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Transferable neural wavefunctions for solids
L Gerard1, M Scherbela1, H Sutterud2
1Faculty of Mathematics, University of Vienna, Vienna, Austria.
Nature Computational Science
|October 22, 2025
Summary
Deep learning accelerates quantum chemistry calculations by optimizing a single neural network across multiple solid-state systems. This approach significantly reduces computational cost for simulating materials.
Area of Science:
- Quantum Chemistry
- Computational Materials Science
- Artificial Intelligence in Science
Background:
- Deep-learning-based variational Monte Carlo (DL-VMC) offers high accuracy for the many-electron Schrödinger equation.
- DL-VMC methods face challenges due to the high computational cost of optimizing neural network weights for each new system.
Purpose of the Study:
- To extend the approach of optimizing a single neural network across multiple systems to solid-state materials.
- To reduce the computational cost associated with simulating solids, which involve diverse geometries and conditions.
Main Methods:
- Implemented a single neural network ansatz optimized across various geometries, boundary conditions, and supercell sizes for solid-state calculations.
- Transferred a pre-trained neural network from smaller (2x2x2) to larger (3x3x3) LiH supercells.
Main Results:
- Optimization of a single ansatz across different solid-state variations significantly reduced the number of optimization steps required.
- Simulating larger 3x3x3 LiH supercells using a transferred network required 50 times fewer optimization steps compared to previous methods.
Conclusions:
- Optimizing a single neural network across multiple solid-state systems is a viable strategy to decrease computational overhead.
- This transfer learning approach shows promise for efficient high-throughput materials simulations.
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