An analytical strong coupling approach in dynamical mean-field theory

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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).
6 pages, published in the Proceedings the XII-th School on Phase Transitions and Critical Phenomena, 21-24 June, 2001, Ladek Zdroj, Poland

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