Crossover in the two-impurity Kondo model induced by direct charge tunneling

Abstract

Quantum critical behavior in the two-impurity Kondo model requires the distinct separation of two scales, T_K >> T*, where T_K is the Kondo temperature and T* is the scale at which the system renormalizes away from the quantum critical point to a stable Fermi liquid fixed point. We provide a derivation of T* based on the renormalization group to lowest order. This result is confirmed by a numerical renormalization group (NRG) analysis which supplements the analytic derivation with additional quantitative precision. The form of the low-energy Fermi liquid fixed point is derived and subsequently confirmed by the NRG. We discuss implications for series double quantum dot systems.

10 pages, 6 figures; resubmitted Oct. 31, 2011 to include corrections discovered after original submission

References in corpus (4)

• The numerical renormalization group method for quantum impurity systems
• Observation of the two-channel Kondo effect
• Quantum criticality in a double quantum-dot system
• The Influence of Interference on the Kondo Effect in a Quantum Dot

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• Two-channel Kondo physics in tunnel-coupled double quantum dots
• Supersymmetric approach to heavy fermion systems
• Multi-faced Black Janus and Entanglement
• Probing dynamics of Majorana fermions in quantum impurity systems
• Convergence of energy scales on the approach to a local quantum critical point
• Kondo temperature and screening extension in a double dot system
• Rescuing a Quantum Phase Transition with Quantum Noise
• The RKKY Interaction and the Nature of the Ground State of Double Dots in Parallel
• Magnetic field induced quantum phase transitions in the two-impurity Anderson model