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The lattice thermal conductivity ($\kappa_{\rm L}$) of PbTiO$_3$ (PTO) isestimated using a combination of {\em ab initio} calculations and semiclassicalBoltzmann transport equation. The computed $\kappa_{\rm L}$ is remarkably low,nearly comparable with the $\kappa_{\rm L}$ of good thermoelectric materialssuch as PbTe. In addition, a semiclassical analysis of the electronic transportquantities is presented, which suggests excellent thermoelectric properties,with a figure of merit $zT$ well over 1 for a wide range of temperature. Forthermoelectric applications, the $\kappa_{\rm L}$ could be further reduced byutilizing different morphologies and compositions.

Estimates of the thermal conductivity and the thermoelectric properties of PbTiO$_3$ from first principles