Strong Coupling HartreeFock Approximation in the Dynamical MeanField Theory
Abstract
In the limit of infinite spatial dimensions a thermodynamically consistent theory, which is valid for arbitrary value of the Coulombic interaction ($U<\infty$), is built for the Hubbard model when the total auxiliary singlesite problem exactly splits into four subspaces with different ``vacuum states''. Some analytical results are given for the HartreeFock approximation when the 4pole 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$T_c$'s), whereas other two describe contribution from the nonFermi liquid, which is antiferromagnetic and dominant close to half filling (``underdoped case'').
 Publication:

Condensed Matter Physics
 Pub Date:
 2001
 DOI:
 10.5488/CMP.4.1.85
 arXiv:
 arXiv:condmat/0011407
 Bibcode:
 2001CMPh....4...85S
 Keywords:

 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 8 pages, 3 eps figures, feynmf, submitted to Condensed Matter Physics