A Compact Approximate Solution to the Friedel-Anderson Impuriy Problem

Details A Compact Approximate Solution to the Friedel-Anderson Impuriy Problem A Compact Approximate Solution to the Friedel-Anderson Impuriy Problem

2006-02-08

arxiv.org/abs/cond-mat/0602196v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevB.74.144420

An approximate groundstate of the Anderson-Friedel impurity problem is presented in a very compact form. It requires solely the optimization of two localized electron states and consists of four Slater states (Slater determinants). The resulting singlet ground state energy lies far below the Anderson mean field solution and agrees well with the numerical results by Gunnarsson and Schoenhammer, who used an extensive 1/N_{f}-expansion for a spin 1/2 impurity with double occupancy of the impurity level. PACS: 85.20.Hr, 72.15.Rn

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