Dynamic response of a mesoscopic capacitor in the presence of strong electron interactions

Abstract

We consider a one dimensional mesoscopic capacitor in the presence of strong electron interactions and compute its admittance in order to probe the universal nature of the relaxation resistance. We use a combination of perturbation theory, renormalization group arguments, and quantum Monte Carlo calculation to treat the whole parameter range of dot-lead coupling. The relaxation resistance is universal even in the presence of strong Coulomb blockade when the interactions in the wire are sufficiently weak. We predict and observe a quantum phase transition to an incoherent regime for a Luttinger parameter $K<1/2$. Results could be tested using a quantum dot coupled to an edge state in the fractional quantum Hall effect.

4 pages, 4 figures, submitted to PRB

References in corpus (6)

• Mesoscopic Charge Relaxation
• The relaxation time of a chiral quantum R-L circuit
• Quantum to Classical Transition of the Charge Relaxation Resistance of a Mesoscopic Capacitor
• A cluster algorithm for resistively shunted Josephson junctions
• Numerical study of transport through a single impurity in a spinful Tomonaga-Luttinger liquid
• Numerical study of the Coulomb blockade in an open quantum dot

Cited by in corpus (46)

• A Coherent RC Circuit
• Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
• Current noise spectrum of a single particle emitter: theory and experiment
• Electron quantum optics in quantum Hall edge channels
• Universal Resistances of the Quantum RC circuit
• Wigner time delay and related concepts -- Application to transport in coherent conductors
• Mesoscopic admittance of a double quantum dot
• Measuring the complex admittance of a carbon nanotube double quantum dot
• Cavity QED with hybrid nanocircuits: from atomic-like physics to condensed matter phenomena
• Time scales in the dynamics of an interacting quantum dot
• Sensitive radio-frequency measurements of a quantum dot by tuning to perfect impedance matching
• Driven dissipative dynamics and topology of quantum impurity systems
• Cavity photons as a probe for charge relaxation resistance and photon emission in a quantum dot coupled to normal and superconducting continua
• Tunable Hybrid Quantum Electrodynamics from Non-Linear Electron Transport
• Giant Charge Relaxation Resistance in the Anderson Model
• Quantum Dynamics of the Driven and Dissipative Rabi Model
• Many-body Correlation Effect on Mesoscopic Charge Relaxation
• Capacitance and charge relaxation resistance of chaotic cavities - Joint distribution of two linear statistics in the Laguerre ensemble of random matrices
• 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
• Gauge freedom in observables and Landsbergs nonadiabatic geometric phase: pumping spectroscopy of interacting open quantum systems
• Cavity quantum electrodynamics with an out-of-equilibrium quantum dot
• Strongly correlated dynamics in multichannel quantum RC circuits
• Numerical Renormalization Group at marginal spectral density: application to quantum tunneling in Luttinger liquids
• Coulomb-blockade effect in nonlinear mesoscopic capacitors
• The Interacting Mesoscopic Capacitor Out of Equilibrium
• Strongly-Correlated Thermoelectric Transport beyond Linear Response
• Probing dynamics of Majorana fermions in quantum impurity systems
• Capacitance of a resonant level coupled to Luttinger liquids
• Dynamical transport measurement of the Luttinger parameter in helical edges states of 2D topological insulators
• Admittance of the SU(2) and SU(4) Anderson quantum RC circuits
• Transient and Sharvin resistances of Luttinger liquids
• Entanglement entropy and quantum phase transitions in quantum dots coupled to Luttinger liquid wires
• Charge Resistance in a Majorana RC circuit
• Phase-Coherent Dynamics of Quantum Devices With Local Interactions
• A quantum magnetic RC circuit
• Anomalous Joule law in the adiabatic dynamics of a normal-superconductor quantum dot
• Work exchange, geometric magnetization and fluctuation-dissipation relations in a quantum dot under adiabatic magnetoelectric driving
• Current deformation and quantum inductance in mesoscopic capacitors
• Series expansion of the quantum admittance in mesoscopic systems
• Quantum phase transition of dynamical resistance in a mesoscopic capacitor
• Electron-photon coupling in Mesoscopic Quantum Electrodynamics
• Noise and Counting Statistics of a Single Electron Emitter: Theory
• Exact calculation of current correlations and admittance in the fractional quantum Hall regime