  We predict that a temperature gradient can induce a magnon-mediated intrinsic
torque and a transverse spin current in systems with non-trivial magnon Berry
curvature. With the help of a microscopic linear response theory of
nonequilibrium magnon-mediated torques and spin currents we identify the
interband and intraband components that manifest in ferromagnets with
Dzyaloshinskii-Moriya interactions and magnetic textures. To illustrate and
assess the importance of such effects, we apply our theory to the
magnon-mediated spin Nernst and torque responses in a kagome lattice
ferromagnet.
