Charge relaxation resistance in the Coulomb blockade problem

Abstract

We study the dissipation in a system consisting of a small metallic island coupled to a gate electrode and to a massive reservoir via single tunneling junction. The dissipation of energy is caused by a slowly oscillating gate voltage. We compute it in the regimes of weak and strong Coulomb blockade. We focus on the regime of not very low temperatures when electron coherence can be neglected but quantum fluctuations of charge are strong due to Coulomb interaction. The answers assume a particularly transparent form while expressed in terms of specially chosen physical observables. We discovered that the dissipation rate is given by a universal expression in both limiting cases.

21 pages, 12 figures

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Cited by in corpus (22)

• Universal Resistances of the Quantum RC circuit
• Excess dissipation in a single-electron box: The Sisyphus resistance
• Cavity photons as a probe for charge relaxation resistance and photon emission in a quantum dot coupled to normal and superconducting continua
• Giant Charge Relaxation Resistance in the Anderson Model
• Fermi liquid approach to the quantum RC circuit: renormalization-group analysis of the Anderson and Coulomb blockade models
• Detection of the relaxation rates of an interacting quantum dot by a capacitively coupled sensor dot
• Nonlinear adiabatic response of interacting quantum dots
• Spectral distribution and wavefunction of electrons emitted from a single particle source in the quantum Hall regime
• Strongly correlated dynamics in multichannel quantum RC circuits
• Coulomb-blockade effect in nonlinear mesoscopic capacitors
• Probing dynamics of Majorana fermions in quantum impurity systems
• Effects of anisotropy and disorder on the conductivity of Weyl semimetals
• Rings and boxes in dissipative environments
• Admittance of the SU(2) and SU(4) Anderson quantum RC circuits
• Charge Resistance in a Majorana RC circuit
• From Anderson Localization to Mesoscopic Physics
• The problem of "macroscopic charge quantization" in single-electron devices
• Phase-Coherent Dynamics of Quantum Devices With Local Interactions
• A quantum magnetic RC circuit
• Out-of-Equilibrium Admittance of Single Electron Box Under Strong Coulomb Blockade
• Charge relaxation resistance in the cotunneling regime of multi-channel Coulomb blockade: Violation of Korringa-Shiba relation
• Rings and Coulomb boxes in dissipative environments