A planar diagram approach to the correlation problem

Details A planar diagram approach to the correlation problem A planar diagram approach to the correlation problem

1999-12-20

arxiv.org/abs/cond-mat/9912350v1

Physics

Condensed Matter

Strongly Correlated Electrons

revtex, 5 pages, with 3 eps figures

Scientific paper

10.1103/PhysRevB.61.R5066

We transpose an idea of 't Hooft from its context of Yang and Mills' theory of strongly interacting quarks to that of strongly correlated electrons in transition metal oxides and show that a Hubbard model of N interacting electron species reduces, to leading orders in N, to a sum of almost planar diagrams. The resulting generating functional and integral equations are very similar to those of the FLEX approximation of Bickers and Scalapino. This adds the Hubbard model at large N to the list of solvable models of strongly correlated electrons. PACS Numbers: 71.27.+a 71.10.-w 71.10.Fd

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