Curvature Effects in Thin Magnetic Shells

Gaididei, Yuri; Kravchuk, Volodymyr P.; Sheka, Denis D.

doi:10.1103/physrevlett.112.257203

Cited by 193 publications

(222 citation statements)

References 39 publications

(41 reference statements)

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“…Previous studies of magnetic nanostructures with largescale smoothly varying curvature have shown that the magnetization prefers to stay in a plane tangential to the surface [7,[16][17][18][19][20][21]. This general principle applies when the surface variations occur on a scale larger than the film thickness (inverse surface curvature is larger than thickness).…”

mentioning

confidence: 92%

Engineering Curvature-Induced Anisotropy in Thin Ferromagnetic Films

et al. 2017

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We investigate the effect of large curvature and dipolar energy in thin ferromagnetic films with periodically modulated top and bottom surfaces on magnetization behavior. We predict that the dipolar interaction and surface curvature can produce perpendicular anisotropy which can be controlled by engineering special types of periodic surface structures. Similar effects can be achieved by a significant surface roughness in the film. We demonstrate that, in general, the anisotropy can point in an arbitrary direction depending on the surface curvature. Furthermore, we provide simple examples of these periodic surface structures to show how to engineer particular anisotropies in thin films.

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confidence: 92%

Engineering Curvature-Induced Anisotropy in Thin Ferromagnetic Films

et al. 2017

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“…With the above expressions we implemented a MAPLE code to find, for each injection energy, ϕ(0) and ϕ(L) and, consequently, the transmittance and the reflectance as specified by Eqs. (17) and (18), respectively. In order to input the energy in meV and distances in nm we use a mixed units system where the electron mass is m e = 5.68 × 10 −27 meV.s 2 /nm 2 and Planck's constant is = 6.58 × 10 −13 meV.s .…”

Section: Methodsmentioning

confidence: 99%

“…The da Costa approach has been applied to a wide range of two-dimensional systems, like rolledup nanotubes [16], thin magnetic shells [17] or spin transport on curved systems [18]. In particular, the approach has been much used to study carbon-based systems like nanotubes and other curved forms of graphene [19].…”

Section: Quantum Particle In a Curved Surface With Azimuthal Symmetrymentioning

confidence: 99%

Geometric effects in the electronic transport of deformed nanotubes

et al. 2016

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Abstract. Quasi-two-dimensional systems may exibit curvature, which adds three-dimensional influence to their internal properties. As shown by da Costa [1], charged particles moving on a curved surface experience a curvature-dependent potential which greatly influence their dynamics. In this paper, we study the electronic ballistic transport in deformed nanotubes. The one-electron Schrödinger equation with open boundary conditions is solved numerically with a flexible MAPLE code made available as Supplementary Data. We find that the curvature of the deformations have indeed strong effects on the electron dynamics suggesting its use in the design of nanotube-based electronic devices.

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“…As an example, the side surface of a truncated cone is considered [30][31][32]; the minimum radius is R and the length of the generatrix is l, shown in Fig. 1.…”

Section: A Truncated Conementioning

confidence: 99%

Geometric influences of a particle confined to a curved surface embedded in three-dimensional Euclidean space

2017

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In the spirit of the thin-layer quantization approach, we give the formula of the geometric influences of a particle confined to a curved surface embedded in three-dimensional Euclidean space. The geometric contributions can result from the reduced commutation relation between the acted function depending on normal variable and the normal derivative. According to the formula, we obtain the geometric potential, geometric momentum, geometric orbital angular momentum, geometric linear Rashba and cubic Dresselhaus spin-orbit couplings. As an example, a truncated cone surface is considered. We find that the geometric orbital angular momentum can provide an azimuthal polarization for spin, and the sign of the geometric Dresselhaus spin-orbit coupling can be flipped through the inclination angle of generatrix.

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Curvature Effects in Thin Magnetic Shells

Cited by 193 publications

References 39 publications

Engineering Curvature-Induced Anisotropy in Thin Ferromagnetic Films

Engineering Curvature-Induced Anisotropy in Thin Ferromagnetic Films

Geometric effects in the electronic transport of deformed nanotubes

Geometric influences of a particle confined to a curved surface embedded in three-dimensional Euclidean space

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