Strongly correlated dynamics in multichannel quantum RC circuits

Abstract

We examine dissipation effects in a multichannel quantum RC circuit, comprising a cavity or single-electron box capacitively coupled to a gate and connected to a reservoir lead via several conducting channels. Depending on the engineering details of the quantum RC circuit, the number of channels contributing to transport vary, as do the form of the interchannel couplings. For low-frequency AC transport, the charge-relaxation resistance ($R_q$) is a nontrivial function of the parameters of the system. However, in the vicinity of the charge degeneracy points and for weak tunneling, we find as a result of cross-mode mixing or channel asymmetry that $R_q$ becomes universal for a metallic cavity at low temperatures, and equals the unit of quantum resistance. To prove this universality we map the system to an effective one-channel Kondo model, and construct an analogy with the Coulomb gas. Next, we probe the opposite regime of near-perfect transmission using a bosonization approach. Focussing on the two-channel case, we study the effect of backscattering at the lead-dot interface, more specifically, the role of an asymmetry in the backscattering amplitudes, and make a connection with the weak tunneling regime near the charge degeneracy points.

17 pages, 2 figures

References in corpus (46)

• An On-Demand Coherent Single Electron Source
• Quantum Effects in Coulomb Blockade
• Violation of Kirchhoff's Laws for a Coherent RC Circuit
• Coulomb blockade at almost perfect transmission
• Quantum Point Contacts
• Overscreened multi-channel SU(N) Kondo model : large-N solution and Conformal Field Theory
• Mesoscopic Charge Relaxation
• Pedestrian Approach to the Two-Channel Kondo Model
• A Coherent RC Circuit
• Electron quantum optics in quantum Hall edge channels
• Universal Resistances of the Quantum RC circuit
• Fermi and Non-Fermi behavior in the anisotropic Multichannel Kondo Model -- Bethe Ansatz solution
• Observation of Quantum Fluctuations of Charge on a Quantum Dot
• Mesoscopic admittance of a double quantum dot
• On the Emery-Kivelson Solution of the two channel Kondo problem
• Coulomb blockade oscillations of conductance in the regime of strong tunneling
• Dynamic response of a mesoscopic capacitor in the presence of strong electron interactions
• Quantum dot admittance probed at microwave frequencies with an on-chip resonator
• Charge and spin dynamics in interacting quantum dots
• Coulomb Blockade Oscillations in the Thermopower of Open Quantum Dots
• The Single-Electron-Box and the Helicity Modulus of an inverse square XY-Model
• Zero--Bias Anomaly in Finite Size Systems
• Strong Charge Fluctuations in the Single-Electron Box: A Quantum Monte Carlo Analysis
• Energy-resolved inelastic electron scattering off a magnetic impurity
• Giant Charge Relaxation Resistance in the Anderson Model
• Spin-charge separation and Kondo effect in an open quantum dot
• Many-body Correlation Effect on Mesoscopic Charge Relaxation
• Capacitance of a quantum dot from the channel-anisotropic two-channel Kondo model
• Delayed currents and interaction effects in mesoscopic capacitors
• The Coulomb Blockade in Quantum Boxes
• Integrable Circular Brane Model and Coulomb Charging at Large Conduction
• Simple description of the anisotropic two-channel Kondo problem
• Coulomb Blockade in an Open Quantum Dot
• Fermi liquid approach to the quantum RC circuit: renormalization-group analysis of the Anderson and Coulomb blockade models
• Nonlinear adiabatic response of interacting quantum dots
• Charge relaxation resistance in the Coulomb blockade problem
• Two-loop approximation in the Coulomb blockade problem
• Noninvasive Probe of Charge Fractionalization in Quantum Spin-Hall Insulators
• Universal scaling behavior of the single electron box in the strong tunneling limit
• Rings and boxes in dissipative environments
• Zeeman smearing of the Coulomb blockade
• Transport in a Dissipative Luttinger Liquid
• Charge Resistance in a Majorana RC circuit
• Role of coherence in resistance quantization
• Kondo Temperature in Multilevel Quantum Dots
• Rings and Coulomb boxes in dissipative environments

Cited by in corpus (16)

• Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
• Wigner time delay and related concepts -- Application to transport in coherent conductors
• Tunability of microwave transitions as a signature of coherent parity mixing effects in the Majorana-Transmon qubit
• Driven dissipative dynamics and topology of quantum impurity systems
• Tunable Hybrid Quantum Electrodynamics from Non-Linear Electron Transport
• Quantum Dynamics of the Driven and Dissipative Rabi Model
• Cavity quantum electrodynamics with an out-of-equilibrium quantum dot
• Coulomb-blockade effect in nonlinear mesoscopic capacitors
• The Interacting Mesoscopic Capacitor Out of Equilibrium
• Probing dynamics of Majorana fermions in quantum impurity systems
• Admittance of the SU(2) and SU(4) Anderson quantum RC circuits
• Phase-Coherent Dynamics of Quantum Devices With Local Interactions
• Work exchange, geometric magnetization and fluctuation-dissipation relations in a quantum dot under adiabatic magnetoelectric driving
• Anomalous Joule law in the adiabatic dynamics of a normal-superconductor quantum dot
• Charge relaxation resistance in the cotunneling regime of multi-channel Coulomb blockade: Violation of Korringa-Shiba relation
• Evidence for undamped waves on ohmic materials