title: Minimal Model of Spin-Transfer Torque and Spin Pumping Caused by the Spin Hall Effect.
abstract: In the normal-metal-ferromagnetic-insulator bilayer (such as Pt/Y_{3}Fe_{5}O_{12}) and the normal-metal-ferromagnetic-metal-oxide trilayer (such as Pt/Co/AlO_{x}) where spin injection and ejection are achieved by the spin Hall effect in the normal metal, we propose a minimal model based on quantum tunneling of spins to explain the spin-transfer torque and spin pumping caused by the spin Hall effect. The ratio of their dampinglike to fieldlike component depends on the tunneling wave function that is strongly influenced by generic material properties such as interface s-d coupling, insulating gap, and layer thickness, yet the spin relaxation plays a minor role. The quantified result renders our minimal model an inexpensive tool for searching for appropriate materials.
authors.affiliation: Theoretische Physik, ETH-Zürich, CH-8093 Zürich, Switzerland.|Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, D-70569 Stuttgart, Germany.
authors.forename: Wei
authors.initials: W
authors.lastname: Chen
authors.affiliation: Theoretische Physik, ETH-Zürich, CH-8093 Zürich, Switzerland.
authors.forename: Manfred
authors.initials: M
authors.lastname: Sigrist
authors.affiliation: Institut für Physik, Johannes Gutenberg-Universität Mainz, 55128 Mainz, Germany.|Institute of Physics ASCR, Cukrovarnická 10, 162 53 Praha 6, Czech Republic.
authors.forename: Jairo
authors.initials: J
authors.lastname: Sinova
authors.affiliation: Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, D-70569 Stuttgart, Germany.
authors.forename: Dirk
authors.initials: D
authors.lastname: Manske