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The ground state of an homogeneous electron gas is a paradigmatic state that has been used to model and predict the electronic structure of matter at equilibrium for nearly a century. For half a century, it has been successfully used to…

Chemical Physics · Physics 2024-06-11 Tim Gould , Stefano Pittalis

We present a new adaptive method for electronic structure calculations based on novel fast algorithms for reduction of multivariate mixtures. In our calculations, spatial orbitals are maintained as Gaussian mixtures whose terms are selected…

Numerical Analysis · Mathematics 2019-06-19 Gregory Beylkin , Lucas Monzon , Xinshuo Yang

Reduced density matrix functional theory (RDMFT) calculations are usually implemented in a decoupled manner, where the orbital and occupation optimizations are repeated alternately. Typically, orbital updates are performed using the unitary…

Chemical Physics · Physics 2024-09-04 Yi-Fan Yao , Neil Qiang Su

First-principles descriptions of correlated quantum materials require a simultaneous treatment of strong local many-body effects and nonlocal dynamical screening. We present an efficient fully self-consistent implementation of $GW$+EDMFT…

Strongly Correlated Electrons · Physics 2026-03-16 Chia-Nan Yeh , Francesco Petocchi , Alexander Hampel , Philipp Werner , Olivier Parcollet , Antoine Georges , Miguel Morales

In the past decade, photoemission orbital tomography (POT) has evolved into a powerful tool to investigate the electronic structure of organic molecules adsorbed on (metallic) surfaces. By measuring the angular distribution of…

Machine learning models are changing the paradigm of molecular modeling, which is a fundamental tool for material science, chemistry, and computational biology. Of particular interest is the inter-atomic potential energy surface (PES). Here…

Computational Physics · Physics 2020-07-21 Linfeng Zhang , Jiequn Han , Han Wang , Wissam A. Saidi , Roberto Car , Weinan E

Recent advances in continuum embedding models have enabled the incorporation of solvent and electrolyte effects into density functional theory (DFT) simulations of material surfaces, significantly benefiting electrochemistry, catalysis, and…

Computational Physics · Physics 2025-10-10 Jakob Filser , Edan Bainglass , Karsten Reuter , Oliviero Andreussi

A comparative study of fracture in Al is carried out by using quantum mechanical and empirical atomistic description of atomic interaction at crack tip. The former is accomplished with the density functional theory (DFT) based…

Mesoscale and Nanoscale Physics · Physics 2011-05-20 Qing Peng , Gang Lu

In this work, we present a study combining two approaches in the context of solving PDEs: the continuous finite element method (FEM) and more recent techniques based on neural networks. In recent years, physics-informed neural networks…

To study the fundamental physics of complex multiphase flow systems using advanced measurement techniques, especially the electrical capacitance tomography (ECT) approach, this article carries out an initial literature review of the ECT…

Computer Vision and Pattern Recognition · Computer Science 2015-10-16 Kezhi Li

Partition Density Functional Theory (P-DFT) is a density embedding method that partitions a molecule into fragments by minimizing the sum of fragment energies subject to a local density constraint and a global electron-number constraint. To…

Chemical Physics · Physics 2022-06-29 Kui Zhang , Adam Wasserman

The first part of this article centers on the fact that key features of the dynamical response of weakly-correlated materials (the alkalis, Al), have been found experimentally to differ qualitatively from simple-model behavior. In the…

Strongly Correlated Electrons · Physics 2007-05-23 Adolfo G. Eguiluz , Wei Ku

We formulate the problem of numerical analytic continuation in a way that lets us draw meaningful conclusions about properties of the spectral function based solely on the input data. Apart from ensuring consistency with the input data…

Other Condensed Matter · Physics 2017-01-11 Olga Goulko , Andrey S. Mishchenko , Lode Pollet , Nikolay Prokof'ev , Boris Svistunov

Over this past decade, we combined the idea of stochastic resolution of identity with a variety of electronic structure methods. In our stochastic Kohn-Sham DFT method, the density is an average over multiple stochastic samples, with…

Chemical Physics · Physics 2020-01-08 Wenfei Li , Ming Chen , Eran Rabani , Roi Baer , Daniel Neuhauser

One of the goals in the development of large scale electronic structure methods is to perform calculations explicitly for a localised region of a system, while still taking into account the rest of the system outside of this region. An…

Materials Science · Physics 2009-10-01 J. R. Trail , D. M. Bird

The classical Density Functional Theory (DFT) is introduced as an application of entropic inference for inhomogeneous fluids at thermal equilibrium. It is shown that entropic inference reproduces the variational principle of DFT when…

Statistical Mechanics · Physics 2021-09-14 Ahmad Yousefi , Ariel Caticha

The treatment of atomic anions with Kohn-Sham density functional theory (DFT) has long been controversial since the highest occupied molecular orbital (HOMO) energy, $E_{HOMO}$, is often calculated to be positive with most approximate…

Chemical Physics · Physics 2019-03-20 Lindsey N. Anderson , M. Belén Oviedo , Bryan M. Wong

This study presents a finite element and virtual element (FE-VE) coupled method for thermomechanical analysis in electronic packaging structures. The approach partitions computational domains strategically, employing FEM for regular…

Numerical Analysis · Mathematics 2026-01-14 Yanpeng Gong , Sishuai Li , Yue Mei , Bingbing Xu , Fei Qin , Xiaoying Zhuang , Timon Rabczuk

We review our recently developed electronic structure calculation methods used for the dynamics of large-scale solids or liquids with an efficient algorithm for large scale simultaneous linear equations. The electronic structure calculation…

Materials Science · Physics 2011-02-02 T. Fujiwara , S. Yamamoto , T. Hoshi , S. Nishino , H. Teng , T. Sogabe , S. -L. Zhang , M. Ikeda , M. Nakashima , N. Watanabe

In the present work, we introduce a Self-Consistent Density-Functional Embedding technique, which leaves the realm of standard energy-functional approaches in Density Functional Theory and targets directly the density-to-potential mapping…

Computational Physics · Physics 2019-07-17 Uliana Mordovina , Teresa E. Reinhard , Iris Theophilou , Heiko Appel , Angel Rubio
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