Spin Seebeck effect and phonon energy transfer in heterostructures containing layers of a normal metal and a ferromagnetic insulator

Abstract

In the framework of the kinetic approach based on the Boltzmann equation for the phonon distribution function, we analyze phonon heat transfer in a heterostructure containing a layer of a normal metal ($N$) and a layer of a ferromagnetic insulator ($F$). Two realistic methods for creating a temperature gradient in such a heterostructure are considered: by heating of the $N$-layer by an electric current and by placing the $N/F$-bilayer between massive dielectrics with different temperatures. The electron temperature $T_e$ in the $N$-layer and the magnon temperature $T_m$ in the $F$-layer are calculated. The difference in these temperatures determines the voltage $V_{ISHE}$ on the $N$-layer in the Seebeck spin effect regime. The dependence of $V_{ISHE}$ on the bath temperature and on the thickness of the $N$ and $F$ layers is compared with the available experimental data.

References in corpus (8)

• Direct electronic measurement of the spin Hall effect
• Spin Seebeck insulator
• Observation of the Spin-Seebeck Effect in a Ferromagnetic Semiconductor
• Theory of magnon-driven spin Seebeck effect
• Longitudinal Spin Seebeck Effect Free from the Proximity Nernst Effect
• Evolution of the spin Hall effect in Pt nanowires: Size and temperature effects
• Picosecond spin Seebeck effect
• Interfacial Spin and Heat Transfer between Metals and Magnetic Insulators