Diagrammatic real-time approach to adiabatic pumping through metallic single-electron devices

Abstract

We present a real-time diagrammatic formalism to study adiabatic pumping in chains of tunnel-coupled metallic islands. This approach is based on an expansion to linear order in the frequency of the time-dependent parameters and on a systematic perturbation expansion in the tunnel-coupling strength. We apply our formalism to a single-island and a double-island system. In the single-island setup, we find that the first-order contribution in the tunnel-coupling strength is purely due to the renormalization of the charging-energy gap. In the double-island system, we investigate the transition between weak and strong pumping.

published version, 13 pages, 11 figures

References in corpus (24)

• Scattering approach to parametric pumping
• Resonant tunneling through ultrasmall quantum dots: zero-bias anomalies, magnetic field dependence, and boson-assisted transport
• Experimental Realization of a Quantum Spin Pump
• Zero-bias anomalies and boson-assisted tunneling through quantum dots
• Mesoscopic mechanism of adiabatic charge transport
• Dissipation and noise in adiabatic quantum pumps
• Adiabatic charge pumping in almost open dots
• Adiabatic transport in nanostructures
• Counting statistics for arbitrary cycles in quantum pumps
• AC-driven double quantum dots as spin pumps and spin filters
• Adiabatic pumping through interacting quantum dots
• Adiabatic pumping through a quantum dot with coulomb interactions: A perturbation expansion in the tunnel coupling
• Effect of inelastic scattering on parametric pumping
• Robust single-parameter quantized charge pumping
• Pumping in an interacting quantum wire
• Nonequilibrium theory of Coulomb blockade in open quantum dots
• Quantized charge transport through a static quantum dot using a surface acoustic wave
• Charge pumping in carbon nanotube quantum dots
• Adiabatic charge and spin pumping through quantum dots with ferromagnetic leads
• Quantized charge pumping through a quantum dot by surface acoustic waves
• Adiabatic Pumping in Interacting Systems
• Non adiabatic features of electron pumping through a quantum dot in the Kondo regime
• Adiabatic pumping in the mixed-valence and Kondo regimes
• Phase coherence, inelastic scattering, and interaction corrections in pumping through quantum dots

Cited by in corpus (14)

• Charge transport through single molecules, quantum dots, and quantum wires
• Charge and spin pumping through a double quantum dot
• Heat, molecular vibrations, and adiabatic driving in non-equilibrium transport through interacting quantum dots
• Adiabatic Charge Pumping through Quantum Dots in the Coulomb Blockade Regime
• Interaction-induced charge and spin pumping through a quantum dot at finite bias
• Interaction effect on adiabatic pump of charge and spin in quantum dot
• Gauge freedom in observables and Landsbergs nonadiabatic geometric phase: pumping spectroscopy of interacting open quantum systems
• Zero-frequency noise in adiabatically driven, interacting quantum systems
• Theory of spin pumping through an interacting quantum dot tunnel coupled to a ferromagnet with time-dependent magnetization
• ac-dc voltage profile and four point impedance of a quantum driven system
• Role of coherence in quantum-dot-based nanomachines within the Coulomb blockade regime
• Pumped shot noise in adiabatically modulated graphene-based double-barrier structures
• Memory effects in adiabatic quantum pumping with parasitic nonlinear dynamics
• Parasitic pumping currents in an interacting quantum dot