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Metallic films are important in catalysis, magneto-optic storage media, and interconnects in microelectronics, and it is crucial to predict and control their morphologies. The evolution of a growing crystal is determined by the behavior of…

Materials Science · Physics 2016-11-03 C. Ratsch , P. Ruggerone , M. Scheffler

Recently a novel approach to find approximate exchange-correlation functionals in density-functional theory (DFT) was presented (U. Mordovina et. al., JCTC 15, 5209 (2019)), which relies on approximations to the interacting wave function…

Chemical Physics · Physics 2021-03-04 Iris Theophilou , Teresa E. Reinhard , Angel Rubio , Michael Ruggenthaler

This paper gives a summary of basic concepts of density-functional theory (DFT) and its use in state-of-the-art computations of complex processes in condensed matter physics and materials science. In particular we discuss how microscopic…

Materials Science · Physics 2008-02-03 C. Ratsch , P. Ruggerone , M. Scheffler

Density-functional theory with extended Hubbard functionals (DFT+$U$+$V$) provides a robust framework to accurately describe complex materials containing transition-metal or rare-earth elements. It does so by mitigating self-interaction…

Materials Science · Physics 2025-01-30 Martin Uhrin , Austin Zadoks , Luca Binci , Nicola Marzari , Iurii Timrov

Machine learning has emerged as a novel tool for the efficient prediction of materials properties, and claims have been made that machine-learned models for the formation energy of compounds can approach the accuracy of Density Functional…

Materials Science · Physics 2020-07-14 Christopher J. Bartel , Amalie Trewartha , Qi Wang , Alexander Dunn , Anubhav Jain , Gerbrand Ceder

Active, selective and stable catalysts are imperative for sustainable energy conversion, and engineering materials with such properties are highly desired. High-entropy alloys (HEAs) offer a vast compositional space for tuning such…

Medium-entropy alloys (MEAs) such as CoCrFeNi and CoCrNi are promising structural materials owing to their outstanding mechanical and thermal properties, which arise from complex chemical disorder and atomic-scale interactions. Although…

Materials Science · Physics 2025-09-16 Mashroor S. Nitol , Artur Tamm , Subah Mubassira , Shuozhi Xu , Saryu J. Fensin

We have developed an efficient and reliable methodology for crystal structure prediction, merging ab initio total-energy calculations and a specifically devised evolutionary algorithm. This method allows one to predict the most stable…

Materials Science · Physics 2009-11-18 A. R. Oganov , C. W. Glass

We study parameterized and approximation algorithms for a variant of Set Cover, where the universe of elements to be covered consists of points in the plane and the sets with which the points should be covered are segments. We call this…

Computational Geometry · Computer Science 2024-02-27 Katarzyna Kowalska , Michał Pilipczuk

The prediction of material structure from chemical composition has been a long-standing challenge in natural science. Although there have been various methodological developments and successes with computer simulations, the prediction of…

Materials Science · Physics 2018-05-23 Naoto Tsujimoto , Daiki Adachi , Ryosuke Akashi , Synge Todo , Shinji Tsuneyuki

Recently, sophisticated deep learning-based approaches have been developed for generating efficient initial guesses to accelerate the convergence of density functional theory (DFT) calculations. While the actual initial guesses are often…

Chemical Physics · Physics 2026-03-24 Zhe Liu , Yuyan Ni , Zhichen Pu , Qiming Sun , Siyuan Liu , Wen Yan

The study of polycrystalline materials requires theoretical and computational techniques enabling multiscale investigations. The amplitude expansion of the phase field crystal model (APFC) allows for describing crystal lattice properties on…

Computational Physics · Physics 2019-04-25 Simon Praetorius , Marco Salvalaglio , Axel Voigt

We study property prediction for crystal materials. A crystal structure consists of a minimal unit cell that is repeated infinitely in 3D space. How to accurately represent such repetitive structures in machine learning models remains…

Chemical Physics · Physics 2023-11-08 Yuchao Lin , Keqiang Yan , Youzhi Luo , Yi Liu , Xiaoning Qian , Shuiwang Ji

As a first step to meet the challenge to calculate the electronic structure and total energy of charged states of atoms and molecules adsorbed on ultrathin-insulating films supported by a metallic substrate using density functional theory…

Materials Science · Physics 2013-11-01 Iván Scivetti , Mats Persson

Understanding crystal growth over arbitrary curved surfaces with arbitrary boundaries is a formidable challenge, stemming from the complexity of formulating non-linear elasticity using geometric invariant quantities. Solutions are generally…

Soft Condensed Matter · Physics 2025-01-22 Yankang Liu , Siyu Li , Roya Zandi , Alex Travesset

This chapter presents controlled approximations of Kohn-Sham density functional theory (DFT) that enable very large scale simulations. The work is motivated by the study of defects in crystalline solids, though the ideas can be used in…

Materials Science · Physics 2021-12-14 Kaushik Bhattacharya , Vikram Gavini , Michael Ortiz , Mauricio Ponga , Phanish Suryanarayana

Density functional theory (DFT) is an incredible success story. The low computational cost, combined with useful (but not yet chemical) accuracy, has made DFT a standard technique in most branches of chemistry and materials science.…

Chemical Physics · Physics 2015-06-03 Kieron Burke

We introduce 'single-particle-exact density functional theory' (1pEx-DFT), a novel density functional approach that represents all single-particle contributions to the energy with exact functionals. Here, we parameterize interaction energy…

Crystal Structure Prediction (CSP) of molecular crystals plays a central role in applications, such as pharmaceuticals and organic electronics. CSP is challenging and computationally expensive due to the need to explore a large search space…

Design-space dimensionality reduction is essential to mitigate the cost of high-fidelity simulation-based optimization, especially when dealing with high-dimensional geometric parameterizations. Traditional linear techniques, such as…

Optimization and Control · Mathematics 2025-07-23 Andrea Serani , Giorgio Palma , Jeroen Wackers , Domenico Quagliarella , Stefano Gaggero , Matteo Diez
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