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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

Gould and Pittalis [Phys. Rev. Lett. 123, 016401 (2019)] recently revealed a density-driven (DD) correlation energy that is specific to many-electron ensembles and must be accounted for by approximations. We derive in this Letter a general…

Chemical Physics · Physics 2020-06-22 Emmanuel Fromager

We present SPARC-atomSFE, a spectral finite-element package for accurate and efficient atomic structure calculations within the framework of Kohn-Sham density functional theory. The package supports both all-electron and norm conserving…

Computational Physics · Physics 2026-05-19 Qihao Cheng , Shubhang Krishnakant Trivedi , Phanish Suryanarayana

Stochastic density functional theory (sDFT) is becoming a valuable tool for studying ground state properties of extended materials. The computational complexity of describing the Kohn-Sham orbitals is replaced by introducing a set of random…

Chemical Physics · Physics 2021-06-16 Ming Chen , Roi Baer , Daniel Neuhauser , Eran Rabani

Kohn-Sham density functional theory (KS-DFT) has found widespread application in accurate electronic structure calculations. However, it can be computationally demanding especially for large-scale simulations, motivating recent efforts…

Computational Physics · Physics 2024-06-25 Feitong Song , Ji Feng

We introduce a short-range correlation density functional defined with respect to a multi-determinantal reference which is meant to be used in a multi-determinantal extension of the Kohn-Sham scheme of density functional theory based on a…

Chemical Physics · Physics 2007-05-23 Julien Toulouse , Paola Gori-Giorgi , Andreas Savin

A method for calculating the Kohn--Sham exchange-correlation potential, $v_\text{XC}(\mathbf{r})$, from a given electronic wavefunction is devised and implemented. It requires on input one- and two-electron density matrices and involves…

Chemical Physics · Physics 2015-08-19 Ilya G. Ryabinkin , Sviataslau V. Kohut , Viktor N. Staroverov

We present a computationally efficient approach to perform large-scale all-electron density functional theory calculations by enriching the classical finite element basis with compactly supported atom-centered numerical basis functions that…

Computational Physics · Physics 2017-01-11 Bikash Kanungo , Vikram Gavini

A new scheme of first-principles computation for strongly correlated electron systems is proposed. This scheme starts from the local-density approximation (LDA) at high-energy band structure, while the low-energy effective Hamiltonian is…

Materials Science · Physics 2007-05-23 Yoshiki Imai , Igor V. Solovyev , Masatoshi Imada

We reformulate the strong-interaction limit of electronic density functional theory in terms of a classical problem with a degenerate minimum. This allows us to clarify many aspects of this limit, and to write a general solution, which is…

Materials Science · Physics 2007-05-23 Michael Seidl , Paola Gori-Giorgi , Andreas Savin

In this work we establish a density-functional reformulation of coupled matter-photon problems subject to general external electromagnetic fields and charge currents. We first show that for static minimally-coupled matter-photon systems an…

Quantum Physics · Physics 2017-08-07 M. Ruggenthaler

The fundamental energy gap of a periodic solid distinguishes insulators from metals and characterizes low-energy single-electron excitations. But the gap in the band-structure of the exact multiplicative Kohn-Sham (KS) potential…

In practical implementations of density-functional theory, the only term where an orbital description is needed is the kinetic one. Even this term in principle depends on the density only, but its explicit form is unknown. We provide a…

Materials Science · Physics 2007-05-23 L. De Santis , R. Resta

The Hohenberg-Kohn theorem and Kohn-Sham procedure are extended to functionals of the localized intrinsic density of a self-bound system such as a nucleus. After defining the intrinsic-density functional, we modify the usual Kohn-Sham…

Nuclear Theory · Physics 2008-11-26 J. Engel

Kohn-Sham density functional theory (DFT) has long struggled with the accurate description of strongly correlated and open shell systems and improvements have been minor even in the newest hybrid functionals. In this Letter we treat the…

Chemical Physics · Physics 2021-04-01 Danny Gibney , Jan-Niklas Boyn , David A. Mazziotti

Within the framework of linear-scaling Kohn-Sham density functional theory, a robust method for maintaining compact localized orbitals close to the ground state is coupled with nuclear dynamics. This allows to obviate the commonly employed…

Computational Physics · Physics 2018-08-01 Hayden Scheiber , Yifei Shi , Rustam Z. Khaliullin

We show that the energetics and lifetimes of resonances of finite systems under an external electric field can be captured by Kohn--Sham density functional theory (DFT) within the formalism of uniform complex scaling. Properties of…

In modeling low-dimensional electronic nanostructures, the evaluation of the electron-electron interaction is a challenging task. Here we present an accurate and practical density-functional approach to the two-dimensional many-electron…

Strongly Correlated Electrons · Physics 2010-10-29 S. Pittalis , E. Rasanen

One of the most important open challenges in modern Kohn-Sham (KS) density-functional theory (DFT) is the correct treatment of fractional electron charges and spins. Approximate exchange-correlation (XC) functionals struggle to do this in a…

Chemical Physics · Physics 2015-12-24 Jonathan Nafziger , Adam Wasserman

For some insulators we present a procedure to determine an electronic density leading to a lower energy than that of the Kohn-Sham ground state.

Materials Science · Physics 2014-09-11 L. G. Ferreira , M. Marques , L. K. Teles , R. R. Pelá