We theoretically study spin pumping into a spin-nematic state in a junction system composed of a ferromagnetic insulator and a spin-nematic insulator, described by using the spin-1 bilinear-biquadratic model. We analyze the increase of the Gilbert damping in ferromagnetic resonance due to an interfacial exchange coupling within a mean-field theory based on the Schwinger boson method. We find that the two Schwinger bosons contribute in distinct ways to spin pumping. We report a detailed dependence of the spin pumping on a resonant frequency and a magnetic field, along with a comparison to the case of the canted antiferromagnetic insulator. Our findings establish spin pumping as a relevant technique to verify and characterize spin-nematic phases.

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• Exchange interaction
• Nematic order
• Spin pumping
• Spintronics
• Quantum spin models
• Ferromagnetic resonance