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Nonlinear devices, such as transistors, enable contemporary computingtechnologies. We theoretically investigate nonlinear effects, bearing a highfundamental scientific and technical relevance, in magnonics with emphasis onsuperconductor-ferromagnet hybrids. Accounting for finite magnon chemicalpotential, we theoretically demonstrate magnonic spin-Joule heating, the spinanalogue of conventional electronic Joule heating. Besides suggesting a keycontribution to magnonic heat transport in a broad range of devices, itprovides insights into the thermal physics of non-conserved bosonicexcitations. Considering a spin-split superconductor self-consistently, wedemonstrate its interface with a ferromagnetic insulator to harbor largetunability of spin and thermal conductances. We further demonstrate hystereticrectification I-V characteristics in this hybrid, where the hysteresis resultsfrom the superconducting state bistability.

Magnonic spin Joule heating and rectification effects