  Spin and valley dependent anomalous Nernst effect are analyzed for monolayer
MoS2 and other group-VI dichalcogenides. We find that pure spin and valley
currents can be generated perpendicular to the applied thermal gradient in the
plane of these two-dimensional materials. This effect provides a versatile
platform for applications of spin caloritronics. A spin current purity factor
is introduced to quantify this effect. When time reversal symmetry is violated,
e.g. two-dimensional materials on an insulating magnetic substrate, a dip-peak
feature appears for the total Nernst coefficient. For the dip state it is found
that carriers with only one spin and from one valley are driven by the
temperature gradient.
