Strong Tunneling in the Single-Electron Box

Abstract

We study strong tunneling (i.e. transmission $h/e^2{R}_T\gg 1$) in the single-electron box with many transverse modes at zero temperature. We develop a new renormalization group method which includes all charge states and requires no initial or final energy cutoff. We determine the ground-state energy, the average charge and the renormalized charging energy. The covered range for the coupling constant and the gate voltage is much increased in comparison to recent perturbative approaches, poor man scaling methods and Quantum Monte Carlo simulations. We reach the regime where Coulomb blockade become practically unobservable.

5 pages, 5 figures

References in corpus (2)

• Cotunneling and renormalization effects for the single-electron transistor
• Effect of the Tunneling Conductance on the Coulomb Staircase

Cited by in corpus (33)

• On steady-state currents through nano-devices: a scattering-states numerical renormalization group approach to open quantum systems
• A perturbative nonequilibrium renormalization group method for dissipative quantum mechanics: Real-time RG in frequency space (RTRG-FS)
• Real-time renormalization group and charge fluctuations in quantum dots
• Nonequilibrium theory of Coulomb blockade in open quantum dots
• Real-Time-RG Analysis of the Dynamics of the Spin-Boson Model
• Strong Charge Fluctuations in the Single-Electron Box: A Quantum Monte Carlo Analysis
• Strong Tunneling and Coulomb Blockade in a Single-Electron Transistor
• The Coulomb Blockade in Quantum Boxes
• Non-equlibrium effects in transport through quantum dots
• Interaction-Induced Quantum Dephasing in Mesoscopic Rings
• Coulomb blockade and Non-Fermi-liquid behavior in quantum dots
• Enhancement of the Two-channel Kondo Effect in Single-Electron boxes
• Nonperturbative analysis of coupled quantum dots in a phonon bath
• Conductance of the single-electron transistor: A comparison of experimental data with Monte Carlo calculations
• Coherence and Coulomb blockade in single electron devices: a unified treatment of interaction effects
• Two-loop approximation in the Coulomb blockade problem
• Universal scaling behavior of the single electron box in the strong tunneling limit
• Orbital fluctuations and strong correlations in quantum dots
• Nonequilibrium dephasing in Coulomb blockade quantum dots
• Interference in presence of Dissipation
• Strong Tunneling in Double-Island Structures
• Weak Coulomb blockade effect in quantum dots
• Noise of a single-electron transistor in the regime of large quantum fluctuations of island charge out of equilibrium
• Charge Fluctuations in the Single Electron Box
• Kondo and mixed valence regimes in multi-level quantum dots
• Renormalization group study of the 1d polaron problem
• Linear Kondo conductance in a quantum dot
• Dissipative phase transition in two-dimensional d-wave Josephson junctions
• Effective charging energy of the single electron box
• Transport in metallic multi-island Coulomb blockade systems: A systematic perturbative expansion in the junction transparency
• Hamiltonian theory of the strongly-coupled limit of the Kondo problem in the overscreened case
• Electron Transport in Metallic Grains
• Instantons in the out-of-equilibrium Coulomb blockade