Quantum transport in a chain of quantum dots with inhomogeneous size distribution and manifestation of 1D Anderson localization
SCIENTIFIC REPORTS(2020)
摘要
The effect of inhomogeneous quantum dot (QD) size distribution on the electronic transport of one-dimensional (1D) QD chains (QDCs) is theoretically investigated. The non-equilibrium Green function method is employed to compute the electron transmission probabilities of QDCs. The ensemble averaged transmission probability shows a close agreement with the conductivity equation predicted by Anderson et al. for a disordered electronic system. The fidelity of quantum transport is defined as the transmission performance of an ensemble of QDCs of length N ( N -QDCs) to assess the robustness of QDCs as a practical electronic device. We found that the fidelity of inhomogeneous N -QDCs with the standard deviation of energy level distribution σ ε is a Lorentzian function of variable Nσ ε 2 . With these analytical expressions, we can predict the conductance and fidelity of any QDC characterized by ( N , σ ε ). Our results can provide a guideline for combining the chain length and QD size distributions for high-mobility electron transport in 1D QDCs.
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关键词
Applied physics,Electronic properties and materials,Quantum dots,Science,Humanities and Social Sciences,multidisciplinary
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