Abstract
The statics and field-driven dynamics of transverse domain walls (TDWs) in magnetic nanowires (NWs) have attracted continuous interests because of their theoretical significance and application potential in future magnetic logic and memory devices. Recent results demonstrate that uniform transverse magnetic fields (TMFs) can greatly enhance the wall velocity, meantime leave a twisting in the TDW azimuthal distribution. For application in high-density NW devices, it is preferable to erase the twisting so as to minimize magnetization frustrations. Here we report the realization of a completely planar TDW with arbitrary tilting attitude in a magnetic biaxial NW under a TMF pulse with fixed strength and well-designed orientation profile. We smooth any twisting in the TDW azimuthal plane thus completely decouple the polar and azimuthal degrees of freedom. The analytical differential equation describing the polar angle distribution is derived and the resulting solution is not the Walker-ansatz form. With this TMF pulse comoving, the field-driven dynamics of the planar TDW is investigated with the help of the asymptotic expansion method. It turns out the comoving TMF pulse increases the wall velocity under the same axial driving field. These results will help to design a series of modern magnetic devices based on planar TDWs.
Highlights
A magnetic domain wall (DW) is the intermediate region separating adjacent magnetic domains with different orientations
Skyrmions were observed in helimagnets[5], in which the inversion symmetry is broken, and stabilized by the Dzyaloshinskii-Moriya interaction (DMI)[6,7]
We focus on the case where the transverse magnetic field (TMF) strength is fixed and its orientation is allowed to change freely
Summary
A magnetic domain wall (DW) is the intermediate region separating adjacent magnetic domains with different orientations. For two-dimensional (2D) magnetic films, the even parity of the magnetocrystalline anisotropy generally results in an angular rotation of 180° of the magnetization vector in a DW Among these 180° walls, two types are of great interests: Bloch walls and Néel walls. DWs are soliton solutions of the LLG equation They are characterized by a topological charge index[2] and protected by a finite energy barrier against the trivial single-domain state, can not be continuously deformed to it. Another interesting topological non-trivial entity in 2D magnetic films is the skyrmion, which is a stable topological object with particle-like properties in numerous field theories. We will provide an optimized TMF profile that maintains a planar TDW with arbitrary tilting angle
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