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Strong coupling Hartree-Fock approximation in the dynamical mean-field theory

In the limit of infinite spatial dimensions, a thermodynamically consistent theory, which is valid for arbitrary value of the Coulombic interaction ( U < ∞ ), is built for the Hubbard model when the total auxiliary single-site problem exactly splits into four subspaces with different “vacuum s...

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Bibliographic Details
Main Author: Shvaika, A.M.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2001
Series:Condensed Matter Physics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/119753
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Summary:In the limit of infinite spatial dimensions, a thermodynamically consistent theory, which is valid for arbitrary value of the Coulombic interaction ( U < ∞ ), is built for the Hubbard model when the total auxiliary single-site problem exactly splits into four subspaces with different “vacuum states”. Some analytical results are given for the Hartree-Fock approximation when the 4- pole structure for Green’s function is obtained: two poles describe contribution from the Fermi liquid component, which is ferromagnetic and dominant for small electron and hole concentrations (“overdoped case” of high- Tc ’s), whereas other two describe contribution from the non-Fermi liquid, which is antiferromagnetic and dominant close to half filling (“underdoped case”).