Abstract
Magnetic materials are important basic materials in the information age. Different magnetic ground states are the prerequisite for the wide application of magnetic materials, among which the ferromagnetic ground state is a key requirement for future high-performance magnetic materials. In this paper, machine learning is used to study the classification of ferromagnetic, antiferromagnetic, ferrimagnetic and paramagnetic ground states of inorganic magnetic materials and the prediction of magnetic moments of inorganic ferromagnetic materials. We obtain 98888 inorganic magnetic materials data from the Materials Project database, containing material ids, chemical formulae, CIF files, magnetic ground states and magnetic moments, and extract 582 elemental and structural features for the inorganic magnetic materials by using Matminer. We design a two-step feature selection method. In the first step, RFECV is used to evaluate material features one by one to remove redundant features without degrading the model accuracy. In the second step, we rank the material features to further refine and select the most important material features for the model, and 20 material features are selected for the classification of magnetic ground states and the prediction of magnetic moments, respectively. Among the selected material features, it is found that the electronegativity, the atomic own magnetic moment and the number of unfilled electrons in the atomic peripheral orbitals all make important contributions to the classification of magnetic ground states and the prediction of magnetic moments. We build a magnetic ground state classification model and a magnetic moment prediction model by using the random forest, and quantitatively evaluate the machine learning models by using the 10-fold cross-validation approach, and the results show that the constructed machine learning models has sufficient accuracy and generalization capability. In the test set, the magnetic ground state classification model has an accuracy of 85.23%, a precision of 85.18%, a recall of 85.04%, and an F1 score of 85.24%; the magnetic moment prediction model has a goodness-of-fit of 91.58% and an average absolute error of 0.098 μ<sub>B</sub> per atom. This study provides a new method and choice for high-throughput classification and screening of magnetic ground states of inorganic magnetic materials and predicting the magnetic moment of ferromagnetic materials.
Highlights
We build a magnetic ground state classification model and a magnetic moment prediction model by using the random forest, and quantitatively evaluate the machine learning models by using the 10-fold cross-validation approach, and the results show that the constructed machine learning models has sufficient accuracy and generalization capability
This study provides a new method and choice for high-throughput classification and screening of magnetic ground states of inorganic magnetic materials and predicting the magnetic moment of ferromagnetic materials
Quantitative evaluation of the magnetic moment prediction model in this study and in comparison with other works
Summary
基于波动与扩散物理系统的机器学习 Machine learning based on wave and diffusion physical systems 物理学报. 铅基钙钛矿铁电晶体高临界转变温度的机器学习研究 High critical transition temperature of lead-based perovskite ferroelectric crystals: A machine learning study 物理学报. 机器学习辅助绝热量子算法设计 Machine learning assisted quantum adiabatic algorithm design 物理学报. 在测试检验中, 磁性基态分类模型的准确率为 85.23%, 精确率为 85.18%, 召回率为 85.04%, F1 分数为 85.24%; 磁矩预测模型的拟合优度为 91.58%, 平均绝对误差为 0.098 μB/atom. 多年来, 通过 DFT 计算产生了一些大型材料数据库, 如无机晶体结构 数据库 [12]、开放量子材料数据库 [13] 和材料项目 数据库 [14] 等.
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