Pumping at resonant transmission and transferred charge quantization

Abstract

We consider pumping through a small quantum dot separated from the leads by two point contacts, whose conductances, $G_1$ and $G_2$, serve as pumping parameters. When the dot is pincched, we find that there is a "resonance line" in the parameter plane $\{G_1,G_2\}$ along which the Fermi energy in the leads aligns with the energy of the quasi-bound state in the quantum dot. When $G_1$ and $G_2$ are modulated periodically and adiabatically such that the pumping contour defined by $G_1=G_1(t)$ and $G_2=G_2(t)$ encircles the resonance line, the current is quantized: the charge pumped through the dot during each period of the modulation is close to a single electronic charge.

4 pages, LaTex

References in corpus (4)

• An Adiabatic Quantum Electron Pump
• Mesoscopic Fluctuations of Adiabatic Charge Pumping in Quantum Dots
• Acoustoelectric current and pumping in a ballistic quantum point contact
• Proposal For A Quantum Hall Pump

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