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Linear-scaling implementations of density functional theory (DFT) reach their intended efficiency regime only when applied to systems having a physical size larger than the range of their Kohn-Sham density matrix (DM). This causes a problem…

Chemical Physics · Physics 2022-03-25 Marcel David Fabian , Ben Shpiro , Eran Rabani , Daniel Neuhauser , Roi Baer

Time dependent quantum systems are the subject of intense inquiry, in mathematics, science, and engineering, particularly at the atomic and molecular levels. In 1984, Runge and Gross introduced time dependent density functional theory…

Analysis of PDEs · Mathematics 2021-02-24 Joseph W. Jerome

We implemented various DFT+U schemes, including the ACBN0 self-consistent density-functional version of the DFT+U method [Phys. Rev. X 5, 011006 (2015)] within the massively parallel real-space time-dependent density functional theory…

Strongly Correlated Electrons · Physics 2017-12-27 Nicolas Tancogne-Dejean , Micael J. T. Oliveira , Angel Rubio

Density functional theory (DFT) has transformed our ability to investigate and understand electronic ground states. In its original formulation, however, DFT is not suited to addressing (e.g.) degenerate ground states, mixed states with…

Chemical Physics · Physics 2025-10-30 Tim Gould , Leeor Kronik , Stefano Pittalis

Density functional theory (DFT) underpins modern atomistic simulations of transition-metal surfaces. It can predict key properties linked to catalytic performance, such as adsorption energies and barrier heights, enabling new paradigms in…

Materials Science · Physics 2026-03-23 Benjamin X. Shi , Timothy C. Berkelbach

An approximate solution to the time-dependent density functional theory (TDDFT) response equations for finite systems is developed, yielding corrections to the single-pole approximation. These explain why allowed Kohn-Sham transition…

Materials Science · Physics 2009-11-07 H. Appel , E. K. U. Gross , K. Burke

Time-dependent (TD) density functional theory (TDDFT) promises a numerically tractable account of many-body electron dynamics provided good simple approximations are developed for the exchange-correlation (XC) potential functional (XCPF).…

Other Condensed Matter · Physics 2008-08-29 Roi Baer

Time-dependent orbital-free DFT is an efficient method for calculating the dynamic properties of large scale quantum systems due to the low computational cost compared to standard time-dependent DFT. We formalize this method by mapping the…

Chemical Physics · Physics 2021-06-09 Kaili Jiang , Michele Pavanello

We present a comprehensive theoretical description for an irradiation of an ultrashort light pulse normally on thin materials based on first-principles time-dependent density functional theory. As the most elaborate scheme, we develop a…

Optics · Physics 2018-12-31 Shunsuke Yamada , Masashi Noda , Katsuyuki Nobusada , Kazuhiro Yabana

This paper presents some absorbing boundary conditions (ABC) for simulations based on the time-dependent density-functional theory (TDDFT). The boundary conditions are expressed in terms of the elements of the density-matrix, and it is…

Numerical Analysis · Mathematics 2019-05-01 Xiantao Li

An accurate treatment of electronic spectra in large systems with a technique such as time dependent density functional theory (TDDFT) is computationally challenging. Due to the Nyquist sampling theorem, direct real time simulations must be…

Materials Science · Physics 2024-01-17 Matthias Kick , Ezra Alexander , Anton Beiersdorfer , Troy Van Voorhis

Time-dependent density-functional theory (TDDFT) treats dynamical exchange and correlation (xc) via a single-particle potential, Vxc(r,t), defined as a nonlocal functional of the density n(r',t'). The popular adiabatic local-density…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. A. Ullrich , I. V. Tokatly

Density functional theory (DFT) is shown to provide a novel conceptual and computational framework for entanglement in interacting many-body quantum systems. DFT can, in particular, shed light on the intriguing relationship between quantum…

Quantum Physics · Physics 2009-11-11 L. -A. Wu , M. S. Sarandy , D. A. Lidar , L. J. Sham

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

Real-time time-dependent density functional theory (TDDFT) is presently the most accurate available method for computing electronic stopping powers from first principles. However, obtaining application-relevant results often involves either…

Materials Science · Physics 2023-07-10 Alina Kononov , Thomas Hentschel , Stephanie B. Hansen , Andrew D. Baczewski

The present contribution does not aim at replacing the huge and often excellent literature on DFT for atomic nuclei, but tries to provide an updated introduction to this topic. The goal would be, ideally, to help a fresh M.Sc. or Ph.D.…

Nuclear Theory · Physics 2019-08-09 G. Colò

We discuss time dependent quantum systems on bounded domains. Our work may be viewed as a framework for several models, including linear iterations involved in time dependent density functional theory (TDDFT), the Hartree-Fock model, or…

Dynamical Systems · Mathematics 2013-09-17 Joseph W. Jerome , Eric Polizzi

Kohn-Sham density functional theory is the base of modern computational approaches to electronic structures. Their accuracy vitally relies on the exchange-correlation energy functional, which encapsulates electron-electron interaction…

Computational Physics · Physics 2019-11-04 Ryo Nagai , Ryosuke Akashi , Osamu Sugino

The extension of Time Dependent Density Functional Theory (TDDFT) to superfluid systems is discussed in the context of nuclear reactions and large amplitude collective motion.

Nuclear Theory · Physics 2019-11-05 Piotr Magierski

A robust and efficient frequency dependent and non-local exchange-correlation $f_{xc}(r,r';\omega)$ is derived by imposing time-dependent density-functional theory (TDDFT) to reproduce the many-body diagrammatic expansion of the…

Materials Science · Physics 2009-11-10 A. Marini , R. Del Sole , A. Rubio