Kondo Physics and Exact Solvability of Double Dots Systems

Abstract

We study two double dot systems, one with dots in parallel and one with dots in series, and argue they admit an exact solution via the Bethe ansatz. In the case of parallel dots we exploit the exact solution to extract the behavior of the linear response conductance. The linear response conductance of the parallel dot system possesses multiple Kondo effects, including a Kondo effect enhanced by a nonpertubative antiferromagnetic RKKY interaction, has conductance zeros in the mixed valence regime, and obeys a non-trivial form of the Friedel sum rule.

4 pages, 2 figures; v2: published form to appear in August 2007 issue of Phys. Rev. Lett

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Cited by in corpus (12)

• Nonequilibrium Transport through Double Quantum Dots: Exact Results near Quantum Critical Point
• Ground state of the parallel double quantum dot system
• Nonequilibrium Critical Behavior for Electron Tunneling through Quantum Dots in an Aharonov-Bohm Circuit
• Interaction dominated transport and Coulomb drag in bilayer graphene
• The Two-impurity Anderson Model Revisited: Competition between Kondo Effect and Reservoir-mediated Superexchange in Double Quantum Dots
• The role of the indirect tunneling processes and asymmetry in couplings in orbital Kondo transport through double quantum dots
• Kondo effects and shot noise enhancement in a laterally coupled double quantum dot
• A thermally driven out-of-equilibrium two-impurity Kondo system
• Interplay between interference and Coulomb interaction in the ferromagnetic Anderson model with applied magnetic field
• Nonequilibrium transport properties of a double quantum dot in the Kondo regime
• Transient dynamics of double quantum dots coupled to two reservoirs
• The RKKY Interaction and the Nature of the Ground State of Double Dots in Parallel