Scalable Machine Learning Models for Predicting Quantum Transport in Disordered 2D Hexagonal Materials

Fuente: arXiv
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Autori principali: Mastoor, Seyed Mahdi, Kordbacheh, Amirhossein Ahmadkhan
Natura: Preprint
Pubblicazione: 2025
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author Mastoor, Seyed Mahdi
Kordbacheh, Amirhossein Ahmadkhan
author_facet Mastoor, Seyed Mahdi
Kordbacheh, Amirhossein Ahmadkhan
contents We introduce scalable machine learning models to accurately predict two key quantum transport properties, the transmission coefficient T(E) and average local density of states (Average-LDOS) in two-dimensional (2D) hexagonal materials with magnetic disorder. Using a tight binding Hamiltonian combined with the Non-Equilibrium Green's Function (NEGF) formalism, we generate a large dataset of over 400,000 unique configurations across graphene, germanene, silicene, and stanene nanoribbons with varying geometries, impurity concentrations, and energy levels. A central contribution of this work is the development of a geometrydriven, physically interpretable feature space that enables the models to generalize across material types and device sizes. Random Forest regression and classification models are evaluated in terms of accuracy, stability, and extrapolation ability. Regression consistently outperforms classification in capturing continuous transport behavior on in-domain data. However, extrapolation performance degrades significantly, revealing the limitations of tree-based models in unseen regimes. This study highlights both the potential and constraints of scalable ML models for quantum transport prediction and motivates future research into physics-informed or graph-based learning architectures for improved generalization in spintronic and nanoelectronic device design.
format Preprint
id arxiv_https___arxiv_org_abs_2506_07983
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Scalable Machine Learning Models for Predicting Quantum Transport in Disordered 2D Hexagonal Materials
Mastoor, Seyed Mahdi
Kordbacheh, Amirhossein Ahmadkhan
Mesoscale and Nanoscale Physics
Materials Science
Computational Physics
We introduce scalable machine learning models to accurately predict two key quantum transport properties, the transmission coefficient T(E) and average local density of states (Average-LDOS) in two-dimensional (2D) hexagonal materials with magnetic disorder. Using a tight binding Hamiltonian combined with the Non-Equilibrium Green's Function (NEGF) formalism, we generate a large dataset of over 400,000 unique configurations across graphene, germanene, silicene, and stanene nanoribbons with varying geometries, impurity concentrations, and energy levels. A central contribution of this work is the development of a geometrydriven, physically interpretable feature space that enables the models to generalize across material types and device sizes. Random Forest regression and classification models are evaluated in terms of accuracy, stability, and extrapolation ability. Regression consistently outperforms classification in capturing continuous transport behavior on in-domain data. However, extrapolation performance degrades significantly, revealing the limitations of tree-based models in unseen regimes. This study highlights both the potential and constraints of scalable ML models for quantum transport prediction and motivates future research into physics-informed or graph-based learning architectures for improved generalization in spintronic and nanoelectronic device design.
title Scalable Machine Learning Models for Predicting Quantum Transport in Disordered 2D Hexagonal Materials
topic Mesoscale and Nanoscale Physics
Materials Science
Computational Physics
url https://arxiv.org/abs/2506.07983