Abstract With the help of nonequilibrium Green's function technique, the electronic transport through series Aharonov--Bohm (AB) interferometers is investigated. We obtain the AB interference pattern of the transition probability characterized by the algebraic sum $\phi$ and the difference $\theta$ of two magnetic fluxes, and particularly a general rule of AB oscillation period depending on the ratio of integer quantum numbers of the fluxes. A parity effect is observed, showing the asymmetric AB oscillations with respect to the even and odd quantum numbers of the total flux in antiparallel AB interferometers. It is also shown that the AB flux can shift the Fano resonance peaks of the transmission spectrum.
Received: 19 October 2006
Revised: 15 January 2007
Accepted manuscript online:
Fund: Project supported by the
National Natural Science Foundation of China (Grant No~10475053).
Cite this article:
Wang Jian-Ming(王建明), Wang Rui (王瑞), Zhang Yong-Ping(张永平), and Liang Jiu-Qing(梁九卿) Quantum transport through two series Aharonov--Bohm interferometers with zero total magnetic flux 2007 Chinese Physics 16 2069
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