Paul M. Haney

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

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.

Changing Exchange Bias in Spin Valves with an Electric Current

An electrical current can transfer spin angular momentum to a ferromagnet. This novel physical phenomenon, called spin transfer, offers unprecedented spatial and temporal control over the magnetic state of a ferromagnet and has tremendous potential in a broad range of technologies, including magnetic memory and recording. Recently, it has been predicted that spin transfer is not limited to ferromagnets, but can also occur in antiferromagnetic materials and even be stronger under some conditions. In this paper we demonstrate transfer of spin angular momentum across an interface between ferromagnetic and antiferromagnetic metals. The spin transfer is mediated by an electrical current of high density (~10^12 A/m^2) and revealed by variation in the exchange bias at the ferromagnet/antiferromagnet interface. We find that, depending on the polarity of the electrical current flowing across the interface, the strength of the exchange bias can either increase or decrease. This finding is explained by the theoretical prediction that a spin polarized current generates a torque on magnetic moments in the antiferromagnet. Current-mediated variation of exchange bias can be used to control the magnetic state of spin-valve devices, e.g., in magnetic memory applications.

Origin of Nanoscale Variations in Photoresponse of an Organic Solar Cell

Photogenerated charge transport in bulk heterojunction (BHJ) solar cells is strongly dependent on the active layer nanomorphology resulting from phase segregation. Here, we systematically study the nanoscale photocurrent response from BHJs based on poly(3-hexylthiophene) and phenyl-C61-butyric acid methyl ester (P3HT-PCBM) with a photoconductive atomic force microscope (PCAFM). The photocurrent is either collected directly by the tip or through nanopatterned metal contacts. The photoresponse measured at the top surface shows significant inhomogeneity on the length scale of 100-500 nm with large low-efficiency regions, consistent with existence of a P3HT-rich skin layer of approximately 10 nm thick. The measurements with the nanocontacts validate the PCAFM results and demonstrate that the inhomogeneity averages to the conventional device result. Additionally, we use an ultralow angle microtomy (ULAM) technique to slice the active layer and create wedges along these cuts for probing of nanomorphology in the bulk. AFM images show a striking contrast between the top surface and the ULAM exposed material, revealing much finer features related to phase segregation below the skin layer and sub-100 nm length scales for charge transport.

Antiferromagnetic domain wall motion driven by spin-orbit torques

We theoretically investigate the dynamics of antiferromagnetic domain walls driven by spin-orbit torques in antiferromagnet-heavy-metal bilayers. We show that spin-orbit torques drive antiferromagnetic domain walls much faster than ferromagnetic domain walls. As the domain wall velocity approaches the maximum spin-wave group velocity, the domain wall undergoes Lorentz contraction and emits spin waves in the terahertz frequency range. The interplay between spin-orbit torques and the relativistic dynamics of antiferromagnetic domain walls leads to the efficient manipulation of antiferromagnetic spin textures and paves the way for the generation of high frequency signals from antiferromagnets.

Current-induced torques in magnetic metals: beyond spin transfer

Current-induced torques (CITs) on ferromagnetic (FM) nanoparticles and on domain walls in FM nanowires are normally understood in terms of transfer of conserved spin angular momentum between spin-polarized currents and the magnetic condensate. In a series of recent articles, we have discussed a microscopic picture of CITs in which they are viewed as following from exchange fields produced by the misaligned spins of current carrying quasiparticles. This picture has the advantage that it can be applied to systems in which spin is not approximately conserved. More importantly, this point of view makes it clear that CITs can also act on the order parameter of an antiferromagnetic (AFM) metal, even though this quantity is not related to total spin. In this informal and intentionally provocative review we explain this picture and discuss its application to antiferromagnets.

Current-induced torques due to compensated antiferromagnets.

We analyze the influence of current-induced torques on the magnetization configuration of a ferromagnet in a circuit containing a compensated antiferromagnet. We argue that these torques are generically nonzero and determine their form by considering spin-dependent scattering at a compensated antiferromagnetic interface. Because of symmetry dictated differences in the form of the current-induced torque, the phase diagram which expresses the dependence of the ferromagnetic configuration on the current and external magnetic field differs qualitatively from its ferromagnet-only counterpart.

Angular dependence of spin-orbit spin transfer torques

In ferromagnet/heavy metal bilayers, an in-plane current gives rise to spin-orbit spin transfer torque which is usually decomposed into field-like and damping-like torques. For two-dimensional free-electron and tight-binding models with Rashba spin-orbit coupling, the field-like torque acquires nontrivial dependence on the magnetization direction when the Rashba spin-orbit coupling becomes comparable to the exchange interaction. This nontrivial angular dependence of the field-like torque is related to the Fermi surface distortion, determined by the ratio of the Rashba spin-orbit coupling to the exchange interaction. On the other hand, the damping-like torque acquires nontrivial angular dependence when the Rashba spin-orbit coupling is comparable to or stronger than the exchange interaction. It is related to the combined effects of the Fermi surface distortion and the Fermi sea contribution. The angular dependence is consistent with experimental observations and can be important to understand magnetization dynamics induced by spin-orbit spin transfer torques

Ab initio giant magnetoresistance and current-induced torques in Cr/Au/Cr multilayers

We report on an ab-initio study of giant magnetoresistance (GMR) and current-induced-torques (CITs) in Cr/Au multilayers that is based on non-equilibrium Green’s functions and spin density functional theory. We find substantial GMR due primarily to a spin-dependent resonance centered at the Cr/Au interface and predict that the CITs are strong enough to switch the antiferromagnetic order parameter at current-densities � 100 times smaller than typical ferromagnetic metal circuit switching densities. Magnetic metals are often well described using the effective mean-field description provided by the KohnSham equations of spin-density functional theory. In this description, the Kohn-Sham quasiparticles experience exchange-correlation potentials with a spin dependence that is comparable in strength to band widths and other characteristic electronic energy scales. The spindependent part of the Kohn-Sham quasiparticle potential acts like an effective magnetic field that is locally aligned with the electron spin-density. Because of these strong spin-dependent potentials, the resistance of a ferromagnetic metal circuit will change substantially when the magnetization orientation in any part of the circuit is altered, an effect known as giant magnetoresistance (GMR). Conversely, transport currents can destabalize magnetization configurations that are metastable in the absence of a current and change collective magnetization dynamics. In the case of circuits containing ferromagnetic elements the influence of transport currents on the magnetization can be understood as following from the conservation of total spin angular momentum; the torques that reorient quasiparticle spins as they traverse a non-collinear magnetic circuit are accompanied by current-induced reaction torques (CITs) that act on the magnetic condensate. This type of phenomenon is not by any means limited to magnetic systems. For example, there have been recent studies of the interaction between transport and charge density waves (CDW), which find that the CDW order parameter configuration influences transport and conversely that transport can alter the CDW. 5

Current-induced order parameter dynamics: Microscopic theory applied to Co ∕ Cu ∕ Co spin valves

Transport currents can alter alter order parameter dynamics and change steady states in superconductors, in ferromagnets, and in hybrid systems. In this article we present a scheme for fully microscopic evaluation of order parameter dynamics that is intended for application to nanoscale systems. The approach relies on time-dependent mean-field-theory, on an adiabatic approximation, and on the use of non-equilibrium Greens function (NEGF) theory to calculate the influence of a bias voltage across a system on its steady-state density matrix. We apply this scheme to examine the spin-transfer torques which drive magnetization dynamics in Co/Cu/Co spin-valve structures. Our microscopic torques are peaked near Co/Cu interfaces, in agreement with most previous pictures, but suprisingly act mainly on Co transition metal d-orbitals rather than on s-orbitals as generally supposed.

Current-induced torques in the presence of spin-orbit coupling.

In systems with strong spin-orbit coupling, the relationship between spin transfer torque and the divergence of the spin current is generalized to a relation between spin transfer torques, total angular momentum current, and mechanical torques. In ferromagnetic semiconductors, where the spin-orbit coupling is large, these considerations modify the behavior of the spin transfer torques. One example is a persistent spin transfer torque in a spin valve: the spin transfer torque does not decay away from the interface but approaches a constant value. A second example is a mechanical torque at a single ferromagnetic-nonmagnetic interface.