2016
DOI: 10.1103/physrevb.94.104420
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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 f… Show more

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Cited by 226 publications
(158 citation statements)
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“…In conclusion, we theoretically and numerically investigate the switching current for SOT switching of perpendicular magnetization in ferromagnetic trilayers. We confirm that the spinz component of spin polarization, originating from either the anomalous Hall effect 27,28 or the interfacial spin-orbit coupling effect 23,[29][30][31] , enables the deterministic switching at a low current.…”
Section: Discussionsupporting
confidence: 60%
“…In conclusion, we theoretically and numerically investigate the switching current for SOT switching of perpendicular magnetization in ferromagnetic trilayers. We confirm that the spinz component of spin polarization, originating from either the anomalous Hall effect 27,28 or the interfacial spin-orbit coupling effect 23,[29][30][31] , enables the deterministic switching at a low current.…”
Section: Discussionsupporting
confidence: 60%
“…A difference is that for torques due to interfacial spin-orbit coupling, the field-like contribution is expected to be larger than the damping-like contribution. In semiclassical calculations [Haney et al, 2013a; Amin and Stiles, 2016a, 2016b], the interfacial spin-orbit interaction acting on the spins passing through, rather than existing in, the two-dimensional interface creates a spin polarization that couples to the magnetization through exchange interaction at the interface. Such calculations allow the torques due to the spin Hall effect and those related to the Edelstein effect to be treated simultaneously.…”
Section: Spin Transport At and Through Interfacesmentioning
confidence: 99%
“…(29) is by noticing that the combination V µ ∂ µ is the ordinary hydrodynamical derivative entering the Boltzmann equation, By taking the Keldysh component of (29) and separating time and space components we get…”
Section: The Su(2) Approach For Intrinsic Socmentioning
confidence: 99%
“…In semiconducting structures the reciprocal ISGE/EE is measured via optical detection of the current-induced spin polarization [20][21][22][23][24][25]. The ISGE/EE is also measured by analyzing the torques exercised, via exchange coupling, by the non-equilibrium polarization on the magnetization of an adjacent ferromagnetic system [26][27][28][29][30][31][32]. Recently this has been extended also to antiferromagnets [33].…”
Section: Introductionmentioning
confidence: 99%