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An analytical strong coupling approach in dynamical mean-field theory

A. M. Shvaika
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Abstract

In the limit of infinite spatial dimensions a thermodynamically consistent theory of the strongly correlated electron systems, which is valid for arbitrary value of the Coulombic interaction ($U<\infty$), is built. For the Hubbard model the total auxiliary single-site problem exactly splits into four subspaces, which describe Fermi and non-Fermi liquid components. Such analytical approach allows to construct different thermodynamically consistent approximations: alloy-analogy approximation, Hartree-Fock approximation and further, that describes the self-consistent renormalization of the bosonic excitations (magnons and doublons).

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A. M. Shvaika. 2001-11-12. An analytical strong coupling approach in dynamical mean-field theory. https://arxiv.org/abs/cond-mat/0106044

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