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A machine learning tool to efficiently calculate electron–phonon coupling

A machine learning framework that uses atomic orbital-based Hamiltonian matrices and gradients predicted by an equivariant graph neural network is established to calculate electron–phonon coupling (EPC). This approach accelerates the calculations by several orders of magnitude, enabling EPC-related properties to be predicted for complex systems using highly accurate functionals.

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Fig. 1: Validation of machine learning EPC calculations and applications.

References

  1. Giustino, F. Electron-phonon interactions from first principles. Rev. Mod. Phys. 89, 015003 (2017). A review article that presents the theory of electron–phonon interactions in solids.

    Article  MathSciNet  Google Scholar 

  2. Schütt, K. T. et al. Unifying machine learning and quantum chemistry with a deep neural network for molecular wavefunctions. Nat. Commun. 10, 5024 (2019). This paper presents a deep learning framework for predicting the electronic Hamiltonian in a local basis of molecular atomic orbitals.

    Article  Google Scholar 

  3. Li, H. et al. Deep-learning density functional theory Hamiltonian for efficient ab initio electronic-structure calculation. Nat. Comput. Sci. 2, 367–377 (2022). This paper develops a deep neural network approach to represent the DFT Hamiltonian of crystalline materials.

    Article  Google Scholar 

  4. Zhong, Y. et al. Transferable equivariant graph neural networks for the Hamiltonians of molecules and solids. npj Comput. Mater. 9, 182 (2023). This paper develops a transferable equivariant graph neural network for the Hamiltonians of molecules and solids.

    Article  Google Scholar 

  5. Ma, J., Nissimagoudar, A. S. & Li, W. First-principles study of electron and hole mobilities of Si and GaAs. Phys. Rev. B 97, 045201 (2018). A theoretical study on the carrier mobility of GaAs in comparison with experimental and other theoretical works.

    Article  Google Scholar 

  6. Zhong, Y. et al. Universal machine learning Kohn–Sham Hamiltonian for materials. Chin. Phys. Lett. 41, 077103 (2024). This work presents a universal electronic Hamiltonian model for predicting electronic structures across the whole periodic table.

    Article  Google Scholar 

Download references

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This is a summary of: Zhong, Y. et al. Accelerating the calculation of electron–phonon coupling strength with machine learning. Nat. Comput. Sci. https://doi.org/10.1038/s43588-024-00668-7 (2024).

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A machine learning tool to efficiently calculate electron–phonon coupling. Nat Comput Sci 4, 565–566 (2024). https://doi.org/10.1038/s43588-024-00680-x

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