The Coulomb Blockade in Quantum Boxes
arXiv:cond-mat/0211656 · doi:10.1103/PhysRevB.68.041311
Abstract
The charging of a quantum box connected to a lead by a single-mode point contact is solved for arbitrary temperatures, tunneling amplitudes, and gate voltages, using a variant of Wilson's numerical renormalization group. The charge inside the box and the capacitance of the junction are calculated on equal footing for all physical regimes, including weak tunneling, near perfect transmission, and the crossover regime in between. At the charge plateaus, perturbation theory is found to break down at fairly small tunneling amplitudes. Near perfect transmission, we confirm Matveev's scenario for the smearing of the Coulomb-blockade staircase. A surprising reentrance of the Coulomb-blockade staircase is found for large tunneling amplitudes. At the degeneracy points, we obtain two-channel Kondo behavior directly from the Coulomb-blockade Hamiltonian, without the restriction to two charge configurations or the introduction of an effective cutoff.
Published version
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- Discrete charging of a quantum dot strongly coupled to external leads
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- Coulomb blockade and Non-Fermi-liquid behavior in quantum dots
- Enhancement of the Two-channel Kondo Effect in Single-Electron boxes
- Observing the universal screening of a Kondo impurity
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- Two-channel pseudogap Kondo and Anderson models: Quantum phase transitions and non-Fermi liquids
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- Transmission phase shifts of Kondo impurities
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- BCS surrogate models for floating superconductor-semiconductor hybrids
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- Numerical study of the Coulomb blockade in an open quantum dot
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- Subgap states in superconducting islands