Machine learning magnetism classifiers from atomic coordinates
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Published version
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Author(s) • • • • • • • • •
Merker, Helena A
Heiberger, Harry
Nguyen, Linh
Liu, Tongtong
Chen, Zhantao
Andrejevic, Nina
Drucker, Nathan C
Okabe, Ryotaro
Kim, Song Eun
Wang, Yao
Date Issued
2022
Journal
iScience
Publisher
Elsevier BV
Citation
Merker, Helena A, Heiberger, Harry, Nguyen, Linh, Liu, Tongtong, Chen, Zhantao et al. 2022. "Machine learning magnetism classifiers from atomic coordinates." iScience, 25 (10).
Version
Final published version
Abstract
The determination of magnetic structure poses a long-standing challenge in condensed matter physics and materials science. Experimental techniques such as neutron diffraction are resource-limited and require complex structure refinement protocols, while computational approaches such as first-principles density functional theory (DFT) need additional semi-empirical correction, and reliable prediction is still largely limited to collinear magnetism. Here, we present a machine learning model that aims to classify the magnetic structure by inputting atomic coordinates containing transition metal and rare earth elements. By building a Euclidean equivariant neural network that preserves the crystallographic symmetry, the magnetic structure (ferromagnetic, antiferromagnetic, and non-magnetic) and magnetic propagation vector (zero or non-zero) can be predicted with an average accuracy of 77.8% and 73.6%. In particular, a 91% accuracy is reached when predicting no magnetic ordering even if the structure contains magnetic element(s). Our work represents one step forward to solving the grand challenge of full magnetic structure determination.
MIT Department
Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
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Creative Commons Attribution-NonCommercial-NoDerivs License
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DOI of Published Version
https://doi.org/10.1016/J.ISCI.2022.105192