Abstract
This paper focuses on modeling a disorder ensemble of quantum dots (QDs) as a special kind of Random Geometric Graphs (RGG) with weighted links. We compute any link weight as the overlap integral (or electron probability amplitude) between the QDs (=nodes) involved. This naturally leads to a weighted adjacency matrix, a Laplacian matrix, and a time evolution operator that have meaning in Quantum Mechanics. The model prohibits the existence of long-range links (shortcuts) between distant nodes because the electron cannot tunnel between two QDs that are too far away in the array. The spatial network generated by the proposed model captures inner properties of the QD system, which cannot be deduced from the simple interactions of their isolated components. It predicts the system quantum state, its time evolution, and the emergence of quantum transport when the network becomes connected.
Funder
Ministerio de Economia y Competitividad
Subject
General Materials Science,General Chemical Engineering
Reference130 articles.
1. Quantum Dots and Their Applications: What Lies Ahead?
2. Quantum Wells, Wires and Dots: Theoretical and Computational Physics of Semiconductor Nanostructures;Harrison,2016
3. Structural, Optical and Spectral Behaviour of InAs-based Quantum Dot Heterostructures: Applications for High-performance Infrared Photodetectors;Sengupta,2017
4. Self-Organized Quantum Dots for Memories: Electronic Properties and Carrier Dynamics;Nowozin,2013
5. Quantum confinement in group III–V semiconductor 2D nanostructures
Cited by
8 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献