Magnetoresistance generated from charge-spin conversion by anomalous Hall effect in metallic ferromagnetic/nonmagnetic bilayers

Abstract

A theoretical formulation of magnetoresistance effect in a metallic ferromagnetic/nonmagnetic bilayer originated from the charge-spin conversion by the anomalous Hall effect is presented. Analytical expressions of the longitudinal and transverse resistivities in both nonmagnet and ferromagnet are obtained by solving the spin diffusion equation. The magnetoresistance generated from charge-spin conversion purely caused by the anomalous Hall effect in the ferromagnet is found to be proportional to the square of the spin polarizations in the ferromagnet and has fixed sign. We also find additional magnetoresistances in both nonmagnet and ferromagnet arising from the mixing of the spin Hall and anomalous Hall effects. The sign of this mixing resistance depends on those of the spin Hall angle in the nonmagnet and the spin polarizations of the ferromagnet.

7 pages, 3 figures

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Cited by in corpus (12)

• Anomalous Hall magnetoresistance in a ferromagnet
• Efficient injection and detection of out-of-plane spins via the anomalous spin Hall effect in permalloy nanowires
• Dynamic coupling of ferromagnets via spin Hall magnetoresistance
• Spin anomalous-Hall unidirectional magnetoresistance
• Spin-orbit torque generation in bilayers composed of CoFeB and epitaxial SrIrO${}_3$ grown on an orthorhombic DyScO${}_3$ substrate
• Stacking-order effect on spin-orbit torque, spin-Hall magnetoresistance, and magnetic anisotropy in Ni${}_{81}$Fe${}_{19}$-IrO${}_2$ bilayers
• Absence of Spin Hall Magnetoresistance in Pt/(CoNi)n multilayers
• Spin-current driven spontaneous coupling of ferromagnets
• Magnetoresistance originated from charge-spin conversion in ferromagnet
• Synchronization of spin torque oscillators through spin Hall magnetoresistance
• Coupled dynamics of magnetizations in spin-Hall oscillators via spin current injection
• Spin Hall Magnetoresistance in Metallic Bilayers with In-plane Magnetized Ferromagnets