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Kohn-Sham (KS) density functional theory (DFT) is a very efficient method for calculating various properties of solids as, for instance, the total energy, the electron density, or the electronic band structure. The KS-DFT method leads to…

A model is developed, based on the density functional perturbation theory and the inverse Kohn-Sham method, that can be used to improve relativistic nuclear energy density functionals towards an exact but unknown Kohn-Sham…

核理论 · 物理学 2021-04-28 Giacomo Accorto , Tomoya Naito , Haozhao Liang , Tamara Niksic , Dario Vretenar

The dielectric function is one of the most important quantities that describes the electrical and optical properties of solids. Accurate modeling of the frequency-dependent dielectric function has great significance in the study of the…

材料科学 · 物理学 2017-01-18 Fan Zheng , Jianmin Tao , Andrew M. Rappe

We show that using coherent, spatially resolved spectroscopy, complex hybrid wave functions can be disentangled into the individual wave functions of the individual emitters. This way, detailed information on the coupling of the individual…

介观与纳米尺度物理 · 物理学 2012-08-23 M. Richter , F. Schlosser , M. Schoth , S. Burger , F. Schmidt , A. Knorr , S. Mukamel

We review the progress that has been recently made in the application of time-dependent density functional theory to thermoelectric phenomena. As the field is very young, we emphasize open problems and fundamental issues. We begin by…

介观与纳米尺度物理 · 物理学 2017-04-26 F. G. Eich , M. Di Ventra , G. Vignale

The derivative discontinuity of the exchange-correlation functional of density-functional theory is cast as the difference of two types of electron affinities. We show that standard Kohn-Sham calculations can be used to calculate both…

化学物理 · 物理学 2007-12-13 F. P. Rosselli , A. B. F. da Silva , K. Capelle

Despite of its huge successes in vast amount of applications, the Kohn-Sham scheme of density functional theory (DFT-Kohn-Sham) has not been able to get reliable ionization potentials (IP) for semiconductors, due to self-interaction error…

材料科学 · 物理学 2016-04-07 Lin-Hui Ye

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…

材料科学 · 物理学 2023-01-11 Rita Maji , Elena Degoli , Monica Calatayud , Valérie Véniard , Eleonora Luppi

It is shown here that Kohn-Sham equations cannot be derived from Hohenberg-Kohn theory without an additional postulate. Assuming that a functional derivative with respect to total electron density exists leads in general to a theory…

凝聚态物理 · 物理学 2007-05-23 R. K. Nesbet

A density-functional theory is established for inhomogeneous superfluids at finite temperature, subject to time-dependent external fields in isothermal conditions. After outlining parallelisms between a neutral superfluid and a charged…

统计力学 · 物理学 2009-10-31 M. L. Chiofalo , M. P. Tosi

We present a broadly-applicable, physically-motivated first-principles approach to determining the fundamental gap of finite systems. The approach is based on using a range-separated hybrid functional within the generalized Kohn-Sham…

材料科学 · 物理学 2015-05-19 Tamar Stein , Helen Eisenberg , Leeor Kronik , Roi Baer

To obtain convergent numerical approximations without using any orthogonalization operations is of great importance in electronic structure calculations. In this paper, we propose and analyze a class of iteration schemes for the discretized…

数值分析 · 数学 2022-09-28 Xiaoying Dai , Liwei Zhang , Aihui Zhou

By inverting the time-dependent Kohn-Sham equation for a numerically exact dynamics of the helium atom, we show that the dynamical step and peak features of the exact correlation potential found previously in one-dimensional models persist…

化学物理 · 物理学 2022-07-28 Davood Dar , Lionel Lacombe , Johannes Feist , Neepa Maitra

This chapter presents the development of a density functional theory (DFT)-based method for accurate, reliable treatment of various resonances in atoms. Many of these are known to be notorious for their strong correlation, proximity to more…

化学物理 · 物理学 2019-04-19 Amlan K. Roy

We formulate a set of equations that facilitate an exact numerical solution of the Kohn-Sham potential for a finite Hubbard chain with nearest neighbour hopping and arbitrary site potentials. The approach relies on a mapping of the…

强关联电子 · 物理学 2018-10-25 Kossi Amouzouvi , Daniel Joubert

In approximate Kohn-Sham density-functional theory, self-interaction manifests itself as the dependence of the energy of an orbital on its fractional occupation. This unphysical behavior translates into qualitative and quantitative errors…

In the presence of a (time-dependent) macroscopic electric field the electron dynamics of dielectrics cannot be described by the time-dependent density only. We present a real-time formalism that has the density and the macroscopic…

材料科学 · 物理学 2016-07-27 M. Grüning , D. Sangalli , C. Attaccalite

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…

From the perspective of perturbation theory, we propose a systematic procedure for the evaluation of the derivative discontinuity (DD) of the exchange-correlation energy functional in Kohn-Sham density functional theory (KS-DFT), wherein…

化学物理 · 物理学 2013-01-17 Jeng-Da Chai , Po-Ta Chen

We examine the density-functional theory of macroscopic insulators, obtained in the large-cluster limit or under periodic boundary conditions. For polar crystals, we find that the two procedures are not equivalent. In a large-cluster case,…

材料科学 · 物理学 2009-10-28 X. Gonze , Ph. Ghosez , R. W. Godby