Abstract
We consider analytically current-driven dynamics of magnetic Néel walls in heavy metal/ferromagnetic metal/oxide trilayers where strong spin–orbit coupling and interfacial Dzyaloshinskii–Moriya interaction (i-DMI) coexist. We show that field-like spin–orbit torque (FL-SOT) with effective field along (n being the interface normal and being the charge current direction) and i-DMI induced torque can both lead to Walker breakdown suppression meanwhile leaving the wall mobility (velocity versus current density) unchanged. However, i-DMI itself can not induce the ‘universal absence of Walker breakdown’ (UAWB) while FL-SOT exceeding a certain threshold can. Finitely-enlarged Walker limits before UAWB are theoretically calculated and well explain existing data. In addition, change in wall mobility and even its sign-inversion can be understood only if the anti-damping-like SOT is appended. For Néel walls in ferromagnetic-metal layer with both perpendicular and in-plane anisotropies, we have calculated the respective modifications of wall mobility under the coexistence of spin-transfer torque, SOTs and i-DMI. Analytics shows that in trilayers with perpendicular anisotropy strong enough spin Hall angle and appropriate sign of i-DMI parameter can lead to sign-inversion in wall mobility even under small enough current density, while in those with in-plane anisotropy this only occurs for current density in a specific range.
Highlights
Pure current-induced domain wall propagation in magnetic nanostructures has attracted intensive attention for decades starting from academic interests in understanding the interplay between itinerant spinful electrons and localized magnetic moments[1, 2, 3, 4]
In this work we focus on domain wall dynamics rather than physical sources of spin-orbit torques (SOTs), TSOT can be written as TSOT = −γHFLm × n × J − γHADLm × m × n × J
We analytically investigate the current-induced domain wall dynamics in HM/FMM/Oxide trilayers with strong spin-orbit coupling (SOC) and interfacial Dzyaloshinskii-Moriya interaction (i-DMI)
Summary
Pure current-induced domain wall propagation in magnetic nanostructures has attracted intensive attention for decades starting from academic interests in understanding the interplay between itinerant spinful electrons and localized magnetic moments[1, 2, 3, 4]. Analytics with Lagrangian functional[68, 69, 70] and simulations[71, 72, 73, 74, 75, 76, 77] based on Landau-Lifshitz-Gilbert (LLG) dynamical equation[78] have been performed to explain Neel wall dynamics in HM/FMM/Oxide trilayers in the framework of one-dimensional collective coordinate model (1D-CCM) All these works focus on two novel features in experiments: (i) Walker breakdown suppression high wall velocity and (ii) wall motion opposed to electron flow and the corresponding “polarity sensitivity”.
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