Diagrammatic method for investigating universal behavior of impurity systems

Details Diagrammatic method for investigating universal behavior of impurity systems Diagrammatic method for investigating universal behavior of impurity systems

1998-07-09

arxiv.org/abs/cond-mat/9807134v1

Phys. Rev. B 55, 13575 (1997)

Physics

Condensed Matter

Strongly Correlated Electrons

21 pages, 3 figures

Scientific paper

10.1103/PhysRevB.55.13575

The universal behavior of magnetic impurities in a metal is proved with the help of skeleton diagrams. The energy scales are derived from the structure of the skeleton diagrams. A minimal set of skeleton diagrams is sorted out that scales exactly. For example, the non-crossing approximation for the Anderson impurity model can describe the crossover phenomenon. The universal Wilson-number is calculated within the non-crossing approximation. The method allows for an assessment of various approximations for impurity Hamiltonians.

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