中国物理B ›› 2007, Vol. 16 ›› Issue (7): 2069-2074.doi: 10.1088/1009-1963/16/7/044

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Quantum transport through two series Aharonov--Bohm interferometers with zero total magnetic flux

王建明, 王瑞, 张永平, 梁九卿   

  1. Department of Physics and Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China
  • 收稿日期:2006-10-19 修回日期:2007-01-15 出版日期:2007-07-20 发布日期:2007-07-04
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No~10475053).

Quantum transport through two series Aharonov--Bohm interferometers with zero total magnetic flux

Wang Jian-Ming(王建明)†, Wang Rui (王瑞), Zhang Yong-Ping(张永平), and Liang Jiu-Qing(梁九卿)   

  1. Department of Physics and Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China
  • Received:2006-10-19 Revised:2007-01-15 Online:2007-07-20 Published:2007-07-04
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No~10475053).

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摘要： 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.

关键词: Aharonov--Bohm interferometer, difference of magnetic fluxes, Fano effect

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.

Key words: Aharonov--Bohm interferometer, difference of magnetic fluxes, Fano effect

中图分类号:  (Quantum dots)

  • 73.21.La
72.25.-b (Spin polarized transport) 79.60.Jv (Interfaces; heterostructures; nanostructures)