Mesoscopic Charge Relaxation

Abstract

We consider charge relaxation in the mesoscopic equivalent of an RC circuit. For a single-channel, spin-polarized contact, self-consistent scattering theory predicts a universal charge relaxation resistance equal to half a resistance quantum independent of the transmission properties of the contact. This prediction is in good agreement with recent experimental results. We use a tunneling Hamiltonian formalism and show in Hartree-Fock approximation, that at zero temperature the charge relaxation resistance is universal even in the presence of Coulomb blockade effects. We explore departures from universality as a function of temperature and magnetic field.

4 pages, 3 figures

References in corpus (15)

• Time-dependent transport in interacting and non-interacting mesoscopic systems
• Photon-assisted transport in semiconductor nanostructures
• Quantum Effects in Coulomb Blockade
• Violation of Kirchhoff's Laws for a Coherent RC Circuit
• Coulomb blockade at almost perfect transmission
• Current partition: Nonequilibrium Green's function Approach
• Phase coherent transmission through interacting mesoscopic systems
• Observation of quantum capacitance in the Cooper-pair transistor
• Charge Transfer Induced Persistent Current and Capacitance Oscillations
• Direct Observation of Josephson Capacitance
• Nonequilibrium theory of Coulomb blockade in open quantum dots
• Spin transitions in a small Si quantum dot
• Photon-Assisted Transport Through Ultrasmall Quantum Dots: Influence of Intradot Transitions
• Low temperature transport in AC-driven Quantum Dots in the Kondo regime
• Capacitance of a quantum dot from the channel-anisotropic two-channel Kondo model

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