Pumping at resonant transmission and transferred charge quantization

Y. Levinson; O. Entin-Wohlman; P. Wölfle

doi:10.1016/S0378-4371(01)00451-4

Pumping at resonant transmission and transferred charge quantization

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

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Conference article › peer-review

Abstract

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 language	English
Pages (from-to)	335-344
Number of pages	10
Journal	Physica A: Statistical Mechanics and its Applications
Volume	302
Issue number	1-4
DOIs	https://doi.org/10.1016/S0378-4371(01)00451-4
State	Published - 15 Dec 2001
Event	International Workshop on Frontiers in the Physics of Complex Systems - Ramat-Gan, Israel Duration: 25 Mar 2001 → 28 Mar 2001

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title = "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, 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.",

author = "Y. Levinson and O. Entin-Wohlman and P. W{\"o}lfle",

note = "Funding Information: This work was supported by the Alexander von Humboldt Foundation (Y.L.), the Israel Academy of Sciences, the Israeli Ministry of Science and the French Ministry of Research and Technology, AFIRST (Y.L. and O.E.-W), the German–Israeli Foundation and the Deutsche Forschungsgemeinschaft (P.W.). We acknowledge helpful discussions with I. Ussishkin.; null ; Conference date: 25-03-2001 Through 28-03-2001",

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doi = "10.1016/S0378-4371(01)00451-4",

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AU - Entin-Wohlman, O.

AU - Wölfle, P.

N1 - Funding Information: This work was supported by the Alexander von Humboldt Foundation (Y.L.), the Israel Academy of Sciences, the Israeli Ministry of Science and the French Ministry of Research and Technology, AFIRST (Y.L. and O.E.-W), the German–Israeli Foundation and the Deutsche Forschungsgemeinschaft (P.W.). We acknowledge helpful discussions with I. Ussishkin.

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N2 - 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.

AB - 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.

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IS - 1-4

Y2 - 25 March 2001 through 28 March 2001

ER -

Pumping at resonant transmission and transferred charge quantization

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