Mesoscopic Capacitance Oscillations
arXiv:cond-mat/0608417 · doi:10.1088/0957-4484/18/4/044029
Abstract
We examine oscillations as a function of Fermi energy in the capacitance of a mesoscopic cavity connected via a single quantum channel to a metallic contact and capacitively coupled to a back gate. The oscillations depend on the distribution of single levels in the cavity, the interaction strength and the transmission probability through the quantum channel. We use a Hartree-Fock approach to exclude self-interaction. The sample specific capacitance oscillations are in marked contrast to the charge relaxation resistance, which together with the capacitance defines the RC-time, and which for spin polarized electrons is quantized at half a resistance quantum. Both the capacitance oscillations and the quantized charge relaxation resistance are seen in a strikingly clear manner in a recent experiment.
9 pages, 2 figures
References in corpus (13)
- Violation of Kirchhoff's Laws for a Coherent RC Circuit
- Coulomb blockade at almost perfect transmission
- Voltage-probe and imaginary potential models for dephasing in a chaotic quantum dot
- Quantum mechanical time-delay matrix in chaotic scattering
- Phase coherent transmission through interacting mesoscopic systems
- Observation of quantum capacitance in the Cooper-pair transistor
- Charge Transfer Induced Persistent Current and Capacitance Oscillations
- Mesoscopic Charge Relaxation
- Mesoscopic Capacitors: A Statistical Analysis
- Direct Observation of Josephson Capacitance
- Charge-Relaxation and Dwell Time in the fluctuating Admittance of a Chaotic Cavity
- Coulomb blockade of a noisy metallic box: A realization of Bose-Fermi Kondo models
- Investigation of the Mesoscopic Aharonov-Bohm effect in Low Magnetic Fields
Cited by in corpus (17)
- A Coherent RC Circuit
- Current noise spectrum of a single particle emitter: theory and experiment
- Quantum to Classical Transition of the Charge Relaxation Resistance of a Mesoscopic Capacitor
- Master Equations for Electron Transport: The Limits of the Markovian Limit
- Delayed currents and interaction effects in mesoscopic capacitors
- Time-dependent transport in open systems based on quantum master equations
- Fermi liquid approach to the quantum RC circuit: renormalization-group analysis of the Anderson and Coulomb blockade models
- Coulomb-blockade effect in nonlinear mesoscopic capacitors
- Noise spectra of an interacting quantum dot
- Cross-correlation of two interacting conductors
- From Anderson Localization to Mesoscopic Physics
- Role of coherence in resistance quantization
- Phase-Coherent Dynamics of Quantum Devices With Local Interactions
- Statistical properties of electrochemical capacitance in disordered mesoscopic capacitors
- Quantum capacitance: a microscopic derivation
- Current deformation and quantum inductance in mesoscopic capacitors
- Charge transport through weakly open one dimensional quantum wires