6533b7d9fe1ef96bd126cc6a

RESEARCH PRODUCT

Spin accumulation from nonequilibrium first principles methods

Martin GradhandAlexander FabianMichael CzernerMing-hung WuHugo RossignolChristian Heiliger

subject

PhysicsCondensed Matter - Materials ScienceCondensed matter physicsSpinsMaterials Science (cond-mat.mtrl-sci)FOS: Physical sciencesNon-equilibrium thermodynamicsSemiclassical physicscond-mat.mtrl-sciKeldysh formalismCondensed Matter - Other Condensed Mattercond-mat.otherSpin Hall effectDensity functional theoryTensorOther Condensed Matter (cond-mat.other)Spin-½

description

For the technologically relevant spin Hall effect, most theoretical approaches rely on the evaluation of the spin-conductivity tensor. In contrast, for most experimental configurations the generation of spin accumulation at interfaces and surfaces is the relevant quantity. Here, we directly calculate the accumulation of spins due to the spin Hall effect at the surface of a thin metallic layer, making quantitative predictions for different materials. Two distinct limits are considered, both relying on a fully relativistic Korringa-Kohn-Rostoker density functional theory method. In the semiclassical approach, we use the Boltzmann transport formalism and compare it directly with a fully quantum mechanical nonequilibrium Keldysh formalism. Restricting the calculations to the spin-Hall-induced, odd-in-spatial-inversion, contribution in the limit of the relaxation time approximation, we find good agreement between the two methods, where deviations can be attributed to the complexity of Fermi surfaces. Finally, we compare our results with experimental values of the spin accumulation at surfaces as well as the Hall angle and find good agreement for the trend across the considered elements.

https://doi.org/10.1103/physrevb.104.054402