TY - JOUR

T1 - Quantized adiabatic quantum pumping due to interference

AU - Entin-Wohlman, Ora

AU - Aharony, Amnon

AU - KashCheyevs, Vyacheslavs

PY - 2003

Y1 - 2003

N2 - 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.

AB - 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.

KW - Interference in nanostructures

KW - Quantum pumping

KW - Resonant transmission

KW - Surface acoustic waves

UR - http://www.scopus.com/inward/record.url?scp=3042782658&partnerID=8YFLogxK

U2 - 10.1143/JPSJS.72SA.77

DO - 10.1143/JPSJS.72SA.77

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AN - SCOPUS:3042782658

SN - 0031-9015

VL - 72

SP - 77

EP - 82

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

IS - SUPPL. A

ER -