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On the basis of the Schwinger-Keldysh formalism, we have closely investigatedthe temperature dependence of quantum spin pumping by electron spin resonance.We have clarified that three-magnon splittings excite non-zero modes of magnonsand characterize the temperature dependence of quantum spin pumping. Ourtheoretical result qualitatively agrees with the experiment by Czeschka et al.that the mixing conductance is little influenced by temperature [F. D. Czeschkaet al., Phys. Rev. Lett., 107, 046601 (2011)].

The temperature dependence of quantum spin pumping generated using electron spin resonance with three-magnon splittings