Theoretical condition for switching the magnetization in a perpendicularly magnetized ferromagnet via the spin Hall effect

Abstract

A theoretical formula is derived for the threshold current to switch a perpendicular magnetization in a ferromagnet by the spin Hall effect. The numerical simulation of the Landau-Lifshitz-Gilbert equation indicates that magnetization switching is achieved when the steady-state solution of the magnetization in the presence of the current is outside an energetically unstable region. Based on the numerical result, an analytical theory deriving the threshold current is developed by focusing on the first-order perturbation to the unstable state. The analytical formula clarifies that the magnitude of the magnetic field applied to the current direction should be larger than 15\% of the perpendicular magnetic anisotropy field, and the current is less than the derived threshold value.

arXiv comment8 pages, 5 figures

References in corpus (12)

• Spin Hall effect
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Cited by in corpus (6)

• Current-induced magnetization switching of exchange-biased NiO heterostructures characterized by spin-orbit torque
• Dependency of high-speed write properties on external magnetic field in spin-orbit torque in-plane magnetoresistance devices
• Switching induced by spin Hall effect in an in-plane magnetized ferromagnet with the easy axis parallel to the current
• Intrinsic back-switching phenomenon in SOT-MRAM devices
• Reduction of back switching by large damping ferromagnetic material
• Initialization-Free Multistate Memristor: Synergy of Spin-Orbit Torque and Magnetic Fields