Accurate analysis for harmonic Hall voltage measurement for spin-orbit torques

Abstract

An accurate method is developed to extract the spin-orbit effective fields through analysis of the results of harmonic Hall voltage measurements by deriving detailed analytical equations, in which both the z-component of the applied magnetic field and the second-order perpendicular magnetic anisotropy are taken into account. The method is tested by analyzing the results of a macrospin simulation. The spin-orbit effective fields extracted from the analysis are found to be in excellent agreement with the input spin-orbit effective fields used for the macrospin simulation over the entire range of the polar magnetization angle and a wide range (0-2) of the ratio of the planar to the anomalous Hall voltage considered in this study. The accuracy of the proposed method is demonstrated more clearly via a systematic study involving a comparison of its results with those of the conventional analytical method.

arXiv commentSupplementary Information accompanies the paper on the NPG Asia Materials website (https://www.nature.com/articles/am2017200)

References in corpus (17)

• Spin Hall effect
• Symmetry and magnitude of spin-orbit torques in ferromagnetic heterostructures
• Theory of Current-Driven Domain Wall Motion: A Poorman's Approach
• Layer thickness dependence of the current induced effective field vector in Ta|CoFeB|MgO
• Quantitative characterization of the spin orbit torque using harmonic Hall voltage measurements
• Current induced torques and interfacial spin-orbit coupling: Semiclassical Modeling
• Interplay of spin-orbit torque and thermoelectric effects in ferromagnet/normal metal bilayers
• Giant Planar Hall Effect in Epitaxial (Ga,Mn)As Devices
• Spin-orbit torque engineering via oxygen manipulation
• Diffusive spin dynamics in ferromagnetic thin films with a Rashba interaction
• Angular and temperature dependence of current induced spin-orbit effective fields in Ta/CoFeB/MgO nanowires
• Magnetization dynamics induced by in-plane currents in ultrathin magnetic nanostructures
• Enhancement of Perpendicular Magnetic Anisotropy and Transmission of Spin-Hall-Effect-Induced Spin Currents by a Hf Spacer Layer in W/Hf/CoFeB/MgO Layer
• Quantum Kinetic Theory of Current-Induced Torques in Rashba Ferromagnets
• Current-induced torques in textured Rashba ferromagnets
• Angular dependence of spin-orbit spin transfer torques
• Control of current-induced spin-orbit effects in a ferromagnetic heterostructure by electric field

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