Quantum inductance and negative electrochemical capacitance at finite frequency

Abstract

We report on theoretical investigations of frequency dependent quantum capacitance. It is found that at finite frequency a quantum capacitor can be characterized by a classical RLC circuit with three parameters: a static electrochemical capacitance, a charge relaxation resistance, and a quantum inductance. The quantum inductance is proportional to the characteristic time scale of electron dynamics and due to its existence, the time dependent current can accumulate a phase delay and becomes lagging behind the applied ac voltage, leading to a negative effective capacitance.

References in corpus (8)

• Spontaneous Emission Spectrum in Double Quantum Dot Devices
• Violation of Kirchhoff's Laws for a Coherent RC Circuit
• Current partition: Nonequilibrium Green's function Approach
• Detection of Quantum Noise from an Electrically-Driven Two-Level System
• Partial Densities of States, Scattering Matrices, and Green's Functions
• Mesoscopic Charge Relaxation
• Interaction Constants and Dynamic Conductance of a Gated Wire
• Weakly Nonlinear AC Response: Theory and Application

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• Kondo memory in driven strongly-correlated quantum dots
• Quantum dot admittance probed at microwave frequencies with an on-chip resonator
• Theoretical investigation of the dynamic electronic response of a quantum dot driven by time-dependent voltage
• Charge and spin dynamics in interacting quantum dots
• Accuracy of the quantum capacitor as a single-electron source
• Heat production and current noise for single- and double-cavity quantum capacitors
• Electron counting with a two-particle emitter
• Cavity photons as a probe for charge relaxation resistance and photon emission in a quantum dot coupled to normal and superconducting continua
• Dynamic thermoelectric and heat transport in mesoscopic capacitors
• Shaping charge excitations in chiral edge states with a time-dependent gate voltage
• Fermi liquid approach to the quantum RC circuit: renormalization-group analysis of the Anderson and Coulomb blockade models
• Subnanosecond single electron source in the time-domain
• Coulomb-blockade effect in nonlinear mesoscopic capacitors
• The Interacting Mesoscopic Capacitor Out of Equilibrium
• Quantum Inductance and High Frequency Oscillators in Graphene Nanoribbons
• Role of coherence in resistance quantization
• Statistical properties of electrochemical capacitance in disordered mesoscopic capacitors
• Current deformation and quantum inductance in mesoscopic capacitors
• Single-electron turnstile pumping with high frequencies
• Unified linear response theory of quantum electronic circuits
• Beats of the Magnetocapacitance Oscillations in Lateral Semiconductor Superlattices