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The optical and Boltzmann conductivities have been calculated for dopedbuckled honeycomb lattice structures such as silicene and germanene, asfunctions of temperature. By making use of previous results for thetemperature-dependent chemical potential for gapped Dirac systems, we havecalculated the dynamical polarization function and investigated the way inwhich initial doping affects its behavior at arbitrary temperature, frequencyand wave number. We have calculated the optical and Boltzmann conductivities inthe relaxation time approximation. Both these quantities are directly relatedto the polarizability, with the former being proportional to itslong-wavelength limit, whereas the latter depends on static screening and thecorresponding dielectric function. We demonstrated that initial dopingsubstantially increases each type of conductivity at intermediate temperaturesand we have introduced a formalism for calculating the inverse relaxation timeand transition rates for the two inequivalent subbands in silicene.

Optical and Boltzmann conductivities for extrinsic buckled honeycomb lattices at finite temperature