Pumping at resonant transmission and transferred charge quantization

Y. Levinson*, O. Entin-Wohlman, P. Wölfle

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

79 Scopus citations


We consider pumping through a small quantum dot separated from the leads by two point contacts, whose conductances, G1 and G2, serve as pumping parameters. When the dot is pinched, i.e., G1, G2 ≪ e2/h, we find that there is a "resonance line" in the parameter plane {G1, G2} along which the Fermi energy in the leads aligns with the energy of the quasi-bound state in the quantum dot. When G1 and G2 are modulated periodically and adiabatically such that the pumping contour defined by G1 = G1(t) and G2 = G2(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.

Original languageEnglish
Pages (from-to)335-344
Number of pages10
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1-4
StatePublished - 15 Dec 2001
EventInternational Workshop on Frontiers in the Physics of Complex Systems - Ramat-Gan, Israel
Duration: 25 Mar 200128 Mar 2001


FundersFunder number
French Ministry of Research and Technology
Israeli Ministry of Science
Alexander von Humboldt-Stiftung
Academy of Leisure Sciences
Deutsche Forschungsgemeinschaft
German-Israeli Foundation for Scientific Research and Development


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