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Employing a local formula for the electron-electron interaction energy, we derive a self-consistent approximation for the total energy of a general $N$-electron system. Our scheme works as a local variant of the Thomas-Fermi approximation…

化学物理 · 物理学 2013-10-31 E. Rasanen , A. Odriazola , I. Makkonen , A. Harju

In the exact Kohn-Sham density-functional theory (DFT), the total energy versus the number of electrons is a series of linear segments between integer points. However, commonly used approximate density functionals produce total energies…

材料科学 · 物理学 2013-04-03 Eli Kraisler , Leeor Kronik

A density functional theory is developed for fermions in one dimension, interacting via a delta-function. Such systems provide a natural testing ground for questions of principle, as the local density approximation should work well for…

其他凝聚态物理 · 物理学 2007-05-23 R. J. Magyar , K. Burke

Density Functional Theory relies on universal functionals characteristic of a given system. Those functionals in general are different for the electron gas and for jellium (electron gas with uniform background). However, jellium is…

统计力学 · 物理学 2017-05-23 James W. Dufty

Using the newly introduced theory of finite-temperature reduced density matrix functional theory, we apply the first-order approximation to the homogeneous electron gas. We consider both collinear spin states as well as symmetry broken…

强关联电子 · 物理学 2015-03-20 Tim Baldsiefen , F. G. Eich , E. K. U. Gross

We propose a practical approximation to the exchange-correlation functional of (time-dependent) density functional theory for many-electron systems coupled to photons. The (time non-local) optimized effective potential (OEP) equation for…

介观与纳米尺度物理 · 物理学 2015-09-02 Camilla Pellegrini , Johannes Flick , Ilya V. Tokatly , Heiko Appel , Angel Rubio

A formulation of the density functional theory is constructed on the foundations of entropic inference. The theory is introduced as an application of maximum entropy for inhomogeneous fluids in thermal equilibrium. It is shown that entropic…

统计力学 · 物理学 2023-12-29 Ahmad Yousefi , Ariel Caticha

In this article we review results of computer simulation of glasses carried out using first principles approaches, notably density functional theory. We start with a brief introduction to this method and compare the pros and cons of this…

无序系统与神经网络 · 物理学 2016-04-28 Walter Kob , Simona Ispas

Current-density-functional theory is used to calculate ionization energies of current-carrying atomic states. A perturbative approximation to full current-density-functional theory is implemented for the first time, and found to be…

材料科学 · 物理学 2009-11-10 E. Orestes , T. Marcasso , K. Capelle

A first-principles approach is introduced to calculate electron field emission characteristics of nanostructures, based on the nonequilibrium Green function technique combined with the density functional theory. The method employs…

介观与纳米尺度物理 · 物理学 2014-11-19 Hyon-Chol Choe , Nam-Hyok Kim , Hyok Kim , Song-Jin Im

While the vast majority of calculations reported on molecular conductance have been based on the static non-equilibrium Green's function formalism combined with density functional theory, in recent years a few time-depedent approaches to…

We introduced a new electron density n({\epsilon}) by projecting the spatial electron density n(r) onto the energy coordinate {\epsilon} defined with the external potential \upsion (r) of interest. Then, a density functional theory (DFT)…

化学物理 · 物理学 2018-02-20 Hideaki Takahashi

A new reference state for density functional theory, termed the independent atom ansatz, is introduced in this work. This ansatz allows for the exact representation of electron density in terms of non-interacting, atom-localized orbitals.…

化学物理 · 物理学 2024-05-03 Alexander V. Mironenko

Using the Runge-Gross theorem that establishes the foundation of Time-dependent Density Functional Theory (TDDFT) we prove that for a given electronic Hamiltonian, choice of initial state, and choice of fragmentation, there is a unique…

化学物理 · 物理学 2015-06-15 Martin A. Mosquera , Daniel Jensen , Adam Wasserman

In the current density functional theory of linear and nonlinear time-dependent phenomena, the treatment of exchange and correlation beyond the level of the adiabatic local density approximation is shown to lead to the appearance of…

凝聚态物理 · 物理学 2009-10-30 G. Vignale , C. A. Ullrich , S. Conti

Accurate treatment of the electronic correlation in inhomogeneous electronic systems, combined with the ability to capture the correlation energy of the homogeneous electron gas, allows to reach high predictive power in the application of…

强关联电子 · 物理学 2010-06-22 E. Rasanen , S. Pittalis , C. R. Proetto

The exact conditions for density functionals and density matrix functionals in terms of fractional charges and fractional spins are known, and their violation in commonly used functionals has been shown to be the root of many major failures…

其他凝聚态物理 · 物理学 2015-06-16 Weitao Yang , Paula Mori-Sanchez , Aron J. Cohen

Density functional theory (DFT) is an essential building block for modern theoretical physics, chemistry, and engineering, especially those concerning electronic properties. Through decades of development, various program packages for…

材料科学 · 物理学 2022-11-21 Yusuke Nomura , Ryosuke Akashi

Transport in molecular electronic devices is different from that in semiconductor mesoscopic devices in two important aspects: (1) the effect of the electronic structure and (2) the effect of the interface to the external contact. A…

介观与纳米尺度物理 · 物理学 2009-11-07 Yongqiang Xue , Supriyo Datta , Mark A. Ratner

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