Semianalytical approach to calculating the dynamic modes of magnetic vortices with Dzyaloshinskii-Moriya interactions

Flores, Carla Quispe; Chalifour, Casey; Davidson, Jonathon C.; Livesey, Karen L.; Buchanan, Kristen

doi:10.1103/physrevb.102.024439

Cited by 11 publications

(3 citation statements)

References 26 publications

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“…Here, we focus on the novel effects arising when d is in the plane, either along x (perpendicular to B 0 ) or along z (parallel to B 0 ). We note that, for a disk structure, Flores et al [33] recently predicted that the presence of DMIs with an axial vector in the plane would cause the static magnetization to tilt out of the plane. Although the theoretical model here is different in several respects, including having a variable in-plane magnetic field B 0 to switch between vortex and onion states, we anticipated that tilting of the magnetization at the lateral edges in the nanoring might also occur.…”

Section: Methodsmentioning

confidence: 66%

“…As in paper I, we studied effects as the applied magnetic field was varied (including the switching between the vortex and onion states), so there were actually two in-plane situations that could now arise in general depending on whether the DMI axial vector was parallel to the in-plane applied field or perpendicular to that field. In related work, we note that Flores et al [33] recently considered a vortex state in a large circular disk with an in-plane axial vector for the DMIs. In a macroscopic continuum model and in the absence of any applied magnetic field, they showed that the static magnetization vector was tilted out of the plane near the vortex core due to DMI effects.…”

Section: Introductionmentioning

confidence: 99%

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Spin Waves in Ferromagnetic Nanorings with Interfacial Dzyaloshinskii–Moriya Interactions: II. Directional Effects

Hussain,

Cottam

2024

Nanomaterials

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A theory is presented to study the effect of interfacial Dzyaloshinskii–Moriya interactions (DMIs) on the static and dynamic magnetic properties in single-layered ferromagnetic nanorings. A microscopic (Hamiltonian-based) approach is used that also includes the antisymmetric DMI besides the competing symmetric (bilinear) exchange interactions, magnetic dipole–dipole interactions, and an applied magnetic field. Here, the axial vector of the DMI is taken to be in the plane of the nanoring (by contrast with earlier studies) and we explore cases where it is either parallel or perpendicular to the in-plane magnetic field. Significantly, with this orientation for the DMI axial vector, the inhomogeneous static magnetization is tilted to have a component perpendicular to the plane giving a surface texture. This effect is studied in both the low-field vortex and high-field onion states. There is a consequent modification to the discrete set of spin-wave modes in both states through their frequencies and spatial amplitudes. We present combined analytical and numerical results for the static properties and dynamical magnetization in ferromagnetic nanorings, including the variation with applied field.

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Section: Methodsmentioning

confidence: 66%

Section: Introductionmentioning

confidence: 99%

Spin Waves in Ferromagnetic Nanorings with Interfacial Dzyaloshinskii–Moriya Interactions: II. Directional Effects

Hussain,

Cottam

2024

Nanomaterials

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“…Some examples are finite-length nanowire stripes and flat (quasi-two-dimensional) nanorings or nanodisks with finite outer radius. Some spin-wave calculations for the latter structures with DMI were reported recently [19,20], where the predicted effects indicated a tilting of the spatially inhomogeneous magnetization out of the plane of the structure in some cases (depending on the direction of the DMI axial vector) and to modifications for the magnetization dynamics due to DMI. Here our focus is on the dipole-exchange spin waves in finite-length nanowire structures, with the DMI (including end effects) taken into account.…”

Section: Introductionmentioning

confidence: 89%

Effects of an external magnetic field on spin waves in finite-length ferromagnetic nanotubes

Hussain

Cottam

2021

Journal of Magnetism and Magnetic Materials

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Breaking Space Inversion‐Symmetry to Obtain Asymmetric Spin‐Wave Excitation in Systems with Nonuniform Magnetic Exchange

Macêdo

Kudinoor

Livesey

et al. 2021

Adv Elect Materials

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The consequences of non‐uniform exchange in magnetic systems are reported. The quantum mechanical exchange interaction between spins is responsible for the phenomenon of magnetic order, and is generally considered to be uniform across bulk magnetic systems. Partly inspired by the Dzyaloshinskii‐Moriya interaction—also known as antisymmetric exchange—a linearly varying exchange interaction is used along a magnetic strip as a route to spatial inversion symmetry‐breaking. It is found that, in addition to asymmetric modes and localization, spatially varying exchange can be used to design nonreciprocal magnetic signal excitation at frequencies that are tunable. Moreover, the authors’ work predicts nonreciprocity to occur across a vast range of frequencies up to hundreds of GHz. Such spin wave engineering is a key area of ongoing research in the fields of magnonics and spintronics, which are expected to enable the next generation of wireless communication technology and information processing. Analogous nonreciprocity is expected to occur in other wave systems with gradient properties.

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Semianalytical approach to calculating the dynamic modes of magnetic vortices with Dzyaloshinskii-Moriya interactions

Cited by 11 publications

References 26 publications

Spin Waves in Ferromagnetic Nanorings with Interfacial Dzyaloshinskii–Moriya Interactions: II. Directional Effects

Spin Waves in Ferromagnetic Nanorings with Interfacial Dzyaloshinskii–Moriya Interactions: II. Directional Effects

Effects of an external magnetic field on spin waves in finite-length ferromagnetic nanotubes

Breaking Space Inversion‐Symmetry to Obtain Asymmetric Spin‐Wave Excitation in Systems with Nonuniform Magnetic Exchange

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