Aharonov-Bohm oscillations in coupled quantum dots: Effect of electron-electron interactions

Details Aharonov-Bohm oscillations in coupled quantum dots: Effect of electron-electron interactions Aharonov-Bohm oscillations in coupled quantum dots: Effect of electron-electron interactions

2009-04-20

arxiv.org/abs/0904.2983v1

Phys. Rev. B 79, 115302 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 6 figures

Scientific paper

10.1103/PhysRevB.79.115302

We theoretically analyze the effect of electron-electron interactions on Aharonov-Bohm (AB) current oscillations in ring-shaped systems with metallic quantum dots pierced by external magnetic field. We demonstrate that electron-electron interactions suppress the amplitude of AB oscillations $I_{AB}$ at all temperatures down to T=0 and formulate quantitative predictions which can be verified in future experiments. We argue that the main physical reason for such interaction-induced suppression of $I_{AB}$ is electron dephasing while Coulomb blockade effects remain insignificant in the case of metallic quantum dots considered here. We also emphasize a direct relation between our results and the so-called $P(E)$-theory describing tunneling of interacting electrons.

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