures [20][21][22][23][24][25]. In particular, it is important to achieve a detailed understanding of the modifications of the dynamics of isolated magnetic nanoelements, which are usually realized by e-beam lithography and can be exploited in magnetic memories [26].…”

Section: Introductionmentioning

confidence: 99%

Effect of the Interfacial Dzyaloshinskii–Moriya Interaction on the Spin Waves Eigenmodes of Isolated Stripes and Dots Magnetized In-Plane: A Micromagnetic Study

et al. 2021

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The influence of the Dzyaloshinskii–Moriya interaction (DMI) on the eigenmodes of magnetic nanostructures is attracting interest for both fundamental reasons and prospects in applications. In this study, the characteristics of spin waves eigenmodes in either long stripes or elliptical dots magnetized in-plane, with lateral dimensions of the order of 100 nm, are analyzed by micromagnetic simulations in presence of a sizeable DMI. Using the GPU-accelerated software MuMax3, we show that the eigenmodes spectrum is appreciably modified by the DMI-induced non-reciprocity in spin-waves propagation: the frequencies of the eigenmodes are red-shifted and their spatial profiles appreciable altered due to the lack of stationary character in the direction orthogonal to the magnetization direction. As a consequence, one finds a modification of the expected cross-section of the different modes in either ferromagnetic resonance or Brillouin light scattering experiments, enabling one to detect modes that would remain invisible without DMI. In this respect, the modifications of the spectrum can be directly connected to a quantitative estimation of the DMI constant. Moreover, it is seen that for sufficiently large values of the DMI constant, the low-frequency odd eigenmode changes its profile and becomes soft, reflecting the transition of the ground state from uniform to chiral.

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Spin Waves in Thin Films and Magnonic Crystals with Dzyaloshinskii–Moriya Interactions

Cited by 12 publications

References 127 publications

Omnidirectional flat bands in chiral magnonic crystals

Omnidirectional flat bands in chiral magnonic crystals

Chirality as Generalized Spin-Orbit Interaction in Spintronics

Effect of the Interfacial Dzyaloshinskii–Moriya Interaction on the Spin Waves Eigenmodes of Isolated Stripes and Dots Magnetized In-Plane: A Micromagnetic Study

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