Phonons can carry angular momentum and exhibit chirality through the circular polarization of atomic motion. This enables a phonon-mediated spin Seebeck effect (SSE) via the conversion of phonon angular momentum into electron spin angular momentum. In this Letter, we develop a theoretical framework for calculating the spin current in a normal-metal–chiral-insulator (NM-CI) heterostructure within the nonequilibrium Green's function formalism. We discuss the influence of (i) the thermal bias across the NM-CI interface, (ii) the chemical potential of the NM, and (iii) the modification of the interfacial on-site potential on the spin-transport properties. We identify two characteristic nonlinear spin-transport phenomena: negative differential SSE and spin-current rectification. The negative differential SSE arises from the competition between the thermal bias and the density of thermally excited electrons. Spin-current rectification suggests the possibility of realizing a thermally controlled spin diode. We also find that the spin-transport behavior is closely associated with an effective interfacial spectral density. This work suggests an alternative route toward thermally controlled spintronic devices using chiral phonons.

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• Phonons
• Spin Seebeck effect
• Spin caloritronics
• Spintronics
• Nonequilibrium Green's function