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We test the Coulomb exchange and correlation energy density functionals of electron systems for atomic nuclei in the local density approximation (LDA) and the generalized gradient approximation (GGA). For the exchange Coulomb energies, it…

Nuclear Theory · Physics 2018-04-25 Tomoya Naito , Ryosuke Akashi , Haozhao Liang

Molecular dynamics simulations have been used in different scientific fields to investigate a broad range of physical systems. However, the accuracy of calculation is based on the model considered to describe the atomic interactions. In…

Statistical Mechanics · Physics 2023-02-08 Márcio S. Gomes-Filho , Alberto Torres , Alexandre Reily Rocha , Luana S. Pedroza

In the last decade, computational studies of liquid water have mostly concentrated on ground state properties. However recent spectroscopic measurements have been used to infer the structure of water, and the interpretation of optical and…

Materials Science · Physics 2016-08-31 David Prendergast , Jeffrey C. Grossman , Giulia Galli

The electron density, its gradient, and the Kohn-Sham orbital kinetic energy density are the local ingredients of a meta-generalized gradient approximation (meta-GGA). We construct a meta-GGA density functional for the exchange-correlation…

Materials Science · Physics 2009-02-20 Jianmin Tao , John P. Perdew , Viktor N. Staroverov , Gustavo E. Scuseria

Approximate density functional theory (DFT) has become indispensable owing to its cost-accuracy trade-off in comparison to more computationally demanding but accurate correlated wavefunction theory. To date, however, no single density…

Chemical Physics · Physics 2022-07-25 Chenru Duan , Aditya Nandy , Ralf Meyer , Naveen Arunachalam , Heather J. Kulik

In molecular simulations, machine-learning force fields can achieve ab initio accuracy at a lower cost but remain limited in the explicit modeling of electrons. In this work, we develop an electron-aware machine-learning force field, in…

Chemical Physics · Physics 2025-12-01 Ruiqi Gao , Pinchen Xie , Roberto Car

By shifting the reference system for the local-density approximation (LDA) from the electron gas to other model systems one obtains a new class of density functionals, which by design account for the correlations present in the chosen…

Strongly Correlated Electrons · Physics 2009-11-07 N. A. Lima , M. F. Silva , L. N. Oliveira , K. Capelle

Kohn-Sham density functional theory (DFT) is nowadays widely used for electronic structure theory simulations, and the accuracy and efficiency of DFT rely on approximations of the exchange-correlation functional. By inclusion of the kinetic…

Materials Science · Physics 2023-06-01 Renxi Liu , Daye Zheng , Xinyuan Liang , Xinguo Ren , Mohan Chen , Wenfei Li

Simulating water from first principles remains a significant computational challenge due to the slow dynamics of the underlying system. Although machine-learned interatomic potentials (MLPs) can accelerate these simulations, they often fail…

Chemical Physics · Physics 2026-01-30 Tobias Hilpert , Georg Kresse

The integration of machine learning (ML) with density functional theory has emerged as a promising strategy to enhance the accuracy of density functional methods. While practical implementations of density functional approximations (DFAs)…

Chemical Physics · Physics 2025-04-22 Zipeng An , JingChun Wang , Yapeng Zhang , Zhiyu Li , Jiang Wu , Yalun Zheng , GuanHua Chen , Xiao Zheng

Density functional theory (DFT) is one of the primary approaches to get a solution to the many-body Schrodinger equation. The essential part of the DFT theory is the exchange-correlation (XC) functional, which can not be obtained in…

Computational Physics · Physics 2021-12-10 Alexander Ryabov , Petr Zhilyaev

Kohn-Sham density functional theory (DFT) is a widely-used electronic structure theory for materials as well as molecules. DFT is needed especially for large systems, ab initio molecular dynamics, and high-throughput searches for functional…

We investigate the transferability of machine learning interatomic potentials across concentration variations in chemically similar systems, using aqueous potassium hydroxide solutions as a case study. Despite containing identical chemical…

Chemical Physics · Physics 2025-05-13 Jonas Hänseroth , Christian Dreßler

The average energy curvature as a function of the particle number is a molecule-specific quantity, which measures the deviation of a given functional from the exact conditions of density functional theory (DFT). Related to the lack of…

Chemical Physics · Physics 2020-11-11 Alberto Fabrizio , Benjamin Meyer , Clemence Corminboeuf

Within the framework of Kohn-Sham density functional theory (DFT), the ability to provide good predictions of water properties by employing a strongly constrained and appropriately normed (SCAN) functional has been extensively demonstrated…

Within density-functional theory, the local-density approximation (LDA) correlation functional is typically built by fitting the difference between the near-exact and Hartree-Fock (HF) energies of the uniform electron gas (UEG), together…

Chemical Physics · Physics 2017-05-01 Fergus J. M. Rogers , Caleb J. Ball , Pierre-François Loos

We investigate the behavior of three-dimensional (3D) exchange-correlation energy functional approximations of density functional theory in anisotropic systems with two-dimensional (2D) character. Using two simple models, quasi-2D electron…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yong-Hoon Kim , In-Ho Lee , Satyadev Nagaraja , Jean-Pierre Leburton , Randolph Q. Hood , Richard M. Martin

The Kohn-Sham gaps of density functional theory (DFT) obtained in terms of local density approximation (LDA) or generalized gradient approximation (GGA) cannot be directly linked to the fundamental gaps of semiconductors, but in engineering…

Materials Science · Physics 2024-09-17 Hanli Cui , Shengxin Yang , Jun-Hui Yuan , Li-Heng Li , Fan Ye , Jinhai Huang , Kan-Hao Xue , Xiangshui Miao

We introduce a scheme based on machine learning and deep neural networks to model the environmental dependence of the electronic polarizability in insulating materials. Application to liquid water shows that training the network with a…

Chemical Physics · Physics 2020-06-24 Grace M. Sommers , Marcos F. Calegari Andrade , Linfeng Zhang , Han Wang , Roberto Car

Streaming Linear Discriminant Analysis (LDA) while proven in Class-incremental Learning deployments at the edge with limited classes (upto 1000), has not been proven for deployment in extreme classification scenarios. In this paper, we…

Machine Learning · Computer Science 2023-07-24 Karan Shah , Vishruth Veerendranath , Anushka Hebbar , Raghavendra Bhat