Exact crossover Green function in the two-channel and two-impurity Kondo models

Abstract

Symmetry-breaking perturbations destabilize the critical points of the two-channel and two-impurity Kondo models, thereby leading to a crossover from non-Fermi liquid behavior to standard Fermi liquid physics. Here we use an analogy between this crossover and one occurring in the boundary Ising model to calculate the full zero temperature crossover Green function analytically. In remarkable agreement with our numerical renormalization group calculations, the single exact function applies for an arbitrary mixture of the relevant perturbations in each model. This rich behavior resulting from finite channel asymmetry, inter-lead charge transfer and/or magnetic field should be observable in quantum dot or tunneling experiments.

4 pages, 1 figure

References in corpus (9)

• The numerical renormalization group method for quantum impurity systems
• Observation of the two-channel Kondo effect
• Kondo effect in quantum dots
• Quantum criticality in a double quantum-dot system
• Quantum phase transition in a two-channel-Kondo quantum dot device
• Theory of inelastic scattering from magnetic impurities
• Theory of inelastic scattering from quantum impurities
• Dynamical conductance in the two-channel Kondo regime of a double dot system
• Crossover in the two-impurity Kondo model induced by direct charge tunneling

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