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We apply dynamical mean field theory to study a prototypical model thatdescribes charge ordering in the presence of both electron-lattice interactionsand intersite electrostatic repulsion between electrons. We calculate theoptical and d.c. conductivity, and derive approximate formulas valid in thelimiting electron-lattice coupling regimes. In the weak coupling regime, werecover the usual behavior of charge density waves, characterized by a transferof spectral weight due to the opening of a gap in the excitation spectrum. Inthe opposite limit of very strong electron-lattice coupling, instead, thecharge ordering transition is signaled by a global enhancement of the opticalabsorption, with no appreciable spectral weight transfer. Such behavior isrelated to the progressive suppression of thermally activated charge defectstaking place below the critical temperature. At intermediate values of thecoupling within the polaronic regime, a complex behavior is obtained where bothmechanisms of transfer and enhancement of spectral weight coexist.

Signatures of polaronic charge ordering in optical and dc conductivity using dynamical mean field theory