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We theoretically investigate spin transfer between a system ofquasiequilibrated Bose-Einstein condensed magnons in an insulator in directcontact with a conductor. While charge transfer is prohibited across theinterface, spin transport arises from the exchange coupling between insulatorand conductor spins. In normal insulator phase, spin transport is governedsolely by the presence of thermal and spin-diffusive gradients; the presence ofBose-Einstein condensation (BEC), meanwhile, gives rise to atemperature-independent condensate spin current. Depending on the thermodynamicbias of the system, spin may flow in either direction across the interface,engendering the possibility of a dynamical phase transition of magnons. Wediscuss experimental feasibility of observing a BEC steady state (fomented by aspin Seebeck effect), which is contrasted to the more familiar spin-transferinduced classical instabilities.

Electronic Pumping of Quasiequilibrium Bose-Einstein Condensed Magnons