Fermi liquid theory for SU(N) Kondo model

Abstract

We extend the Fermi liquid theory of Nozières by introducing the next-to-leading order corrections to the Fermi liquid fixed point. For a general SU(N) Kondo impurity away from half-filling, this extension is necessary to compute observables (resistivity, current or noise) at low energy. Three additional contributions are identified and their coupling constants are related using an original (and more complete) formulation of the Kondo resonance {\it floating}. In the conformal field theory language, a single cubic operator is proposed that produces the same three contributions with the same coupling constants. Comparison with an exact free energy expansion further relates the leading and next-to-leading order corrections so that a single energy scale, the Kondo temperature, eventually governs the low energy regime. We compare our results at large $N$ with the approach of Read and Newns and find analytical agreement.

7 pages, 3 figures, published version

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• SU(3) Kondo effect in spinless triple quantum dots
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• Quantum noise in carbon nanotubes as a probe of correlations in the Kondo regime
• Role of bias and tunneling asymmetries in nonlinear Fermi-liquid transport through an SU($N$) quantum dot
• Programmable Kondo Effect Formed by Landau Levels
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• Thermoelectric transport and current noise through a multilevel Anderson impurity: Three-body Fermi-liquid corrections in quantum dots and magnetic alloys
• Multistage Kondo effect in a multiterminal geometry: A modular quantum interferometer
• A Lie-Algebraic Approach To the Kondo Problem
• Quantum impurity models from conformal field theory
• Three-body Fermi liquid corrections for an infinite-$U$ SU($N$) Anderson impurity model
• Transmission phase evolution in fully screened and overscreened Kondo impurities
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