  We propose a novel current-induced thermoelectric phenomenon, the nonlinear
anomalous Ettingshausen effect (AEE), at zero magnetic field in
inversion-asymmetric conductors. As an example, we discuss the weak charge
ordering state in a layered organic conductor alpha-(BEDT-TTF)2I3, which is a
two-dimensional massive Dirac fermion system with a pair of tilted Dirac cones.
The nonlinear AEE is a thermoelectric analogue of the nonlinear anomalous Hall
effect, which is recently observed in alpha-(BEDT-TTF)2I3, and these two
effects generally appear simultaneously. The nonlinear AEE generates a
transverse heat current, which exhibits rectifying characteristics, namely
unidirectionality even under an AC current.
