Neural network representation of electronic structure from $ab$ $initio$ molecular dynamics

Abstract

Despite their rich information content, electronic structure data amassed at high volumes in $ab$ $initio$ molecular dynamics simulations are generally under-utilized. We introduce a transferable high-fidelity neural network representation of such data in the form of tight-binding Hamiltonians for crystalline materials. This predictive representation of $ab$ $initio$ electronic structure, combined with machine-learning boosted molecular dynamics, enables efficient and accurate electronic evolution and sampling. When applied to a one-dimension charge-density wave material, carbyne, we are able to compute the spectral function and optical conductivity in the canonical ensemble. The spectral functions evaluated during soliton-antisoliton pair annihilation process reveal significant renormalization of low-energy edge modes due to retarded electron-lattice coupling beyond the Born-Oppenheimer limit. The availability of an efficient and reusable surrogate model for the electronic structure dynamical system will enable calculating many interesting physical properties, paving way to previously inaccessible or challenging avenues in materials modeling.

12 pages,11 figures

References in corpus (2)

• Exponential localization of Wannier functions in insulators
• Learning the electronic density of states in condensed matter

Cited by in corpus (7)

• Deep-Learning Density Functional Theory Hamiltonian for Efficient ab initio Electronic-Structure Calculation
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• Universal materials model of deep-learning density functional theory Hamiltonian
• Neural-network Density Functional Theory Based on Variational Energy Minimization
• Quadratic Scaling Bosonic Path Integral Molecular Dynamics
• Crystalline Material Discovery in the Era of Artificial Intelligence
• Temperature-transferable tight-binding model using a hybrid-orbital basis