Nonlocal Anomalous Hall Effect

Abstract

The anomalous Hall effect is deemed to be a unique transport property of ferromagnetic metals, caused by the concerted action of spin polarization and spin-orbit coupling. Nevertheless, recent experiments have shown that the effect also occurs in a nonmagnetic metal (Pt) in contact with a magnetic insulator (yttrium iron garnet (YIG)), even when precautions are taken to ensure there is no induced magnetization in the metal. We propose a theory of this effect based on the combined action of spin-dependent scattering from the magnetic interface and the spin Hall effect in the bulk of the metal. At variance with previous theories, we predict the effect to be of first order in the spin-orbit coupling, just as the conventional anomalous Hall effect -- the only difference being the spatial separation of the spin orbit interaction and the magnetization. For this reason we name this effect \textit{nonlocal anomalous Hall effect} and predict that its sign will be determined by the sign of the spin Hall angle in the metal. The AH conductivity that we calculate from our theory is in good agreement with the measured values in Pt/YIG structures.

7 pages, 4 figures

References in corpus (5)

• Theory of spin Hall magnetoresistance
• Transport equations for a two-dimensional electron gas with spin-orbit interaction
• Anomalous Hall effect in YIG$|$Pt bilayers
• Magnetoresistance of heavy and light metal/ferromagnet bilayers
• Intrinsic magnetoresistance in metal films on ferromagnetic insulators

Cited by in corpus (12)

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• Competing effects at Pt/YIG interfaces: spin Hall magnetoresistance, magnon excitations and magnetic frustration
• Topological Hall Effect in a Topological Insulator Interfaced with a Magnetic Insulator
• Spin-to-charge conversion in magnetic Weyl semimetals
• Observation of Vector Spin Seebeck Effect in a Noncollinear Antiferromagnet
• Detection of induced paramagnetic moments in Pt on Y${}_3$Fe${}_5$O${}_{12}$ via x-ray magnetic circular dichroism
• Anomalous Hall-like transverse magnetoresistance in Au thin films on Y${}_3$Fe${}_5$O${}_{12}$
• Theory of bilinear magneto-electric resistance from topological-insulator surface states
• Insights into spin and charge currents crossing ferromagnetic/nonmagnetic interfaces induced by spin and anomalous Hall effect
• Chiral surface and edge plasmons in ferromagnetic conductors
• Magnetoresistive detection of perpendicular switching in a magnetic insulator
• Evidence for spin swapping from modulation of transverse resistance in magnetic heterostructures with Rashba interface