Resonant enhancement of thermoelectric properties by correlated hopping for the Falicov-Kimball model on Bethe lattice

Abstract

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. Exact solutions for the one particle density of states (DOS) and two particle transport function (the "quasiparticle" scattering time) are derived using dynamical mean field theory. For a wide range of the correlated hopping, the transport function exhibits singularities due to the resonant two-particle contribution, whereas the one particle DOS does not show any anomalous features. By tuning the number of itinerant electrons, so as to bring the Fermi level close to the resonant frequency, we get a large increase of the electrical and thermal conductivities, and the thermoelectric power. When the hopping amplitude between the occupied sites is reduced sufficiently, the itinerant electrons localize in the clusters of sites occupied by $f$ electrons. This gives rise to an additional narrow band in the DOS between the lower and upper Hubbard bands, but has only a minor effect on the thermoelectric properties.

arXiv comment15 pages, 14 figures, some figures are corrected

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Cited by in corpus (5)

• DMRG study of exciton condensation in the extended Falicov-Kimball model
• Electron-hole asymmetry in electron systems with orbital degeneracy and correlated hopping
• Nonlocal correlations in the optical conductivity spectra
• $3d$-electrons contribution to cohesive energy of $3d$-metals
• Thermoelectric properties of Mott insulator with correlated hopping at microdoping