Interpolative Approach for Solving the Anderson Impurity Model

Details Interpolative Approach for Solving the Anderson Impurity Model Interpolative Approach for Solving the Anderson Impurity Model

2004-10-18

arxiv.org/abs/cond-mat/0410410v1

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, 9 figures

Scientific paper

10.1103/PhysRevB.71.115117

A rational representation for the self--energy is explored to interpolate the solution of the Anderson impurity model in general orbitally degenerate case. Several constrains such as the Friedel's sum rule, positions of the Hubbard bands as well as the value of quasiparticle residue are used to establish the equations for the coefficients of the interpolation. We employ two fast techniques, the slave--boson mean--field and the Hubbard I approximations to determine the functional dependence of the coefficients on doping, degeneracy and the strength of the interaction. The obtained spectral functions and self--energies are in good agreement with the results of numerically exact quantum Monte Carlo method.

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