Curvature and torsion effects in spin-current driven domain wall motion

Yershov, Kostiantyn V.; Kravchuk, Volodymyr P.; Sheka, Denis D.; Gaididei, Yuri

doi:10.1103/physrevb.93.094418

Cited by 53 publications

(48 citation statements)

References 41 publications

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“…It is worth noting that there is a dependence of λ on θ and ϕ, coming from the fact that the demagnetizing field of a curved wire depends on the direction in which the magnetization field is pointing to [26]. However, because of the considered dimensions, this difference is small, and we will adopt λ = 1/4 to describe magnetostatic contributions to the energy [8,17,20]. In terms of the adopted parametrization, the exchange energy density is given by [17,27] …”

Section: Theoretical Modelmentioning

confidence: 99%

“…It was also shown that the spin-current driven DW motion is strongly dependent on curvature and torsion [20]. In this case, the curvature results in the existence of a Walker limit for uniaxial wire, and the torsion induces an effective shift of the nonadiabatic spin torque parameter [20]. The direction of motion of a DW along a helical wire under the action of a Rashba spin orbit torque depends on the helix chirality and wall charge in such way that DWs can be moved only under the action of Rashba and geometrical effects [21].…”

Section: Introductionmentioning

confidence: 99%

“…Recently, the effects of the curvature on a magnetic helicoid ribbon as well as on a Möbius ribbon have been analyzed [19]. It was also shown that the spin-current driven DW motion is strongly dependent on curvature and torsion [20]. In this case, the curvature results in the existence of a Walker limit for uniaxial wire, and the torsion induces an effective shift of the nonadiabatic spin torque parameter [20].…”

Section: Introductionmentioning

confidence: 99%

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Oscillatory behavior of the domain wall dynamics in a curved cylindrical magnetic nanowire

et al. 2017

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Understanding the domain wall dynamics is an important issue in modern magnetism. Here we present results of domain wall displacement in curved cylindrical nanowires at a constant magnetic field. We show that the average velocity of a transverse domain wall increases with curvature. Contrary to what it is observed in stripes, in a curved wire the transverse domain wall oscillates along and rotates around the nanowire with the same frequency. These results open the possibility of new oscillation-based applications.

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Section: Theoretical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Oscillatory behavior of the domain wall dynamics in a curved cylindrical magnetic nanowire

et al. 2017

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“…We refer to these as vortex states. Unlike the case of the helicoid ribbon, φ ≡ ±π/2 is not a solution of (23). Numerically, we find two further solutions of the Euler-Lagrange equation, denoted φ rib + (χ) and φ rib − (χ) ≡ φ rib + (χ) + π, which we call ribbon states.…”

Section: (A) (B)mentioning

confidence: 96%

“…field-like torques [18] and anti-damping torques [23]. In the particular case of a helical nanowire, torsion can produce negative domain wall mobility [18,23], while curvature can produce a shift in the Walker breakdown [23].…”

Section: Introductionmentioning

confidence: 99%

Magnetization in narrow ribbons: curvature effects

Gaididei¹,

Goussev²,

Kravchuk³

et al. 2017

J. Phys. A: Math. Theor.

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Abstract.A ribbon is a surface swept out by a line segment turning as it moves along a central curve. For narrow magnetic ribbons, for which the length of the line segment is much less than the length of the curve, the anisotropy induced by the magnetostatic interaction is biaxial, with hard axis normal to the ribbon and easy axis along the central curve. The micromagnetic energy of a narrow ribbon reduces to that of a one-dimensional ferromagnetic wire, but with curvature, torsion and local anisotropy modified by the rate of turning. These general results are applied to two examples, namely a helicoid ribbon, for which the central curve is a straight line, and a Möbius ribbon, for which the central curve is a circle about which the line segment executes a 180 • twist. In both examples, for large positive tangential anisotropy, the ground state magnetization lies tangent to the central curve. As the tangential anisotropy is decreased, the ground state magnetization undergoes a transition, acquiring an in-surface component perpendicular to the central curve. For the helicoid ribbon, the transition occurs at vanishing anisotropy, below which the ground state is uniformly perpendicular to the central curve. The transition for the Möbius ribbon is more subtle; it occurs at a positive critical value of the anisotropy, below which the ground state is nonuniform. For the helicoid ribbon, the dispersion law for spin wave excitations about the tangential state is found to exhibit an asymmetry determined by the geometric and magnetic chiralities.

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New Dimension in Magnetism and Superconductivity: 3D and Curvilinear Nanoarchitectures

et al. 2021

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condensed matter physics, including cell membranes, [1] nematic crystals, [2,3] superfluids, [4] semiconductors, [5][6][7][8] ferromagnets, [9] and superconductors. [10,11] Currently, much attention is paid to strongly correlated electronic systems, for example, ferromagnets and superconductors, as they provide a unique tool to manipulate the topology of coexisting vector and scalar fields, associated with geometries of conventional systems.Until recently, in the case of magnetism, the influence of the geometry on the spin vector fields was addressed primarily by the design of the sample boundaries. This approach naturally brings the shape anisotropy to the system and leads to the formation of specific spin textures, for example, magnetic vortices [12] and antivortices [13] as well as provides control over the dynamics of the topologically nontrivial magnetic solitons. [14][15][16][17][18] This discussion also tackles the state of the art in modern experimental antiferromagnetism, where the design of the sample topography and boundaries allows to control the domain wall states. [19][20][21][22] With the development of novel fabrication techniques allowing to realize complex 3D architectures, not only the boundary effects but also the extrinsic geometrical properties (e.g., local curvatures) can be addressed rigorously for the case of ferromagnets [23][24][25][26][27] as well as superconductors. [28][29][30] The explored effects are directly related to the interplay between the Traditionally, the primary field, where curvature has been at the heart of research, is the theory of general relativity. In recent studies, however, the impact of curvilinear geometry enters various disciplines, ranging from solid-state physics over soft-matter physics, chemistry, and biology to mathematics, giving rise to a plethora of emerging domains such as curvilinear nematics, curvilinear studies of cell biology, curvilinear semiconductors, superfluidity, optics, 2D van der Waals materials, plasmonics, magnetism, and superconductivity. Here, the state of the art is summarized and prospects for future research in curvilinear solid-state systems exhibiting such fundamental cooperative phenomena as ferromagnetism, antiferromagnetism, and superconductivity are outlined. Highlighting the recent developments and current challenges in theory, fabrication, and characterization of curvilinear micro-and nanostructures, special attention is paid to perspective research directions entailing new physics and to their strong application potential. Overall, the perspective is aimed at crossing the boundaries between the magnetism and superconductivity communities and drawing attention to the conceptual aspects of how extension of structures into the third dimension and curvilinear geometry can modify existing and aid launching novel functionalities. In addition, the perspective should stimulate the development and dissemination of research and development oriented techniques to facilitate rapid transitions from laboratory demonstrations to industry-...

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Curvature and torsion effects in spin-current driven domain wall motion

Cited by 53 publications

References 41 publications

Oscillatory behavior of the domain wall dynamics in a curved cylindrical magnetic nanowire

Oscillatory behavior of the domain wall dynamics in a curved cylindrical magnetic nanowire

Magnetization in narrow ribbons: curvature effects

New Dimension in Magnetism and Superconductivity: 3D and Curvilinear Nanoarchitectures

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