arrow
Return

Self-consistent Coulomb interactions for machine learning interatomic potentials

delete2025-09-30
delete0
PRE
AI
J
Jack Thomas
W
Will Baldwin
G
Gábor Cśanyi
C
Christoph Ortner *
DOI:10.1088/1361-6544/ae0402delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

Abstract

En 中文
A ubiquitous approach to obtain transferable machine learning-based models of potential energy surfaces for atomistic systems is to decompose the total energy into a sum of local atom-centred contributions. However, in many systems non-negligible long-range electrostatic effects must be taken into account as well. We introduce a general mathematical framework to study how such long-range effects can be included in a way that (i) allows charge equilibration and (ii) retains the locality of the learnable atom-centred contributions to ensure transferability. Our results give partial explanations for the success of existing machine learned potentials that include equilibration and provide perspectives how to design such schemes in a systematic way. To complement the rigorous theoretical results, we describe a practical scheme for fitting the energy and electron density of water clusters.
Keywords:
Coulomb interactions
machine learning
electronic structure
tight binding
interatomic potentials
locality
body-order expansion

Journal

N
Nonlinearity
IF:
1.6
Papers:
176
Citations:
0

Organization

U
University of Minnesota Twin Cities
Scholars:
3.7W
Papers: 3.1W
Citations: 58
U
University of Cambridge
Scholars:
7.7W
Papers: 7.1W
Citations: 13.7W