Electronic transport through a periodic array of quantum-dot rings |
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Authors: | Xue Hai-Bin Zhang Han-Yin Nie Yi-Hang Li Zhi-Jian and Liang Jiu-Qing |
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Institution: | Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 030006, China; Institute of Solid State Physics, Shanxi Datong University, Datong 037009, China |
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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. |
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Keywords: | quantum dots electronic transport antiresonance
transmission resonance transmission |
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