  The thermoelectric transport coefficients are calculated in a generic lattice
model of multi-Weyl semimetals with a broken time-reversal symmetry by using
the Kubo's linear response theory. The contributions connected with the Berry
curvature-induced electromagnetic orbital and heat magnetizations are
systematically taken into account. It is shown that the thermoelectric
transport is profoundly affected by the nontrivial topology of multi-Weyl
semimetals. In particular, the calculation reveals a number of thermal
coefficients of the topological origin which describe the anomalous Nernst and
thermal Hall effects in the absence of background magnetic fields. Similarly to
the anomalous Hall effect, all anomalous thermoelectric coefficients are
proportional to the integer topological charge of the Weyl nodes. The
dependence of the thermoelectric coefficients on the chemical potential and
temperature is also studied.
