Dynamical mean-field theory of correlated hopping: A rigorous local approach

Details Dynamical mean-field theory of correlated hopping: A rigorous local approach Dynamical mean-field theory of correlated hopping: A rigorous local approach

2002-05-15

arxiv.org/abs/cond-mat/0205322v4

Phys.Rev. B67 (2003) 075101

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, 9 figures, corrected according to the published Erratum

Scientific paper

10.1103/PhysRevB.67.075101

A general approach for the description of correlated hopping in infinite dimensions, which is based on an expansion over electron hopping around the atomic limit, is developed. Such an approach keeps the dynamical mean-field theory local ideology and allows one to calculate the thermodynamical functions. A grand-canonical potential functional and a $\Phi$-derivatible theory that does not introduce the self-energy is proposed. As limiting cases the Falicov--Kimball model with correlated hopping and the model with broken bonds ("diluted" conductor) are investigated, and the connection with the Blackman-Esterling-Berk coherent potential approximation approach in the theory of the binary alloy with off-diagonal disorder is considered.

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