Electronic thermal Hall effect in silicene

We theoretically investigate the electronic thermal Hall effect in silicene via a discrete four-band model. Based on the linear response theory, a formalism to address the transverse thermal conductivity is developed. In the absence of an exchange field, the transverse thermal conductivity vanishes due to the time-reversal symmetry. The transverse conductivity becomes finite in the presence of an exchange field and exhibits several peaks with opposite signs. The peak values increase as the field becomes strong. However, as the temperature becomes high, the peak values begin to decay. The results may be helpful in exploring spin caloritronics based on silicene.