Microscopic theory of magnon-drag electron flow in ferromagnetic metals

Abstract

A temperature gradient applied to a ferromagnetic metal induces not only independent flows of electrons and magnons but also drag currents because of their mutual interaction. In this paper, we present a microscopic study of the electron flow induced by the drag due to magnons. The analysis is based on the $s$-$d$ model, which describes conduction electrons and magnons coupled via the $s$-$d$ exchange interaction. Magnetic impurities are introduced in the electron subsystem as a source of spin relaxation. The obtained magnon-drag electron current is proportional to the entropy of magnons and to $\alpha -\beta$ (more precisely, to $1-\beta /\alpha$), where $\alpha$ is the Gilbert damping constant and $\beta$ is the dissipative spin-transfer torque parameter. This result almost coincides with the previous phenomenological result based on the magnonic spin-motive forces, and consists of spin-transfer and momentum-transfer contributions, but with a slight disagreement in the former. The result is interpreted in terms of the nonequilibrium spin chemical potential generated by nonequilibrium magnons.

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• Calculation of magnon drag force induced by an electric current in ferromagnetic metals
• Signature of Electron-magnon Umklapp Scattering in L10 FePt probed by Thermoelectric Measurements
• Boltzmann transport theory of magnon-exciton drag
• Voltage-Controlled Magnonic Spin Tunneling Junction
• Theory of Huge Thermoelectric Effect Based on Magnon Drag Mechanism: Application to Thin-Film Heusler Alloy