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Recent progress in the formulation of a fully dynamical local approximation to time-dependent Density Functional Theory appeals to the longitudinal and transverse components of the exchange and correlation kernel in the linear…

Condensed Matter · Physics 2008-12-18 R. Nifosi' , S. Conti , M. P. Tosi

In their famous paper Kohn and Sham formulated a formally exact density-functional theory (DFT) for the ground-state energy and density of a system of $N$ interacting electrons, albeit limited at the time by certain troubling…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Miquel Huix-Rotllant , Mark E. Casida

We introduce a non-equilibrium density-functional theory of local temperature and associated local energy density that is suited for the study of thermoelectric phenomena. The theory rests on a local temperature field coupled to the…

Strongly Correlated Electrons · Physics 2014-05-16 F. G. Eich , M. Di Ventra , G. Vignale

Time-dependent current-density-functional theory (TDCDFT) provides an in principle exact scheme to calculate efficiently response functions for a very broad range of applications. However, the lack of approximations valid for a range of…

Strongly Correlated Electrons · Physics 2015-05-20 Matteo Gatti

We assess the accuracy of common hybrid exchange-correlation (XC) functionals (PBE0, PBE0-1/3, HSE06, HSE03, and B3LYP) within Kohn-Sham density functional theory (KS-DFT) for the harmonically perturbed electron gas at parameters relevant…

Chemical Physics · Physics 2023-03-08 Zhandos A. Moldabekov , Mani Lokamani , Jan Vorberger , Attila Cangi , Tobias Dornheim

We present and test a new approximation for the exchange-correlation (xc) energy of Kohn-Sham density functional theory. It combines exact exchange with a compatible non-local correlation functional. The functional is by construction free…

Chemical Physics · Physics 2014-05-23 Tobias Schmidt , Eli Kraisler , Adi Makmal , Leeor Kronik , Stephan Kümmel

We propose a method that incorporates explicit derivative discontinuity of the total energy with respect to the number of electrons and treats both delocalization and static correlation effects in density functional calculations. Our…

Strongly Correlated Electrons · Physics 2018-03-08 Fei Zhou , Vidvuds Ozolins

An atomic-orbital basis set framework is presented for carrying out velocity- gauge real-time time-dependent density functional theory (TDDFT) simulations in periodic systems employing range-separated hybrid functionals. Linear optical…

Materials Science · Physics 2018-10-02 C. D. Pemmaraju

We model the Hartree-exchange-correlation potential of Kohn-Sham density-functional theory adopting a novel strategy inspired by the strictly-correlated-electrons limit and relying on the exact decomposition of the potential based on the…

Chemical Physics · Physics 2024-09-09 Sara Giarrusso , Federica Agostini

Density functional theory (DFT) remains the most widely used electronic structure method. Although exact in principle, in practice, it relies on approximations to the exchange-correlation (XC) functional, which is known to be a unique…

Computational Physics · Physics 2025-10-14 Vishal Subramanian , Bikash Kanungo , Vikram Gavini

We present a density functional theory (DFT) for lattice models with local electron-electron (e-e) and electron-phonon (e-ph) interactions. Exchange-correlation potentials are derived via dynamical mean field theory for the…

Strongly Correlated Electrons · Physics 2019-09-04 E. Viñas Boström , P. Helmer , P. Werner , C. Verdozzi

Ground-state Kohn-Sham density functional theory provides, in principle, the exact ground-state energy and electronic spin-densities of real interacting electrons in a static external potential. In practice, the exact density functional for…

Chemical Physics · Physics 2022-07-11 Aaron D. Kaplan , Mel Levy , John P. Perdew

Knowledge of exact properties of the exchange-correlation (xc) functional is important for improving the approximations made within density functional theory. Features such as steps in the exact xc potential are known to be necessary for…

Strongly Correlated Electrons · Physics 2021-01-15 M. J. P. Hodgson , J. D. Ramsden , R. W. Godby

We present a rigorous framework that combines single-particle Green's function theory with density functional theory based on a separation of electron-electron interactions into short-range and long-range components. Short-range…

Chemical Physics · Physics 2018-06-07 Alexei A. Kananenka , Dominika Zgid

We use the exact strong-interaction limit of the Hohenberg-Kohn energy density functional to construct an approximation for the exchange-correlation term of the Kohn-Sham approach. The resulting exchange-correlation potential is able to…

Strongly Correlated Electrons · Physics 2013-04-05 Francesc Malet , André Mirtschink , Jonas C. Cremon , Stephanie M. Reimann , Paola Gori-Giorgi

Over the past few years it has been pointed out that direct inversion of accurate but approximate ground state densities leads to Kohn-Sham exchange-correlation (xc) potentials that can differ significantly from the exact xc potential of a…

Atomic Physics · Physics 2020-08-26 Ashish Kumar , Rabeet Singh , Manoj K. Harbola

Quasi-two-dimensional (2D) systems, such as an electron gas confined in a quantum well, are important model systems for many-body theories. Earlier studies of the crossover from 3D to 2D in ground-state density-functional theory showed that…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Shahrzad Karimi , Carsten A. Ullrich

The most accurate theoretical method to describe excitons is the solution of the Bethe-Salpeter equation in the GW approximation (GW-BSE). However, because of its computation cost, time-dependent density functional theory (TDDFT) is…

Materials Science · Physics 2023-01-11 Rita Maji , Elena Degoli , Monica Calatayud , Valérie Véniard , Eleonora Luppi

Time-dependent density functional theory (TDDFT) is rapidly emerging as a premier method for solving dynamical many-body problems in physics and chemistry. The mathematical foundations of TDDFT are established through the formal existence…

Quantum Physics · Physics 2014-08-22 J. D. Whitfield , M. -H. Yung , D. G. Tempel , S. Boixo , A. Aspuru-Guzik

The practical success of density functional theory (DFT) is largely credited to the Kohn-Sham approach, which enables the exact calculation of the non-interacting electron kinetic energy via an auxiliary noninteracting system. Yet, the…

Computational Physics · Physics 2025-03-21 Sangita Majumdar , Zekun Shi , Giovanni Vignale
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