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We investigate thermoelectric (TE) properties of two-dimensional materialspossessing two Dirac bands (a Dirac band) and a nonlinear band within thethree-(two-)band model using linearized Boltzmann transport theory andrelaxation time approximation. In the three-band model, we find thatcombinations of Dirac bands with a heavy nonlinear band, either a parabolic ora pudding-mold band, does not give much difference in their TE performance. Theapparent difference only occurs in the position of the nonlinear band thatleads to the maximum figure of merit ($ZT$). The optimum $ZT$ of the three-bandmodel consisting of a nonlinear band is found when the nonlinear bandintersects the Dirac bands near the Fermi level. By removing the linearconduction band, or, in other words, transforming the three-band model to thetwo-band model, we find better TE performance in the two-band model than in thethree-band model, i.e., in terms of higher $ZT$ values

Thermoelectrics properties of two-dimensional materials with combination of linear and nonlinear band structures