Two-Impurity Kondo Effect in Double-Quantum-Dot Systems - Effect of Interdot Kinetic Exchange Coupling

Abstract

Tunneling conductance through two quantum dots, which are connected in series to left and right leads, is calculated by using the numerical renormalization group method. As the hopping between the dots increases from very small value, the following states continuously appear; (i) Kondo singlet state of each dot with its adjacent-site lead, (ii) singlet state between the local spins on the dots, and (iii) double occupancy in the bonding orbital of the two dots. The conductance shows peaks at the transition regions between these states. Especially, the peak at the boundary between (i) and (ii) has the unitarity limit value of $2e^2/h$ because of coherent connection through the lead-dot-dot-lead. For the strongly correlated cases, the characteristic energy scale of the coherent peak shows anomalous decrease relating to the quantum critical transition known for the two-impurity Kondo effect. The two dots systems give the new realization of the two-impurity Kondo problem.

9 pages, 10 figures

References in corpus (6)

• A Tunable Kondo Effect in Quantum Dots
• From the Kondo Regime to the Mixed-Valence Regime in a Single-Electron Transistor
• Spontaneous Emission Spectrum in Double Quantum Dot Devices
• Anomalous Kondo-effect in Quantum Dot at non-zero bias
• Electronic correlations in transport through coupled quantum dots
• Kondo Effect in Single Quantum Dot Systems --- Study with Numerical Renormalization Group Method ---

Cited by in corpus (59)

• Tunable Non-local Spin Control in a Coupled Quantum Dot System
• Transition between Quantum States in a Parallel-Coupled Double-Quantum-Dot
• SU(4) Fermi Liquid State and Spin Filtering in a Double Quantum Dot System
• Kondo Effect and Josephson Current through a Quantum Dot between Two Superconductors
• Multi-impurity Anderson model for quantum dots coupled in parallel
• Quantum phase transitions in models of coupled magnetic impurities
• Interference Effects on Kondo-Assisted Transport through Double Quantum Dots
• Kondo resonant spectra in coupled quantum dots
• Fano-Kondo effect in side-coupled double quantum dots at finite temperatures and the importance of the two-stage Kondo screening
• Kondo effect in coupled quantum dots: a Non-crossing approximation study
• Kondo effect in triple quantum dots
• Transmission Probability for Interacting Electrons Connected to Reservoirs
• Numerical renormalization group study of two-channel three-impurity triangular clusters
• Electron Spins in Artificial Atoms and Molecules for Quantum Computing
• Kondo effect in double quantum dots with inter-dot repulsion
• Kondo effects in a triangular triple quantum dot: NRG study in the whole region of the electron filling
• Kondo effect and anti-ferromagnetic correlation in transport through tunneling-coupled double quantum dots
• Nonequilibrium Transport through Double Quantum Dots: Exact Results near Quantum Critical Point
• Tunable Kondo physics in a carbon nanotube double quantum dot
• Multiparameter critical quantum metrology with impurity probes
• Renormalization group study of capacitively coupled double quantum dots
• Numerical renormalization group approach to a quartet quantum-dot array connected to reservoirs:gate-voltage dependence of the conductance
• Correlated electron transport through double quantum dots coupled to normal and superconducting leads
• Spin qubits in double quantum dots - entanglement versus the Kondo effect
• Nonequilibrium Critical Behavior for Electron Tunneling through Quantum Dots in an Aharonov-Bohm Circuit
• Determination of the phase shifts for interacting electrons connected to reservoirs
• NRG approach to the transport through a finite Hubbard chain connected to reservoirs
• Electron Transport through T-Shaped Double-Dots System
• Spin-Polarized Transprot through Double Quantum Dots
• Two-channel Kondo physics in tunnel-coupled double quantum dots
• Kondo effects and shot noise enhancement in a laterally coupled double quantum dot
• Spectral Density of the Two-Impurity Anderson Model
• Transport theory of coupled quantum dots based on auxiliary operator method
• Kondo effect in coupled quantum dots under magnetic fields
• Spin-orbital and spin Kondo effects in parallel coupled quantum dots
• Crossover in the two-impurity Kondo model induced by direct charge tunneling
• Resonant Pair Tunneling in Double Quantum Dots
• Kondo effect and singlet-triplet splitting in coupled quantum dots in a magnetic field
• Regular and singular Fermi liquid in triple quantum dots: Coherent transport studies
• Kondo temperature and screening extension in a double dot system
• Quantum phase transition and underscreened Kondo effect in electron transport through parallel double quantum dots
• Nonlinear Fermi-liquid transport through a quantum dot in asymmetric tunnel junctions
• Swapping entangled Kondo resonances in parallel-coupled double quantum dots
• Transport properties of a two impurity system: a theoretical approach
• Three-orbital Kondo effect in single quantum dot system with plural electrons
• Perturbation Study of the Conductance through an Interacting Region Connected to Multi-Mode Leads
• Competition between Kondo and Kitaev Physics in Kitaev clusters coupled to a fermionic bath
• Spin-1 two-impurity Kondo problem on a lattice
• Tristability in a non-equilibrium double-quantum-dot in Kondo regime
• Nonlinear Transport through Quantum Dots Studied by the Time-Dependent DMRG
• Quantum dots with two electrons: Singlet-triplet transitions
• Five and three quantum dot systems as apparatuses for measuring energy-levels
• Kondo effect in a double quantum-dot molecule under the effect of an electric and magnetic field
• Entanglement and the Kondo effect in double quantum dots
• Effects of Electron Correlation on the Transport through a Quantum Dot Superlattice
• Transmission probability through small interacting systems: application to a series of quantum dots
• Dynamic Transport Characteristics of Side-Coupled Double Quantum-Impurity Systems
• Dynamics of a tunneling magnetic impurity: Kondo effect induced incoherence
• Changes of Kondo effect in the junction with DIII-class topological and $s$-wave superconductors