Asymptotically exact mean field theory for the Anderson model including double occupancy

Details Asymptotically exact mean field theory for the Anderson model including double occupancy Asymptotically exact mean field theory for the Anderson model including double occupancy

1993-05-24

arxiv.org/abs/cond-mat/9305028v1

Physics

Condensed Matter

19, RevTeX, cond-mat/9305028

Scientific paper

10.1103/PhysRevB.48.5077

The Anderson impurity model for finite values of the Coulomb repulsion $U$ is studied using a slave boson representation for the empty and doubly occupied $f$-level. In order to avoid well known problems with a naive mean field theory for the boson fields, we use the coherent state path integral representation to first integrate out the double occupancy slave bosons. The resulting effective action is linearized using {\bf two-time} auxiliary fields. After integration over the fermionic degrees of freedom one obtains an effective action suitable for a $1/N_f$-expansion. Concerning the constraint the same problem remains as in the infinite $U$ case. For $T \rightarrow 0$ and $N_f \rightarrow \infty$ exact results for the ground state properties are recovered in the saddle point approximation. Numerical solutions of the saddle point equations show that even in the spindegenerate case $N_f = 2$ the results are quite good.

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