The Single-Electron-Box and the Helicity Modulus of an inverse square XY-Model

Abstract

We calculate the average number of electrons on a metallic single-electron-box as a function of the gate voltage for arbitrary values of the tunneling conductance. In the vicinity of the plateaus the problem is equivalent to calculating the helicity modulus of a classical inverse square XY-model in one dimension. By a combination of perturbation theory, a two-loop renormalization group calculation and a Monte-Carlo simulation in the intermediate regime we provide a complete description of the smearing of the Coulomb staircase at zero temperature with increasing conductance.

4 pages revtex, 1 eps figure

Cited by in corpus (38)

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• Strong Electron Tunneling through Mesoscopic Metallic Grains
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• Full Current Statistics in the Regime of Weak Coulomb Interaction
• Strong Tunneling and Coulomb Blockade in a Single-Electron Transistor
• The Coulomb Blockade in Quantum Boxes
• Integrable Circular Brane Model and Coulomb Charging at Large Conduction
• Notes on parafermionic QFT's with boundary interaction
• Interaction-Induced Quantum Dephasing in Mesoscopic Rings
• Direct Measurement of the Destruction of Charge Quantization in a Single Electron Box
• Charge relaxation resistance in the Coulomb blockade problem
• Effect of the Tunneling Conductance on the Coulomb Staircase
• Decay of the Two-Point Function in One-Dimensional O(N) Spin Models with Long Range Interactions
• Strongly correlated dynamics in multichannel quantum RC circuits
• Two-loop approximation in the Coulomb blockade problem
• Universal scaling behavior of the single electron box in the strong tunneling limit
• Rings and boxes in dissipative environments
• Interference in presence of Dissipation
• Coulomb Blockade and Super Universality of the Theta-Angle
• The problem of "macroscopic charge quantization" in single-electron devices
• Quantum corrections from a path integral over reparametrizations
• One SYK SET
• Particle renormalizations in presence of dissipative environments
• Coulomb Charging Effects for Finite Channel Number
• Charge Fluctuations in the Single Electron Box
• Path Integral over Reparametrizations: Levy Flights versus Random Walks
• e-h Coherence and Charging Effects in Ultrasmall Metallic Grains
• Phase transitions for a collective coordinate coupled to Luttinger liquids
• Superconductor-insulator transition in capacitively coupled superconducting nanowires
• Coulomb Blockade and Insulator-to-Metal Quantum Phase Transition
• Coulomb blockade in metallic grains at large conductance
• Cluster transfer matrix method for the single electron box
• Effective charging energy of the single electron box
• Rings and Coulomb boxes in dissipative environments
• Electron Transport in Metallic Grains
• Zero temperature geometric spin dephasing on a ring in presence of an Ohmic environment