Issue
EPL
Volume 88, Number 3, November 2009
Article Number 37001
Number of page(s) 5
Section Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties
DOI http://dx.doi.org/10.1209/0295-5075/88/37001
Published online 19 November 2009
EPL, 88 (2009) 37001
DOI: 10.1209/0295-5075/88/37001

Magnetic field switching in parallel quantum dots

Feng Li1, Xin-Qi Li1, Wei-Min Zhang2, 3 and S. A. Gurvitz4

1   State Key Laboratory for Superlattices and Microstructures, Institute of Semiconductors, Chinese Academy of Sciences - P.O. Box 912, Beijing 100083, China
2   National Center for Theoretical Science - Tainan, Taiwan 70101, ROC
3   Department of Physics and Center for Quantum Information Science, National Cheng Kung University Tainan, Taiwan 70101, ROC
4   Department of Particle Physics, Weizmann Institute of Science - Rehovot 76100, Israel

Shmuel.Gurvitz@weizmann.ac.il

received 5 August 2009; accepted in final form 13 October 2009; published November 2009
published online 19 November 2009

Abstract
We show that the Coulomb blockade in parallel dots pierced by magnetic flux $\Phi $ completely blocks the resonant current for any value of $\Phi $ except for integer multiples of the flux quantum $\Phi _{0}$. This non-analytic (switching) dependence of the current on $\Phi $ arises only when the dot states that carry the current are of the same energy. The time needed to reach the steady state, however, diverges when $\Phi \rightarrow n\Phi _{0}$.

PACS
73.23.-b - Electronic transport in mesoscopic systems.
73.23.Hk - Coulomb blockade; single-elctron tunneling.
05.60.Gg - Quantum transport.

© EPLA 2009