Renormalization Group Approach to Spectral Properties of the Two-Channel Anderson Impurity Model

Abstract

The impurity Green function and dynamical susceptibilties for the two-channel Anderson impurity model are calculated. An exact expression for the self-energy of the impurity Green function is derived. The imaginary part of the self-energy scales as $\sqrt{|\w/T_K|}$ for $T\to 0$ serving as a hallmark for non-Fermi behavior. The many-body resonance is pinned to a universal value $1/(2\pi \Delta )$ at $\w=0$. Its shape becomes increasingly more symmetric for the Kondo-regimes of the model. The dynamical susceptibilities are governed by two energy scales $T_K$ and $T_h$ and approach a constant value for $\w\to 0$, whereas relation $χ''(\w)\propto \w$ holds for the single channel model.

4 pages, 4 figure, revtex

References in corpus (4)

• Numerical Renormalization Group Calculations for the Self-energy of the impurity Anderson model
• Solution of the Two-Channel Anderson Impurity Model - Implications for the Heavy Fermion UBe${}_{13}$ -
• Mixed-valent regime of the two-channel Anderson impurity as a model for UBe_13
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