Coherence and Coulomb blockade in single electron devices: a unified treatment of interaction effects
arXiv:cond-mat/0307207 · doi:10.1103/PhysRevB.68.245311
Abstract
We study the interplay between Coulomb blockade and the Kondo effect in quantum dots. We use a self-consistent scheme which describes mesoscopic devices in terms of a collective phase variable (slave rotor) and quasiparticle degrees of freedom. In the strong Coulomb blockade regime, we recover the description of metallic islands in terms of a phase only action. For a dot with well-separated levels, our method leads to the Kondo effect. We identify the regime where a crossover between the Coulomb blockade regime at high temperatures and the formation of a Kondo resonance at lower temperature takes place. In addition, we find that for a dot with many overlapping resonances, an {\it inverse crossover} can take place. A Kondo resonance which involves many levels within the dot is first formed, and this coherent state is suppressed by correlation effects at lower temperatures. A narrower Kondo resonance, due to a single level in the dot can emerge at even lower temperatures.
arXiv comment13 pages, 8 figures. Minor comments added in last version
References in corpus (26)
- Kondo Physics in a Single Electron Transistor
- A Tunable Kondo Effect in Quantum Dots
- The Statistical Theory of Quantum Dots
- Revival of the Kondo effect
- Quantum Effects in Coulomb Blockade
- Mesoscopic Transport Through Ballistic Cavities: A Random S-Matrix Theory Approach
- Universal Quantum Signatures of Chaos in Ballistic Transport
- Collective Coulomb Blockade in an Array of Quantum Dots: A Mott-Hubbard Approach
- Kondo effect in real quantum dots
- Quantum Phase Transition in a Multi-Level Dot
- Quantum impurity solvers using a slave rotor representation
- Towards an Explanation of the Mesoscopic Double-Slit Experiment: a new model for charging of a Quantum Dot
- Transition from overscreening to underscreening in the multichannel Kondo model: exact solution at large N
- Transport in multilevel quantum dots: from the Kondo effect to the Coulomb blockade regime
- Transition from insulating to a non-insulating temperature dependence of the conductivity in granular metals
- Resonant Tunneling through Multi-Level and Double Quantum Dots
- Strong Tunneling in the Single-Electron Box
- Strong Electron Tunneling through Mesoscopic Metallic Grains
- Strong Charge Fluctuations in the Single-Electron Box: A Quantum Monte Carlo Analysis
- Strong Tunneling and Coulomb Blockade in a Single-Electron Transistor
- Spin Effects and Transport in Quantum Dots with overlapping Resonances
- Flux-quantum-modulated Kondo conductance in a multielectron quantum dot
- Kondo ground state in a quantum dot with an even number of electrons
- Effect of assisted hopping on the formation of local moments in magnetic impurities and quantum dots
- Granular systems in the Coulomb blockade regime
- Charge Fluctuations in the Single Electron Box
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