Green's function formalism for spin transport in metal-insulator-metal heterostructures

Abstract

We develop a Green's function formalism for spin transport through heterostructures that contain metallic leads and insulating ferromagnets. While this formalism in principle allows for the inclusion of various magnonic interactions, we focus on Gilbert damping. As an application, we consider ballistic spin transport by exchange magnons in a metal-insulator-metal heterostructure with and without disorder. For the former case, we show that the interplay between disorder and Gilbert damping leads to spin current fluctuations. For the case without disorder, we obtain the dependence of the transmitted spin current on the thickness of the ferromagnet. Moreover, we show that the results of the Green's function formalism agree in the clean and continuum limit with those obtained from the linearized stochastic Landau-Lifshitz-Gilbert equation. The developed Green's function formalism is a natural starting point for numerical studies of magnon transport in heterostructures that contain normal metals and magnetic insulators.

arXiv comment13 pages, 8 figures

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Cited by in corpus (18)

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• Long-Range Phonon Spin Transport in Ferromagnet-Nonmagnetic Insulator Heterostructures
• Magnon-driven chiral charge and spin pumping and electron-magnon scattering from time-dependent quantum transport combined with atomistic spin dynamics theory
• Quantum many-body states and Green functions of nonequilibrium electron-magnon systems: Localized spin operators vs. their mapping to Holstein-Primakoff bosons
• Spin transport in an electrically-driven magnon gas near Bose-Einstein condensation: Hartree-Fock-Keldysh theory
• Giant dynamical electron-magnon coupling in metal-metal-ferromagnetic insulator heterostructure
• Ellipticity and Dissipation Effects in Magnon Spin Valves
• Green's function formalism for nonlocal elliptical magnon transport
• Magnon spin Hall magnetoresistance of a gapped quantum paramagnet
• Theory of topological spin Josephson junctions
• Non-local magnon transport in a magnetic domain wall wave guide
• Hannay Angles in Magnetic Dynamics
• Many-body theory of spin-current driven instabilities in magnetic insulators
• Spin-accumulation induced magnetic texture in a metal-insulator bilayer
• Spin transfer torques and spin-dependent transport in a metallic F/AF/N tunneling junction
• Electrical detection of unconventional transverse spin-currents in obliquely magnetized thin films
• Ellipticity effects on diffusive magnon spin and heat transport in easy-plane ferromagnets
• Squeezing and quantum control of antiferromagnetic magnon pseudospin