Effective spin-mixing conductance of topological-insulator/ferromagnet and heavy-metal/ferromagnet spin-orbit-coupled interfaces: A first-principles Floquet-nonequilibrium Green function approach
Autor: | Branislav K. Nikolić, Utkarsh Bajpai, Kapildeb Dolui |
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Rok vydání: | 2020 |
Předmět: |
Spin pumping
Materials science Condensed Matter - Mesoscale and Nanoscale Physics Physics and Astronomy (miscellaneous) Condensed matter physics Spintronics Magnetoresistance FOS: Physical sciences 02 engineering and technology 021001 nanoscience & nanotechnology 01 natural sciences 3. Good health Magnetization symbols.namesake Topological insulator Mesoscale and Nanoscale Physics (cond-mat.mes-hall) 0103 physical sciences symbols Spin Hall effect Condensed Matter::Strongly Correlated Electrons General Materials Science Scattering theory 010306 general physics 0210 nano-technology Hamiltonian (quantum mechanics) |
Zdroj: | Physical Review Materials. 4 |
ISSN: | 2475-9953 |
Popis: | The spin mixing conductance (SMC) is a key quantity determining efficiency of spin transport across interfaces. Thus, knowledge of its precise value is required for accurate measurement of parameters quantifying numerous effects in spintronics, such as spin-orbit torque, spin Hall magnetoresistance, spin Hall effect and spin pumping. However, the standard expression for SMC, provided by the scattering theory in terms of the reflection probability amplitudes, is inapplicable when strong spin-orbit coupling (SOC) is present directly at the interface. This is the precisely the case of topological-insulator/ferromagnet and heavy-metal/ferromagnet interfaces of great contemporary interest. We introduce an approach where first-principles Hamiltonian of these interfaces, obtained from noncollinear density functional theory (ncDFT) calculations, is combined with charge conserving Floquet-nonequilibrium-Green-function formalism to compute {\em directly} the pumped spin current $I^{S_z}$ into semi-infinite left lead of two-terminal heterostructures Cu/X/Co/Cu or Y/Co/Cu---where X=Bi$_2$Se$_3$ and Y=Pt or W---due to microwave-driven steadily precessing magnetization of the Co layer. This allows us extract an effective SMC as a prefactor in $I^{S_z}$ vs. precession cone angle $\theta$ dependence, as long as it remains the same, $I^{S_z} \propto \sin^2 \theta$, as in the case where SOC is absent. By comparing calculations where SOC in switched off vs. switched on in ncDFT calculations, we find that SOC consistently reduces the pumped spin current and, therefore, the effective SMC. Comment: 5 pages, 3 figures |
Databáze: | OpenAIRE |
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