Charge pumping and noise in a one-dimensional wire with weak electron-electron interactions

Abstract

We consider the adiabatic pumping of charge through a mesoscopic one dimensional wire in the presence of electron-electron interactions. A two-delta potential model is used to describe the wire, which allows to obtain exactly the scattering matrix coefficients, which are renormalized by the interactions. Two periodic drives, shifted one from another, are applied at two locations of the wire in order to drive a current through it in the absence of bias. Analytical expressions are obtained for the pumped charge, current noise, and Fano factor in different regimes. This allows to explore pumping for the whole parameter range of pumping strengths. We show that, working close to a resonance is necessary to have a comfortable window of pumping amplitudes where charge quantization is close to the optimum value: a single electron charge is transferred in one cycle. Interactions can improve the situation, the charge $Q$ is closer to one electron charge and noise is reduced, following a $Q(1-Q)$ behavior, reminiscent of the reduction of noise in quantum wires by $T(1-T)$, where $T$ is the energy transmission coefficient. For large pumping amplitudes, this charge vanishes, noise also decreases but slower than the charge.

References in corpus (16)

• Scattering approach to parametric pumping
• An Adiabatic Quantum Electron Pump
• Tunneling in One-Dimensional non-Luttinger Electron Liquid
• Dissipation and noise in adiabatic quantum pumps
• Partial Densities of States, Scattering Matrices, and Green's Functions
• Optimal Quantum Pumps
• Adiabatic pumping through interacting quantum dots
• Quantum pump for spin and charge transport in a Luttinger liquid
• Junction of several weakly interacting quantum wires: a renormalization group study
• Counting Statistics of an Adiabatic Pump
• Pumping at resonant transmission and transferred charge quantization
• Floquet scattering theory for current and heat noise in large amplitude adiabatic pumps
• Transport and Dissipation in Quantum Pumps
• Quantized adiabatic charge pumping and resonant transmission
• Noise through Quantum Pumps
• Effects of interaction on an adiabatic quantum electron pump

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• Fano resonance in the nonadiabatic pumped shot noise of a time-dependent potential well
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