Transport Properties of Multiple Quantum Dots Arranged in Parallel: Results from the Bethe Ansatz
arXiv:cond-mat/0701670 · doi:10.1088/1367-2630/9/8/257
Abstract
In this paper we analyze transport through a double dot system connected to two external leads. Imagining each dot possessing a single active level, we model the system through a generalization of the Anderson model. We argue that this model is exactly solvable when certain constraints are placed upon the dot Coulomb charging energy, the dot-lead hybridization, and the value of the applied gate voltage. Using this exact solvability, we access the zero temperature linear response conductance both in and out of the presence of a Zeeman field. We are also able to study the finite temperature linear response conductance. We focus on universal behaviour and identify three primary features in the transport of the dots: i) a so-called RKKY Kondo effect; ii) a standard Kondo effect; and iii) interference phenomena leading to sharp variations in the conductance including conductance zeros. We are able to use the exact solvability of the dot model to characterize these phenomena quantitatively. While here we primarily consider a double dot system, the approach adopted applies equally well to N-dot systems.
28 pages, 10 figures; references added in v2
References in corpus (36)
- Kondo Physics in a Single Electron Transistor
- A Tunable Kondo Effect in Quantum Dots
- From the Kondo Regime to the Mixed-Valence Regime in a Single-Electron Transistor
- The Kondo Effect in the Unitary Limit
- Control and Detection of Singlet-Triplet Mixing in a Random Nuclear Field
- Triplet-Singlet Spin Relaxation via Nuclei in a Double Quantum Dot
- Transport Coefficients of the Anderson Model via the Numerical Renormalization Group
- Tunable Non-local Spin Control in a Coupled Quantum Dot System
- Optical pumping of electronic and nuclear spin in single charge-tunable quantum dots
- Electronic correlations in transport through coupled quantum dots
- Universality of the Kondo Effect in a Quantum Dot out of Equilibrium
- Kondo effect in real quantum dots
- Two-stage Kondo effect in a quantum dot at high magnetic field
- Strongly correlated regimes in a double quantum-dot device
- SU(4) Kondo Effect in Carbon Nanotubes
- Enhancement of Kondo effect in quantum dots with an even number of electrons
- Interference Effects on Kondo-Assisted Transport through Double Quantum Dots
- Conduction through a quantum dot near a singlet-triplet transition
- RKKY and magnetic field interactions in coupled Kondo quantum dots
- Probing spin and orbital Kondo effects with a mesoscopic interferometer
- Correlation induced resonances in transport through coupled quantum dots
- Zero-field Kondo splitting and quantum-critical transition in double quantum dots
- Interference in interacting quantum dots with spin
- Transport in Quantum Dots from the Integrability of the Anderson Model
- Transport spectroscopy of Kondo quantum dots coupled by RKKY interaction
- Excited state spectroscopy in carbon nanotube double quantum dots
- Transport through Quantum Dots: Analytic Results from Integrability
- Kondo screening cloud effects in mesoscopic devices
- Thermodynamics and excitations of the one-dimensional Hubbard model
- Singular conductance of a spin 1 quantum dot
- Interference Effects in the Conductance of Multi-Level Quantum Dots
- Prediction of Ferromagnetic Correlations in Coupled Double-Level Quantum Dots
- Indirect Exchange Interaction between two Quantum Dots in an Aharonov-Bohm Ring
- Level statistics of quantum dots coupled to reservoirs
- Quantum Transport and Integrability of the Anderson Model for a Quantum Dot with Multiple Leads
- Electronic spin precession and interferometry from spin-orbital entanglement in a double quantum dot