Spin Transport at Interfaces with Spin-Orbit Coupling: Phenomenology

Abstract

This paper presents the boundary conditions needed for drift-diffusion models to treat interfaces with spin-orbit coupling. Using these boundary conditions for heavy metal/ferromagnet bilayers, solutions of the drift-diffusion equations agree with solutions of the spin-dependent Boltzmann equation and allow for a much simpler interpretation of the results. A key feature of these boundary conditions is their ability to capture the role that in-plane electric fields have on the generation of spin currents that flow perpendicularly to the interface. The generation of these spin currents is a direct consequence of the effect of interfacial spin-orbit coupling on interfacial scattering. In heavy metal/ferromagnet bilayers, these spin currents provide an important mechanism for the creation of damping-like and field-like torques; they also lead to possible reinterpretations of experiments in which interfacial contributions to spin torques are thought to be suppressed.

16 pages, 4 figures; abstract revised, introduction extended, references added, results unchanged

References in corpus (7)

• Dissipationless Quantum Spin Current at Room Temperature
• Spin Transfer Torques
• Current induced electron spin polarization in strained semiconductors
• Spin Transport at Interfaces with Spin-Orbit Coupling: Phenomenology
• Spin Transport at Interfaces with Spin-Orbit Coupling: Formalism
• Experimental Demonstration of the Co-existence of the Spin Hall and Rashba Effects in beta-Tantalum/Ferromagnet Bilayers
• Spin-orbit torques in L1${}_0$-FePt/Pt thin films driven by electrical and thermal currents

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