Quantized adiabatic quantum pumping due to interference

Ora Entin-Wohlman*, Amnon Aharony, Vyacheslavs KashCheyevs

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


Recent theoretical calculations, demonstrating that quantized charge transfer due to adia- batically modulated potentials in mesoscopic devices can result purely from the interference of the electron wave functions (without invoking electron-electron interactions) are reviewed: (1) Anew formula is derived for the pumped charge Q (per period); It reproduces the Brouwer formula without a bias, and also yields the effect of the modulating potential on the Landauer formula in the presence of a bias. (2) For a turnstile geometry, with time-dependent gate voltages VL(t) and the magnitude and sign of Q are determined by the relative position and orientation of the closed contour traversed by the system in the {VL - VR} plane, relative to the transmission resonances in that plane. Integer values of Q (in units of e) are achieved when a transmission peak falls inside the contour, and are given by the winding number of the contour. (3) When the modulating potential is due to surface acoustic waves, Q exhibits a staircase structure, with integer values, reminiscent of experimental observations.

Original languageEnglish
Pages (from-to)77-82
Number of pages6
JournalJournal of the Physical Society of Japan
Issue numberSUPPL. A
StatePublished - 2003


  • Interference in nanostructures
  • Quantum pumping
  • Resonant transmission
  • Surface acoustic waves


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