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In exact density functional theory (DFT) the total ground-state energy is a series of linear segments between integer electron points, a condition known as "piecewise linearity". Deviation from this condition is indicative of poor…

Other Condensed Matter · Physics 2015-06-22 Vojtěch Vlček , Helen R. Eisenberg , Gerd Steinle-Neumann , Leeor Kronik , Roi Baer

This article reviews a method for calculating an equilibrium interfacial phase diagram depicting regions of stability for different interface structures as function of temperature and chemical potentials. Density functional theory (DFT) is…

Materials Science · Physics 2016-11-23 Sven A. E. Johansson , G. Wahnström

Electronic-structure theory is the foundation of the description of materials including multiscale modeling of their properties and functions. Obviously, without sufficient accuracy at the base, reliable predictions are unlikely at any…

Materials Science · Physics 2026-04-22 Joseph W. Abbott , Carlos Mera Acosta , Alaa Akkoush , Alberto Ambrosetti , Viktor Atalla , Alexej Bagrets , Jörg Behler , Daniel Berger , Hannah Bertschi , Björn Bieniek , Jonas Björk , Volker Blum , Saeed Bohloul , Connor L. Box , Nicholas Boyer , Danilo Simoes Brambila , Gabriel A. Bramley , Kyle R. Bryenton , María Camarasa-Gómez , Christian Carbogno , Fabio Caruso , Sucismita Chutia , Michele Ceriotti , Gábor Csányi , William Dawson , Francisco A. Delesma , Fabio Della Sala , Bernard Delley , Robert A. DiStasio , Maria Dragoumi , Sander Driessen , Marc Dvorak , Simon Erker , Ferdinand Evers , Eduardo Fabiano , Matthew R. Farrow , Florian Fiebig , Jakob Filser , Lucas Foppa , Lukas Gallandi , Alberto Garcia , Ralf Gehrke , Simiam Ghan , Luca M. Ghiringhelli , Mark Glass , Stefan Goedecker , Dorothea Golze , Matthias Gramzow , James A. Green , Andrea Grisafi , Andreas Grüneis , Jan Günzl , Stefan Gutzeit , Samuel J. Hall , Felix Hanke , Ville Havu , Xingtao He , Joscha Hekele , Olle Hellman , Uthpala Herath , Jan Hermann , Daniel Hernangómez-Pérez , Oliver T. Hofmann , Johannes Hoja , Simon Hollweger , Lukas Hörmann , Ben Hourahine , Wei Bin How , William P. Huhn , Marcel Hülsberg , Timo Jacob , Sara Panahian Jand , Hong Jiang , Erin R. Johnson , Werner Jürgens , J. Matthias Kahk , Yosuke Kanai , Kisung Kang , Petr Karpov , Elisabeth Keller , Roman Kempt , Danish Khan , Matthias Kick , Benedikt P. Klein , Jan Kloppenburg , Alexander Knoll , Florian Knoop , Franz Knuth , Simone S. Köcher , Jannis Kockläuner , Sebastian Kokott , Thomas Körzdörfer , Hagen-Henrik Kowalski , Peter Kratzer , Pavel Kůs , Raul Laasner , Bruno Lang , Björn Lange , Marcel F. Langer , Ask Hjorth Larsen , Hermann Lederer , Susi Lehtola , Maja-Olivia Lenz-Himmer , Moritz Leucke , Sergey Levchenko , Alan Lewis , O. Anatole von Lilienfeld , Konstantin Lion , Werner Lipsunen , Johannes Lischner , Yair Litman , Chi Liu , Qing-Long Liu , Songrui Liu , Andrew J. Logsdail , Michael Lorke , Zekun Lou , Iuliia Mandzhieva , Andreas Marek , Johannes T. Margraf , Reinhard J. Maurer , Tobias Melson , Florian Merz , Jörg Meyer , Georg S. Michelitsch , Teruyasu Mizoguchi , Evgeny Moerman , Dylan Morgan , Jack Morgenstein , Jonathan Moussa , Akhil S. Nair , Lydia Nemec , Harald Oberhofer , Alberto Otero-de-la-Roza , Ramón L. Panadés-Barrueta , Thanush Patlolla , Mariia Pogodaeva , Alexander Pöppl , Alastair J. A. Price , Thomas A. R. Purcell , Jingkai Quan , Nathaniel Raimbault , Markus Rampp , Karsten Rasim , Ronald Redmer , Xinguo Ren , Karsten Reuter , Norina A. Richter , Stefan Ringe , Patrick Rinke , Simon P. Rittmeyer , Herzain I. Rivera-Arrieta , Matti Ropo , Mariana Rossi , Victor Ruiz , Nikita Rybin , Andrea Sanfilippo , Matthias Scheffler , Christoph Scheurer , Christoph Schober , Franziska Schubert , Tonghao Shen , Christopher Shepard , Honghui Shang , Kiyou Shibata , Andrei Sobolev , Ruyi Song , Aloysius Soon , Daniel T. Speckhard , Pavel V. Stishenko , Elia Stocco , Muhammad N. Tahir , Izumi Takahara , Jun Tang , Zechen Tang , Thomas Theis , Franziska Theiss , Alexandre Tkatchenko , Milica Todorović , George Trenins , Oliver T. Unke , Álvaro Vázquez-Mayagoitia , Oscar van Vuren , Daniel Waldschmidt , Han Wang , Yanyong Wang , Jürgen Wieferink , Jan Wilhelm , Scott Woodley , Jianhang Xu , Yong Xu , Yi Yao , Yingyu Yao , Mina Yoon , Victor Wen-zhe Yu , Zhenkun Yuan , Marios Zacharias , Igor Ying Zhang , Min-Ye Zhang , Wentao Zhang , Xingchen Zhang , Rundong Zhao , Shuo Zhao , Ruiyi Zhou , Yuanyuan Zhou , Tong Zhu

The journey of theoretical study on semiconductors is reviewed in a non-conventional way. We have started with the basic introduction of Hartree-Fock method and introduce the fundamentals of Density Functional Theory (DFT). From the oldest…

Materials Science · Physics 2021-05-04 Sujoy Datta , Debnarayan Jana

Quantum mechanical methods based on the density functional theory (DFT) offer a realistic possibility of first-principles design of organic donor-acceptor systems and engineered band-gap materials. This promise is contingent upon the…

Chemical Physics · Physics 2013-12-03 Marcin Modrzejewski , Grzegorz Chałasiński , Małgorzata M. Szczęśniak

Large-scale simulations of plastic deformation and phase transformations in alloys require reliable classical interatomic potentials. We construct an embedded-atom method potential for niobium as the first step in alloy potential…

Materials Science · Physics 2010-04-27 Michael R. Fellinger , Hyoungki Park , John W. Wilkins

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

Multipole moments are the first order responses of the energy to spatial derivatives of the electric field strength. The quality of density functional theory (DFT) prediction of molecular multipole moments thus characterizes errors in…

Chemical Physics · Physics 2021-02-23 Diptarka Hait , Yu Hsuan Liang , Martin Head-Gordon

Rigorous mathematical foundations of density functional theory are revisited, with some use of infinitesimal (nonstandard) methods. A thorough treatment is given of basic properties of internal energy and ground-state energy functionals…

Other Condensed Matter · Physics 2016-06-30 Paul E. Lammert

Density functional theory (DFT) has become the most popular approach to electronic structure across disciplines, especially in material and chemical sciences. Last year, at least 30,000 papers used DFT to make useful predictions or give…

Chemical Physics · Physics 2017-01-05 Justin C. Smith , Francisca Sagredo , 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…

It is possible in principle to probe the many--atom potential surface using density functional theory (DFT). This will allow us to apply DFT to the Hamiltonian formulation of atomic motion in monatomic liquids [\textit{Phys. Rev. E} {\bf…

Topology is a fundamental aspect of quantum physics, and it has led to key breakthroughs and results in various fields of quantum materials. In condensed matters, this has culminated in the recent discovery of symmetry-protected topological…

Materials Science · Physics 2023-10-24 Baokai Wang , Yi-Chun Hung , Xiaoting Zhou , Tzen Ong , Hsin Lin

Density matrix embedding theory (DMET) describes finite fragments in the presence of a surrounding environment. In contrast to most embedding methods, DMET explicitly allows for quantum entanglement between both. In this chapter, we discuss…

Strongly Correlated Electrons · Physics 2018-02-19 Sebastian Wouters , Carlos A. Jiménez-Hoyos , Garnet K. -L. Chan

We present evidence that learned density functional theory (``DFT'') force fields are ready for ground state catalyst discovery. Our key finding is that relaxation using forces from a learned potential yields structures with similar or…

Covariant density functional theory (CDFT) is a modern theoretical tool for the description of nuclear structure phenomena. The current investigation aims at the global assessment of the accuracy of the description of the ground state…

Nuclear Theory · Physics 2015-06-19 S. E. Agbemava , A. V. Afanasjev , D. Ray , P. Ring

Energy functionals serve as the basis for different models and methods in quantum and classical many-particle physics. Arguably, one of the most successful and widely used approaches in material science at both ambient and extreme…

Plasma Physics · Physics 2024-10-22 Z. Moldabekov , J. Vorberger , T. Dornheim

Recently we proposed an information entropy based method for electronic structure calculations within the density-matrix functional theory(DMFT) (Phys. Rev. Lett. 128, 013001), dubbed as $i$-DMFT. Comments have been raised regarding the…

Quantum Physics · Physics 2022-07-07 Jian Wang , Evert Jan Baerends

Density Functional Theory (DFT) is a powerful and accurate tool exploited in Nuclear Physics to investigate the ground-state and some collective properties of nuclei along the whole nuclear chart. Models based on DFT are, however, not…

Nuclear Theory · Physics 2017-10-26 X. Roca-Maza , Y. F. Niu , G. Colò , P. F. Bortignon

In the thermodynamic limit two distinct states of matter cannot be analytic continuations of each other. Classical phase transitions are characterized by non-analyticities of the free energy. For quantum phase transitions (QPTs) the ground…

Strongly Correlated Electrons · Physics 2007-05-23 Angela Kopp , Xun Jia , Sudip Chakravarty