Current induced torques and interfacial spin-orbit coupling: Semiclassical modeling

By P. Haney, Hyun-Woo Lee, Kyung-Jin Lee, A. Manchon, Mark D. Stiles. 2013

385 citations recorded by the source corpus.

In bilayer nanowires consisting of a ferromagnetic layer and a nonmagnetic layer with strong spin-orbit coupling, currents create torques on the magnetization beyond those found in simple ferromagnetic nanowires. The resulting magnetic dynamics appear to require torques that can be separated into two terms, dampinglike and fieldlike. The dampinglike torque is typically derived from models describing the bulk spin Hall effect and the spin transfer torque, and the fieldlike torque is typically derived from a Rashba model describing interfacial spin-orbit coupling. We derive a model based on the Boltzmann equation that unifies these approaches. We also consider an approximation to the Boltzmann equation, the drift-diffusion model, that qualitatively reproduces the behavior, but quantitatively differs in some regimes. We show that the Boltzmann equation with physically reasonable parameters can match the torques for any particular sample, but in some cases, it fails to describe the experimentally observed thickness dependencies.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/9e7da32fc12f48feca909d73a056642d392c4144

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

Citations in the corpus

Spin transfer torques generated by the anomalous Hall effect and anisotropic magnetoresistance (2014, methodology): “When applied to the spin Hall effect and resulting torques [38], calculations based on the Boltzmann equation qualitatively but not quantitatively agree with those based on the drift-diffusion approach.”
Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems (2018, methodology): “…distinct situations: SHE-induced spin-current is a bulk effect, and up till now only very few publications have addressed the nature of the SHE SOT in ultrathin magnetic multilayers (Amin and Stiles, 2016a,b; Haney et al., 2013b; Kim et al., 2017b; Saidaoui and Manchon, 2016; Wang et al., 2016a).”
Highly Efficient Spin-Current Generation by the Spin Hall Effect in Au1−xPtx (2018, methodology): “75, as indicated by the d dependence of ξDL and that the interfacial spin mixing conductance G⇅ ≈ ReG⇅>> ImG⇅, we can obtain λs and SH following SH = σSH (1-sech(d/λs)) (1+tanh(d/λs)/2λsρxxReG⇅)-1 [17].”
Antiferromagnetic spintronics (2016, background): “The inverse spin galvanic torque is really an intrinsic torque, taking advantage of the nature of the spin-orbit coupling in bulk or at the interface of the magnet (Bernevig and Vafek, 2005; Manchon and Zhang, 2008; Garate and MacDonald, 2009), while spin Hall torque arises from a spin current gener”
Spin Hall Effects in Metals (2013, background): “At the same time, the presence of such Rashba-type spin orbit coupling may already result in current induced spin accumulations [68], which may be difficult to distinguish from spin accumulations due to spin Hall effects [69], [70].”