Electronic transport through a periodic array of quantum-dot rings

doi:10.1088/1674-1056/19/4/047303

中国物理B ›› 2010, Vol. 19 ›› Issue (4): 47303-047303.doi: 10.1088/1674-1056/19/4/047303

Electronic transport through a periodic array of quantum-dot rings

薛海斌¹, 张瀚尹¹, 李志坚¹, 梁九卿¹, 聂一行²

(1)Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 030006, China; (2)Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 030006, China；Institute of Solid State Physics, Shanxi Datong University, Datong 037009, China

收稿日期:2009-06-01 修回日期:2009-07-22 出版日期:2010-04-15 发布日期:2010-04-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos.~10774094 and 10775091), National Fundamental Fund of Personnel Training (Grant No.~J0730317) and Natural Science Foundation of Shanxi Province of China (Grant No.~2009011001

Electronic transport through a periodic array of quantum-dot rings

Xue Hai-Bin(薛海斌)^a), Zhang Han-Yin(张瀚尹)^a), Nie Yi-Hang(聂一行)^a)b)†, Li Zhi-Jian(李志坚)^a), and Liang Jiu-Qing(梁九卿)^a)

^a Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 030006, China; ^b Institute of Solid State Physics, Shanxi Datong University, Datong 037009, China

Received:2009-06-01 Revised:2009-07-22 Online:2010-04-15 Published:2010-04-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos.~10774094 and 10775091), National Fundamental Fund of Personnel Training (Grant No.~J0730317) and Natural Science Foundation of Shanxi Province of China (Grant No.~2009011001

摘要/Abstract

摘要： Using the tight-binding approximation and the transfer matrix method, this paper studies the electronic transport properties through a periodic array of quantum-dot (QD) rings threaded by a magnetic flux. It demonstrates that the even--odd parity of the QD number in a single ring and the number of the QD rings in the array play a crucial role in the electron transmission. For a single QD ring, the resonance and antiresonance transmission depend not only on the applied magnetic flux but also on the difference between the number of QDs on the two arms of the ring. For an array of QD rings, the transmission properties are related not only to the even--odd parity of the number $N_{0}$ of QDs in the single ring but also to the even--odd parity of the ring number $N$ in the array. When the incident electron energy is aligned with the site energy, for the array of $N$ rings with $N_{0}={\rm odd}$ the antiresonance transmission cannot occur but the resonance transmission may occur and the transmission spectrum has $N$ resonance peaks ($N-1$ resonance peaks) in a period for $N={\rm odd}$ (for $N={\rm even}$). For the array of $N$ rings with $N_{0}={\rm even}$ the transmission properties depend on the flux threading the ring and the QD number on one arm of the ring. These results may be helpful in designing QD devices.

Abstract: Using the tight-binding approximation and the transfer matrix method, this paper studies the electronic transport properties through a periodic array of quantum-dot (QD) rings threaded by a magnetic flux. It demonstrates that the even--odd parity of the QD number in a single ring and the number of the QD rings in the array play a crucial role in the electron transmission. For a single QD ring, the resonance and antiresonance transmission depend not only on the applied magnetic flux but also on the difference between the number of QDs on the two arms of the ring. For an array of QD rings, the transmission properties are related not only to the even--odd parity of the number $N_{0}$ of QDs in the single ring but also to the even--odd parity of the ring number $N$ in the array. When the incident electron energy is aligned with the site energy, for the array of $N$ rings with $N_{0}={\rm odd}$ the antiresonance transmission cannot occur but the resonance transmission may occur and the transmission spectrum has $N$ resonance peaks ($N-1$ resonance peaks) in a period for $N={\rm odd}$ (for $N={\rm even}$). For the array of $N$ rings with $N_{0}={\rm even}$ the transmission properties depend on the flux threading the ring and the QD number on one arm of the ring. These results may be helpful in designing QD devices.

Key words: quantum dots, electronic transport, antiresonance transmission, resonance transmission

中图分类号: (Coulomb blockade; single-electron tunneling)

73.23.Hk

73.21.La (Quantum dots) 73.63.Kv (Quantum dots)

薛海斌, 张瀚尹, 聂一行, 李志坚, 梁九卿. Electronic transport through a periodic array of quantum-dot rings[J]. 中国物理B, 2010, 19(4): 47303-047303.

Xue Hai-Bin(薛海斌), Zhang Han-Yin(张瀚尹), Nie Yi-Hang(聂一行), Li Zhi-Jian(李志坚), and Liang Jiu-Qing(梁九卿). Electronic transport through a periodic array of quantum-dot rings[J]. Chin. Phys. B, 2010, 19(4): 47303-047303.

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Electronic transport through a periodic array of quantum-dot rings

Electronic transport through a periodic array of quantum-dot rings

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