Correlated hopping in the Falicov-Kimball model: A large-dimensions study

Abstract

The Falicov-Kimball model with a correlated-hopping interaction is solved using an extended dynamical mean-field theory that becomes exact in the limit of large dimensions. The effect of correlated hopping is to introduce nonlocal self-energy components that retain full dynamics as D goes to infinity, thus introducing an explicit k-dependence to the single-particle self-energy. An explicit solution for the homogeneous phase at D = 2 reveals significant nonlocal dynamical contributions in the physically relevant regime of a moderately large correlated-hopping amplitude, indicating that important nonlocal correlations are omitted in Hubbard-like models upon neglecting the correlated-hopping interaction.

4 pages, 4 figures; to appear in Phys. Rev. B

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• Effect of correlated hopping on thermoelectric properties: Exact solutions for the Falicov-Kimball model
• Gapless regime in the charge density wave phase of the finite dimensional Falicov-Kimball model
• Influence of assisted hopping interaction on the linear conductance of quantum dot
• Electronic transport through correlated electron systems with nonhomogeneous charge orderings
• Resonant enhancement of thermoelectric properties by correlated hopping for the Falicov-Kimball model on Bethe lattice
• Correlated hopping in infinite dimensions: Rigorous local approach
• Electron-hole asymmetry in electron systems with orbital degeneracy and correlated hopping
• Appearance of Antiferromagnetism and Superconductivity in Superconducting Cuprates
• Nonlocal correlations in the optical conductivity spectra
• Thermoelectric properties of Mott insulator with correlated hopping at microdoping
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