ArticleNanomaterials (Basel, Switzerland)2021
Modeling Quantum Dot Systems as Random Geometric Graphs with Probability Amplitude-Based Weighted Links.
Article in Nanomaterials (Basel, Switzerland), 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Carrier Transport in Colloidal Quantum Dot Intermediate Band Solar Cell Materials Using Network Science.International journal of molecular sciences · 2023Article
- Organic Disordered Semiconductors as Networks Embedded in Space and Energy.Nanomaterials (Basel, Switzerland) · 2022Article
- Approaching Disordered Quantum Dot Systems by Complex Networks with Spatial and Physical-Based Constraints.Nanomaterials (Basel, Switzerland) · 2021Article
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Authors and funding
2 authors.
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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.
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Registered trials
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