Quantum transport in a chain of quantum dots with inhomogeneous size distribution and manifestation of 1D Anderson localization

Abstract

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 σε is a Lorentzian function of variable Nσε2. With these analytical expressions, we can predict the conductance and fidelity of any QDC characterized by (N, σε). Our results can provide a guideline for combining the chain length and QD size distributions for high-mobility electron transport in 1D QDCs.

Electronic-, Optical-, and Temperature-Dependent Carrier Mobility Simulations of Perovskite-Type Liganded PbS Quantum Dot Array

“…Carrier transport properties of QD arrays were theoretically studied under various idealized situations, which are different from the focus of this study. For example, Green's functions were calculated for noninteracting systems or small interacting systems, but realistic phonon simulations were not included in these studies [15,16]. The electronic, optical, and transport properties of PbS QD array are calculated using semiclassical Boltzmann equation for carrier transport [17].…”

Dual current anomalies and quantum transport within extended reservoir simulations

“…The accurate simulation of many-body transport is essential for understanding nanoscale electronics and quantum dots [1][2][3], quantum dynamics and control [4][5][6][7], spintronic phenomena [8][9][10], and the development of "atomtronic" platforms for physical simulation [11][12][13][14][15][16][17][18][19][20]. In pursuit of this, a number of developments are paving the way toward rigorous, controlled numerical simulations of many-body transport through impurities.…”