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28 March 2024
 
  » arxiv » cond-mat/0007274

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Diagrammatic theory of the Anderson impurity model with finite Coulomb interaction
K. Haule ; S. Kirchner ; J. Kroha ; P. Wölfle ;
Date 17 Jul 2000
Journal in "Kondo Effect and dephasing in low-dimensional metallic systems", NATO Science Series II, vol. 50, 211 (Kluwer Academic Publishers, 2001)
Subject Strongly Correlated Electrons; Mesoscopic Systems and Quantum Hall Effect | cond-mat.str-el cond-mat.mes-hall
Affiliation1, 2), S. Kirchner , J. Kroha and P. Wölfle ( Institute Josef Stefan, Ljubljana, Slovenia; Universität Karlsruhe, Germany
AbstractWe have developed a self-consistent conserving pseudo particle approximation for the Anderson impurity model with finite Coulomb interaction, derivable from a Luttinger Ward functional. It contains an infinite series of skeleton diagrams built out of fully renormalized Green’s functions. The choice of diagrams is motivated by the Schrieffer Wolff transformation which shows that singly and doubly occupied states should appear in all bare diagrams symmetrically. Our numerical results for $T_K$ are in excellent agreement with the exact values known from the Bethe ansatz solution. The low energy physics of non-Fermi liquid Anderson impurity systems is correctly described while the present approximation fails to describe Fermi liquid systems, since some important coherent spin flip and charge transfer processes are not yet included. It is believed that CTMA (Conserving T-matrix approximation) diagrams will recover also Fermi liquid behavior for Anderson models with finite Coulomb interaction as they do for infinite Coulomb interaction.
Source arXiv, cond-mat/0007274
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