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Main Authors: Yuan, Wei-Zhe, Guo, Yangyu, Yi, Hong-Liang
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2504.17464
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author Yuan, Wei-Zhe
Guo, Yangyu
Yi, Hong-Liang
author_facet Yuan, Wei-Zhe
Guo, Yangyu
Yi, Hong-Liang
contents Accurate prediction of infrared dielectric functions in polar materials is fundamental for thermal and photonic applications, yet it remains unexplored whether the two main methods, Green-Kubo formula and Lorentz model, can give unified predictions. In this work, we present a detailed comparison of these two approaches using MgO and LiH as prototypical cases employing both empirical rigid ion model (RIM) and machine learning potential (MLP). We demonstrate that the conventional Lorentz model fails to capture the multi-phonon absorption inherent in Green-Kubo method, which can be resolved via using the phonon self-energy as a generalization of the usual linewidth. In addition, with RIM, a correction factor is required in the ionic contribution to infrared response to account for the electronic polarization effect, which is yet captured by MLP using the Born effective charges for calculating dipole moment. The present benchmark study thus enables cross-validation of dielectric function calculations while providing mechanistic insights into the polarization dynamics.
format Preprint
id arxiv_https___arxiv_org_abs_2504_17464
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Consistency between the Green-Kubo formula and Lorentz model for predicting the infrared dielectric function of polar materials
Yuan, Wei-Zhe
Guo, Yangyu
Yi, Hong-Liang
Mesoscale and Nanoscale Physics
Accurate prediction of infrared dielectric functions in polar materials is fundamental for thermal and photonic applications, yet it remains unexplored whether the two main methods, Green-Kubo formula and Lorentz model, can give unified predictions. In this work, we present a detailed comparison of these two approaches using MgO and LiH as prototypical cases employing both empirical rigid ion model (RIM) and machine learning potential (MLP). We demonstrate that the conventional Lorentz model fails to capture the multi-phonon absorption inherent in Green-Kubo method, which can be resolved via using the phonon self-energy as a generalization of the usual linewidth. In addition, with RIM, a correction factor is required in the ionic contribution to infrared response to account for the electronic polarization effect, which is yet captured by MLP using the Born effective charges for calculating dipole moment. The present benchmark study thus enables cross-validation of dielectric function calculations while providing mechanistic insights into the polarization dynamics.
title Consistency between the Green-Kubo formula and Lorentz model for predicting the infrared dielectric function of polar materials
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2504.17464