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Investigation of the two-particle-self-consistent theory for the single-impurity Anderson model and an extension to the case of strong correlation

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Saitama University Cyber Repository of Academic Resources
Keywords
  • Impurity Anderson Model
  • Two-Particle Self-Consistent Theory
  • Dynamical Susceptibility
  • Self-Energy
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Abstract

The two-particle-self-consistent theory is applied to the single-impurity Anderson model. It is found that it cannot reproduce the small energy scale in the strong correlation limit. A modified scheme to overcome this difficulty is proposed by introducing an appropriate vertex correction explicitly. Using the same vertex correction, the self-energy is investigated, and it is found that under certain assumptions it reproduces the result of the modified perturbation theory which interpolates the weak and the strong correlation limits.

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