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Paper   IPM / Nano-Sciences / 16047
School of Nano Science
  Title:   Locality meets machine learning: Excited and ground-state energy surfaces of large systems at the cost of small ones
1.  Mahboobeh Babaei
2.  Yavar Azar
3.  Ali Sadeghi
  Status:   Published
  Journal: Phys. Rev. B
  Vol.:  101
  Year:  2020
  Pages:   115132
  Supported by:  IPM
It is demonstrated that supervised machine learning of local environments of the atoms in a molecule can be very effectively combined with the density functional-based tight binding method to provide a fast and size-extensive scheme for electronic structure calculations. We train our machine learning model on small and basic molecules and then run it successfully for large and complicated molecules. This facilitates investigations of structural, electronic and optical properties of large model systems for which the conventional iterative self-consistent procedure becomes too costly. The fruitfulness of this shortsightedness-based scheme is shown for describing the energy landscape of the ground and low-lying excited states of several model molecules of variant sizes and complexity. The achieved accuracy in the tests supports the locality view to the electronic redistribution in a molecule and promises the efficiency of the machine-learning equipped divide-and-conquer approach for solving the Schrodinger equation.

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