Kondo effect in coupled quantum dots with RKKY interaction: Finite temperature and magnetic field effects

Abstract

We study transport through two quantum dots coupled by an RKKY interaction as a function of temperature and magnetic field. By applying the Numerical Renormalization Group (NRG) method we obtain the transmission and the linear conductance. At zero temperature and magnetic field, we observe a quantum phase transition between the Kondo screened state and a local spin singlet as the RKKY interaction is tuned. Above the critical RKKY coupling the Kondo peak is split. However, we find that both finite temperature and magnetic field restore the Kondo resonance. Our results agree well with recent transport experiments on gold grain quantum dots in the presence of magnetic impurities.

4 pages, 5 figures

References in corpus (17)

• Kondo Physics in a Single Electron Transistor
• Low Temperature Transport through a Quantum Dot: The Anderson Model out of Equilibrium
• The Kondo Effect in the Unitary Limit
• Transport Coefficients of the Anderson Model via the Numerical Renormalization Group
• Tunable Non-local Spin Control in a Coupled Quantum Dot System
• Conformal Field Theory Approach to the 2-Impurity Kondo Problem: Comparison with Numerical Renormalization Group Results
• Generalized Numerical Renormalization Group for Dynamical Quantities
• Kondo effect in real quantum dots
• Quantum Phase Transition in a Multi-Level Dot
• The Kondo Effect in the Presence of Magnetic Impurities
• Quantum phase transitions in models of coupled magnetic impurities
• Quantum dots with even number of electrons: Kondo effect in a finite magnetic field
• RKKY and magnetic field interactions in coupled Kondo quantum dots
• Kondo effect induced by a magnetic field
• Transport spectroscopy of Kondo quantum dots coupled by RKKY interaction
• Singlet-Triplet Transition in lateral Quantum Dots: A Numerical Renormalization Group Study
• Singlet-triplet transition in a lateral quantum dot

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• Two-Channel Kondo Effects in Al/AlO${}_x$/Sc Planar Tunnel Junctions
• Convergence of energy scales on the approach to a local quantum critical point
• Regular and singular Fermi liquid in triple quantum dots: Coherent transport studies
• Quantum phase transition in a gapped Anderson model: A numerical renormalization group study
• Magnetic field induced quantum criticality and the Luttinger sum rule
• Manipulability of the Kondo effect in a T-shaped triple-quantum-dot structure
• Gate-tunable split Kondo effect in a carbon nanotube quantum dot
• Quantum phase transition and underscreened Kondo effect in electron transport through parallel double quantum dots
• Magnetically-Tuned Kondo Effect in a Molecular Double Quantum Dot: Role of the Anisotropic Exchange
• The RKKY Interaction and the Nature of the Ground State of Double Dots in Parallel
• Enhanced spin injection efficiency in a four-terminal double quantum dot system
• Quantum criticality in Kondo quantum dot coupled to helical edge states of interacting 2D topological insulators
• Magnetic field induced quantum phase transitions in the two-impurity Anderson model