A Compact Approximate Solution to the Friedel-Anderson Impuriy Problem

Abstract

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

References in corpus (2)

• Origin of the giant magnetic moments of Fe impurities on and in Cs films
• A Critical Analysis of the Mean-Field Approximation for the Calculation of the Magnetic Moment in the Friedel-Anderson Impurity Model

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• Oscillations of the magnetic polarization in a Kondo impurity at finite magnetic fields
• Numerical Calculation of the Fidelity for the Kondo and the Friedel-Anderson Impurities
• A universal definition of the Kondo energy from the orthogonality catastrophe
• The Friedel-Anderson and Kondo Impurity Problem for Arbitrary s-Band Density of States and Exchange Interaction
• How the Kondo ground state avoids the orthogonality catastrophe
• The Range of the Kondo Cloud in Weakly Disordered Hosts