  Topological edge states are predicted to be responsible for the high
efficient thermoelectric response of topological insulators, currently the best
thermoelectric materials. However, to explain their figure of merit the
coexistence of topological electrons, entropy and phonons can not be considered
independently. In a background that puts together electrodynamics and topology,
through an expression for the topological intrinsic field, we treat
relativistic phonons within the topological surface showing their ability to
modulate the Berry curvature of the bands and then playing a fundamental role
in the thermoelectric effect. Finally, we show how the topological insulators
under such relativistic thermal excitations keep time reversal symmetry
allowing the observation of high figures of merit at high temperatures. The
emergence of this new intrinsic topological field and other constraints are
suitable to have experimental consequences opening new possibilities of
improving the efficiency of this topological effect for their based technology.
