Interpolative Approach for Solving Quantum Impurity Model Based on the Slave--Boson Mean--Field Approximation

Details Interpolative Approach for Solving Quantum Impurity Model Based on the Slave--Boson Mean--Field Approximation Interpolative Approach for Solving Quantum Impurity Model Based on the Slave--Boson Mean--Field Approximation

2004-01-27

arxiv.org/abs/cond-mat/0401539v1

Physics

Condensed Matter

Strongly Correlated Electrons

11 revtex pages, 6 eps figures

Scientific paper

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, high--frequency moments and the value of quasiparticle residue are used to establish the equations for the coefficients of the interpolation. We test two fast techniques, the slave--boson mean--field and the Hubbard I approximation to determine the coefficients. The obtained self--energies are compared with the results of numerically exact Quantum Monte Carlo method. We find that using the slave--boson mean--field approach we can construct an accurate self--energy for all frequencies via the proposed interpolation procedure.

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