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Conductivities are key material parameters that govern various types oftransport (electronic charge, spin, heat etc.) driven by thermodynamic forces.Magnons, the elementary excitations of the magnetic order, flow under thegradient of a magnon chemical potential in proportion to a magnon (spin)conductivity $\sigma_{m}$. The magnetic insulator yttrium iron garnet (YIG) isthe material of choice for efficient magnon spin transport. Here we report anunexpected giant $\sigma_{m}$ in record-thin YIG films with thicknesses down to3.7 nm when the number of occupied two-dimensional (2D) subbands is reducedfrom a large number to a few, which corresponds to a transition from 3D to 2Dmagnon transport. We extract a 2D spin conductivity ($\approx1$ S) at roomtemperature, comparable to the (electronic) spin conductivity of thehigh-mobility two-dimensional electron gas in GaAs quantum wells at millikelvintemperatures. Such high conductivities offer unique opportunities to developlow-dissipation magnon-based spintronic devices.

Giant magnon spin conductivity approaching the two-dimensional transport regime in ultrathin yttrium iron garnet films