Transport and Localization in Quantum Dot Chains with Fluctuations: A Simple Probabilistic Model

In this study, we obtain an expression to calculate the probability of electron transmission in a linear chain of N quantum dots with fluctuations of the potential levels on the Fermi seas of each point. Here, the transmission probability model is based on concepts of Probability Theory. From this expression, we determine the transmission in the chain under these fluctuations. Besides, Anderson localization and other transport properties were studied using numerical simulations. Results show the impact of fluctuations on transmission efficiency and aid in comprehensively understanding electron transport in quantum dot systems.