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Time-dependent density functional theory (TDDFT) is widely used for understanding and predicting properties and behaviors of matter. As one of the fundamental theorems in TDDFT, van Leeuwen's theorem [Phys. Rev. Lett. 82, 3863 (1999)]…

统计力学 · 物理学 2024-03-08 Jiong-Hang Liang , Tian-Xing Hu , D. Wu , Zheng-Mao Sheng , J. Zhang

In time-dependent density-functional theory, exchange and correlation (xc) beyond the adiabatic local density approximation can be described in terms of viscoelastic stresses in the electron liquid. In the time domain, this leads to a…

介观与纳米尺度物理 · 物理学 2009-11-10 H. O. Wijewardane , C. A. Ullrich

A strict bidimensional (strict-2D) exact-exchange (EE) formalism within the framework of density-functional theory (DFT) has been developed and applied to the case of an electron gas subjected to a strong perpendicular magnetic field, that…

介观与纳米尺度物理 · 物理学 2018-08-01 D. Miravet , C. R. Proetto

We discuss two problems which are particularly challenging for approximations in time-dependent density functional theory (TDDFT) to capture: momentum-distributions in ionization processes, and memory-dependence in real-time dynamics. We…

材料科学 · 物理学 2010-03-22 Arun K. Rajam , Paul Hessler , Christian Gaun , Neepa T. Maitra

An exact theoretical framework based on Time Dependent Density Functional Theory (TDDFT) is proposed in order to deal with the time-dependent quantum transport in fully interacting systems. We use a \textit{partition-free} approach by Cini…

介观与纳米尺度物理 · 物理学 2009-11-10 Gianluca Stefanucci , Carl-Olof Almbladh

We study non-linear adiabatic connection paths in density-functional theory using modified electron-electron interactions that perform a long-range/short-range separation of the Coulomb interaction. These adiabatic connections allows to…

化学物理 · 物理学 2009-11-11 Julien Toulouse , Francois Colonna , Andreas Savin

Ensemble density functional theory (EDFT) is a promising alternative to time-dependent density functional theory for computing electronic excitation energies. Using coordinate scaling, we prove several fundamental exact conditions in EDFT…

强关联电子 · 物理学 2023-07-04 Thais R. Scott , John Kozlowski , Steven Crisostomo , Aurora Pribram-Jones , Kieron Burke

Kohn-Sham Density Functional Theory (KS-DFT) provides the exact ground state energy and electron density of a molecule, contingent on the as-yet-unknown universal exchange-correlation (XC) functional. Recent research has demonstrated that…

Time-dependent density functional theory (TDDFT) is a widely used method to investigate electron dynamics under external time-dependent perturbations such as laser fields. In this work, we present a machine learning approach to accelerate…

材料科学 · 物理学 2025-12-02 Karan Shah , Attila Cangi

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…

强关联电子 · 物理学 2019-09-04 E. Viñas Boström , P. Helmer , P. Werner , C. Verdozzi

We discuss energy densities in the strong-interaction limit of density functional theory, deriving an exact expression within the definition (gauge) of the electrostatic potential of the exchange-correlation hole. Exact results for small…

化学物理 · 物理学 2012-11-14 André Mirtschink , Michael Seidl , Paola Gori-Giorgi

From a simplified version of the mathematical structure of the strong coupling limit of the exact exchange-correlation functional, we construct an approximation for the electronic repulsion energy at physical coupling strength, which is…

化学物理 · 物理学 2017-05-11 Stefan Vuckovic , Paola Gori-Giorgi

Real-Time Time-Dependent Density Functional Theory (TDDFT) has become an attractive tool to model quantum dynamics on a first-principles Density Functional Theory level. In recent years, several developments and applications in this field…

计算物理 · 物理学 2020-08-21 Joscha Hekele , Peter Kratzer

Density Functional Theory (DFT) stands as a widely used and efficient approach for addressing the many-electron Schr\"odinger equation across various domains such as physics, chemistry, and biology. However, a core challenge that persists…

计算工程、金融与科学 · 计算机科学 2024-12-25 Sizhuo Jin , Shuo Chen , Jianjun Qian , Ying Tai , Jun Li

We derive an exact representation of the exchange-correlation energy within density functional theory (DFT) which spawns a class of approximations leading to correct long-range asymptotic behavior. In what amounts to be the simplest…

材料科学 · 物理学 2009-11-10 Roi Baer , Daniel Neuhauser

To examine the applicability of the time-dependent density-functional theory (TDDFT) for treating the electron-nucleus coupling in excited states, we calculate the strength distribution associated with the pi-pi* transition in ethylene. The…

化学物理 · 物理学 2007-05-23 G. F. Bertsch , J. Giansiracusa , K. Yabana

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…

等离子体物理 · 物理学 2024-10-22 Z. Moldabekov , J. Vorberger , T. Dornheim

Accurate exchange-correlation (XC) potentials for 3-dimensional systems -- via solution of the \emph{inverse} density functional theory (DFT) problem -- are now available to test the quality of DFT approximations. Herein, the \emph{exact}…

化学物理 · 物理学 2021-11-18 Bikash Kanungo , Paul M. Zimmerman , Vikram Gavini

Time-dependent density-functional theory (TDDFT) is an extension of ground-state density-functional theory which allows the treatment of electronic excited states and a wide range of time-dependent phenomena in the linear and nonlinear…

材料科学 · 物理学 2025-10-10 Carsten A. Ullrich

This paper develops a quantitatively accurate first-principles description for the frequency and the linewidth of collective electronic excitations in inhomogeneous weakly disordered systems. A finite linewidth in general has intrinsic and…

介观与纳米尺度物理 · 物理学 2009-11-07 C. A. Ullrich , G. Vignale