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Phonon-drag contribution to the spin Seebeck effect

Adachi, Hiroto; Oe, Junichiro*; Takahashi, Saburo; Maekawa, Sadamichi

The spin Seebeck effect, i.e., the generation of the spin voltage by a temperature gradient, is now established as an universal aspect of ferromagnets as it is observed in several ferromagnetic materials ranging from metallic ferromagnet Ni$$_{81}$$Fe$$_{19}$$ and semiconducting ferromagnet GaMnAs to an insulating magnet LaY$$_{2}$$Fe$$_{5}$$O$$_{12}$$. Recent theoretical and experimental efforts have clarified that the phonon degrees of freedom is of crucial importance in the spin Seebeck effect. Here we theoretically discuss the phonon-drag contribution to the spin Seebeck effect; the spin Seebeck effect is enormously enhanced by nonequilibrium phonons that drag the low-lying spin excitations. This scenario predicts that the spin Seebeck signal at low temperature tracks the phonon-dominated thermal conductivity of the system, and the predicted behaviour has been confirmed by the recent experiments for yttrium iron garnet and for GaMnAs.

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