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Thermally Averaged Magnetic Anisotropy Tensors via Machine Learning Based on Gaussian Moments

arXiv 2312.01415 ↗First posted 3 Dec 2023physics.comp-ph cond-mat.mtrl-sci stat.MLcited by 0

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Abstract (arXiv)

We propose a machine learning method to model molecular tensorial quantities, namely the magnetic anisotropy tensor, based on the Gaussian-moment neural-network approach. We demonstrate that the proposed methodology can achieve an accuracy of 0.3--0.4 cm-1 and has excellent generalization capability for out-of-sample configurations. Moreover, in combination with machine-learned interatomic potential energies based on Gaussian moments, our approach can be applied to study the dynamic behavior of magnetic anisotropy tensors and provide a unique insight into spin-phonon relaxation.

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References · 10

  1. 2016Gaussian Error Linear Units (GELUs)cited by 3,431
  2. 2018Neural Tangent Kernel: Convergence and Generalization in Neural Networkscited by 2,597
  3. 2017Sigmoid-Weighted Linear Units for Neural Network Function Approximation in Reinforcement Learningcited by 935
  4. 2017Self-Normalizing Neural Networkscited by 591
  5. 2019On Exact Computation with an Infinitely Wide Neural Netcited by 572
  6. 2017Deep Potential Molecular Dynamics: a scalable model with the accuracy of quantum mechanicscited by 213
  7. 2017Machine Learning Molecular Dynamics for the Simulation of Infrared Spectracited by 30
  8. 2021Gaussian Moments as Physically Inspired Molecular Descriptors for Accurate and Scalable Machine Learning Potentialscited by 15
  9. 2021Fast and Sample-Efficient Interatomic Neural Network Potentials for Molecules and Materials Based on Gaussian Momentscited by 9
  10. 2018Machine learning enables long time scale molecular photodynamics simulationscited by 8

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