Spin wave spectrum of magnetic nanotubes

González, A.L.; Landeros, P.; Núñez, Álvaro S.

doi:10.1016/j.jmmm.2009.10.010

Cited by 60 publications

(45 citation statements)

References 31 publications

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“…The corresponding dispersion relation reads Ω = 1 + µ 2 + R 2 q 2 . Existence of a gap in spectrum of the cylindrical magnetic shell was already predicted theoretically [28] and checked by numerical simulations [29].…”

Section: D Example: Linear Magnetisation Dynamics For a Cone Shellmentioning

confidence: 78%

Curvature effects in statics and dynamics of low dimensional magnets

Sheka

Kravchuk

Gaididei

2015

J. Phys. A: Math. Theor.

122

162

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Abstract. We develop an approach to treat magnetic energy of a ferromagnet for arbitrary curved wires and shells on the assumption that the anisotropy contribution much exceeds the dipolar and other weak interactions. We show that the curvature induces two effective magnetic interactions: effective magnetic anisotropy and effective Dzyaloshinskii-like interaction. We derive an equation of magnetisation dynamics and propose a general static solution for the limit case of strong anisotropy. To illustrate our approach we consider the magnetisation structure in a ring wire and a cone surface: ground states in both systems essentially depend on the curvature excluding strictly tangential solutions even in the case of strong anisotropy. We derive also the spectrum of spin waves in such systems.

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Section: D Example: Linear Magnetisation Dynamics For a Cone Shellmentioning

confidence: 78%

Curvature effects in statics and dynamics of low dimensional magnets

Sheka

Kravchuk

Gaididei

2015

J. Phys. A: Math. Theor.

122

162

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“…Figure 3(a) shows the result, which agrees with an analytical calculation. 13 The phase velocity (v p ) of the SWs is then extracted from the dispersion, as shown in Fig. 3(b).…”

Section: à11mentioning

confidence: 99%

Fast domain wall dynamics in magnetic nanotubes: Suppression of Walker breakdown and Cherenkov-like spin wave emission

Yan

Andreas

Kákay

et al. 2011

Applied Physics Letters

182

188

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We report on a micromagnetic study on domain wall (DW) propagation in ferromagnetic nanotubes. It is found that DWs in a tubular geometry are much more robust than ones in flat strips. This is explained by topological considerations. Our simulations show that the Walker breakdown of the DW can be completely suppressed. Constant DW velocities above 1000 m/s are achieved by small fields. A different velocity barrier of the DW propagation is encountered, which significantly reduces the DW mobility. This effect occurs as the DW reaches the phase velocity of spin waves (SWs), thereby triggering a Cherenkov-like emission of SWs.

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“…Therefore, in general case, we have to solve the equation (12) with boundary conditions for the magnetization in order to obtain the dispersion relation. However, we can eliminate the orthogonal wavenumber component from (14) after noting that a typical nanotube thickness has the same order as the characteristic exchange interaction length lex. Therefore, we can consider the case when the "free" layer thickness is less than the exchange length and, therefore, neglect the radial dependence of the magnetic potential: k ⊥ = 0.…”

Section: Dispersion Relation and Condition Of Spin Wave Excitationmentioning

confidence: 99%

“…Therefore, we can consider the case when the "free" layer thickness is less than the exchange length and, therefore, neglect the radial dependence of the magnetic potential: k ⊥ = 0. Thus, we can put n = 0 and transform the equation (14) for k ≠ 0 in the following way:…”

Section: Dispersion Relation and Condition Of Spin Wave Excitationmentioning

confidence: 99%

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Spin waves in a ferromagnetic nanotube of an elliptic cross-section in the presence of a spin-polarized current

Gorobets

Kulish

2015

Open Physics

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Abstract:In the paper, spin waves in a ferromagnetic nanotube of an elliptic cross-section in the presence of a spinpolarized electric current are investigated. The linearized Landau-Lifshitz equation in the magnetostatic approximation is used, with the exchange interaction, the dipoledipole magnetic interaction, the anisotropy effects and the dissipation effects taken into account; the influence of the spin-polarized current is considered by the SlonczewskiBerger term. After elimination of the magnetization density perturbation, an equation for the magnetic potential for the above-described spin excitations is obtained. From this equation, a dispersion relation for spin waves in the nanosystem described previously is obtained. Analysis of the dispersion relation shows that the presence of the spinpolarized current can strengthen or weaken the dissipation, creating an "effective dissipation"; the effect is analogous to the "effective dissipation" in a two-layer ferromagnetic film in the presence of a spin-polarized current. Depending on the direction and the density of the current the spin wave can decay faster or slower than in the absence of the current, transform into a self-sustained wave or grow in amplitude, thus leading to a spin wave generation.

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Spin wave spectrum of magnetic nanotubes

Cited by 60 publications

References 31 publications

Curvature effects in statics and dynamics of low dimensional magnets

Curvature effects in statics and dynamics of low dimensional magnets

Fast domain wall dynamics in magnetic nanotubes: Suppression of Walker breakdown and Cherenkov-like spin wave emission

Spin waves in a ferromagnetic nanotube of an elliptic cross-section in the presence of a spin-polarized current

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