LAUSR

The effect of correlated hopping on the charge and heat transport of strongly correlated particles is studied for the Falicov-Kimball model on the Bethe lattice. An exact solutions for the one particle density of states (DOS) and the two particle transport function (the "quasiparticle" scattering time) are derived using the dynamical mean field theory. For a wide range of the correlated hopping parameter, we find that the transport function that enters the Boltzmann relations for transport coefficients exhibits singularities due to the two particle resonant contributions, whereas the one particle DOS does not show any anomalous features. By tuning the number of itinerant electrons and bringing the Fermi level in the vicinity of the resonant frequency, we get a large increase of the conductivities and the thermoelectric power. Besides, when the hopping amplitude between the occupied sites is strongly reduced, the itinerant electrons localize in the clusters of sites occupied by $f$-electrons, which gives rise to an additional narrow band in the DOS, between the lower and upper Hubbard bands. This localized band has only a minor effect on the thermoelectric properties.