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Molecular dynamics simulations are an important tool for describing the evolution of a chemical system with time. However, these simulations are inherently held back either by the prohibitive cost of accurate electronic structure theory…

Chemical Physics · Physics 2018-12-20 Michael Gastegger , Philipp Marquetand

The emergent behavior of quantum materials is governed by their electronic structure, which can be experimentally probed by photoemission spectroscopy techniques that generate a four-dimensional dataset of energy and momentum. However, the…

Strongly Correlated Electrons · Physics 2026-03-18 Yu Zhang , Yong Zhong , Nhat Huy Tran , Shuyi Li , Kyuho Lee , Yonghun Lee , Tiffany C. Wang , Harold Y. Hwang , Zhi-Xun Shen , Chunjing Jia

Transport in molecular electronic devices is different from that in semiconductor mesoscopic devices in two important aspects: (1) the effect of the electronic structure and (2) the effect of the interface to the external contact. A…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yongqiang Xue , Supriyo Datta , Mark A. Ratner

This paper proposes a machine learning (ML) method to predict stable molecular geometries from their chemical composition. The method is useful for generating molecular conformations which may serve as initial geometries for saving time…

This chapter discusses contemporary quantum chemical methods and provides general insights into modern electronic structure theory with a focus on heavy-element-containing compounds. We first give a short overview of relativistic…

Chemical Physics · Physics 2020-02-18 Aleksandra Leszczyk , Paweł Tecmer , Katharina Boguslawski

The inclusion of long-range electrostatics in atomistic machine learning (ML) is receiving increasing attention for achieving quantum-mechanical accuracy in predicting a wide range of molecular and material properties. However, there is…

Materials Science · Physics 2026-02-12 Federico Grasselli , Kevin Rossi , Stefano de Gironcoli , Andrea Grisafi

In ab initio nuclear structure theory, accurately predicting electromagnetic observables, such as moments and transition rates, is essential for a comprehensive understanding of nuclear properties. However, computational limitations and…

Nuclear Theory · Physics 2025-12-22 Marco Knöll , Marc L. Agel , Tobias Wolfgruber , Pieter Maris , Robert Roth

Machine learning (ML) based interatomic potentials are emerging tools for materials simulations but require a trade-off between accuracy and speed. Here we show how one can use one ML potential model to train another: we use an existing,…

Materials Science · Physics 2022-09-20 Joe D. Morrow , Volker L. Deringer

Machine Learning (ML) has the potential to accelerate discovery of new materials and shed light on useful properties of existing materials. A key difficulty when applying ML in Materials Science is that experimental datasets of material…

Machine learning has become ubiquitous in materials modelling and now routinely enables large-scale atomistic simulations with quantum-mechanical accuracy. However, developing machine-learned interatomic potentials requires high-quality…

We demonstrate how to determine numerically nearly exact orthonormal orbitals that are optimal for evaluation of the energy of arbitrary (correlated) states of atoms and molecules by minimization of the energy Lagrangian. Orbitals are…

Machine learning potentials have emerged as a powerful tool to extend the time and length scales of first principles-quality simulations. Still, most machine learning potentials cannot distinguish different electronic spin orientations and…

Computational Physics · Physics 2022-01-25 Marco Eckhoff , Jörg Behler

Accessing structures of molecules, crystals, and complex interfaces with atomic level details is vital to the understanding and engineering of materials, chemical reactions, and biochemical processes. Currently, determination of accurate…

Computational Physics · Physics 2022-05-11 Ziheng Lu , Wenlei Shi , Lixin Sun , Haiguang Liu , Tie-Yan Liu

Deep Learning has been shown to learn efficient representations for structured data such as image, text or audio. In this chapter, we present neural network architectures that are able to learn efficient representations of molecules and…

Computational Physics · Physics 2018-12-13 Kristof T. Schütt , Alexandre Tkatchenko , Klaus-Robert Müller

Interatomic potentials learned using machine learning methods have been successfully applied to atomistic simulations. However, accurate models require large training datasets, while generating reference calculations is computationally…

Machine Learning · Computer Science 2024-01-23 John Falk , Luigi Bonati , Pietro Novelli , Michele Parrinello , Massimiliano Pontil

Machine learning of atomic-scale properties is revolutionizing molecular modelling, making it possible to evaluate inter-atomic potentials with first-principles accuracy, at a fraction of the costs. The accuracy, speed and reliability of…

Computational Physics · Physics 2018-10-16 Giulio Imbalzano , Andrea Anelli , Daniele Giofr é , Sinja Klees , J örg Behler , Michele Ceriotti

An outstanding challenge in chemical computation is the many-electron problem where computational methodologies scale prohibitively with system size. The energy of any molecule can be expressed as a weighted sum of the energies of…

Chemical Physics · Physics 2023-01-03 LeeAnn M. Sager-Smith , David A. Mazziotti

The molecular Schr\"odinger equation is rewritten in terms of non-unitary equations of motion for the nuclei (or electrons) that depend parametrically on the configuration of an ensemble of generally defined electronic (or nuclear)…

Mesoscale and Nanoscale Physics · Physics 2016-02-18 Guillermo Albareda , Heiko Appel , Ignacio Franco , Ali Abedi , Angel Rubio

To address the computational challenges of ab initio molecular dynamics and the accuracy limitations of empirical force fields, the introduction of machine learning force fields has proven effective in various systems including metals and…

Soft Condensed Matter · Physics 2023-12-18 Junbao Hu , Liyang Zhou , Jian Jiang

Machine learning encompasses a set of tools and algorithms which are now becoming popular in almost all scientific and technological fields. This is true for molecular dynamics as well, where machine learning offers promises of extracting…