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A Kohn-Sham density-functional energy expression is derived for any (ground or excited) state within a given many-electron ensemble along with the stationarity condition it fulfills with respect to the ensemble density, thus giving access…

化学物理 · 物理学 2025-01-22 Emmanuel Fromager

Following a recent work [Gal, Phys. Rev. A 64, 062503 (2001)], a simple derivation of the density-functional correction of the Hartree-Fock equations, the Hartree-Fock-Kohn-Sham equations, is presented, completing an integrated view of…

化学物理 · 物理学 2008-09-11 Tamas Gal

We present and discuss some ideas concerning an ``average-pair-density functional theory'', in which the ground-state energy of a many-electron system is rewritten as a functional of the spherically and system-averaged pair density. These…

材料科学 · 物理学 2009-11-11 Paola Gori-Giorgi , Andreas Savin

The role of the exchange-correlation potential and the exchange-correlation kernel in the calculation of excitation energues from time-dependent density functional theory is studied. Excitation energies of the He and Be atoms are…

材料科学 · 物理学 2007-05-23 Martin Petersilka , E. K. U. Gross , Kieron Burke

We develop a semiclassical density functional theory in the context of quantum dots. Coulomb blockade conductance oscillations have been measured in several experiments using nanostructured quantum dots. The statistical properties of these…

介观与纳米尺度物理 · 物理学 2009-10-31 Denis Ullmo , Tatsuro Nagano , Steven Tomsovic , Harold U. Baranger

We obtain the conductance of a system of electrons connected to leads, within time-dependent density-functional theory, using a direct relation between the conductance and the density response function. Corrections to the non-interacting…

材料科学 · 物理学 2007-10-04 P. Bokes , J. Jung , R. W. Godby

The multi-component density functional theory is faced with the challenge of capturing various types of inter- and intra-particle exchange-correlation effects beyond those introduced by the conventional electronic exchange-correlation…

原子与分子团簇 · 物理学 2023-12-27 Nahid Sadat Riyahi , Mohammad Goli , Shant Shahbazian

Density functional theory can be extended to excited states by means of a unified variational approach for passive state ensembles. This extension overcomes the restriction of the typical density functional approach to ground states, and…

化学物理 · 物理学 2019-07-10 Tim Gould , Stefano Pittalis

We devise a nonlocal correlation energy functional that describes the entire range of dispersion interactions in a seamless fashion using only the electron density as input. The new functional is considerably simpler than its predecessors…

化学物理 · 物理学 2010-12-27 Oleg A. Vydrov , Troy Van Voorhis

A fundamental weakness of density functional theory (DFT) is the difficulty in making systematic improvements to approximations for the exchange and correlation functionals. In this paper, we follow a wave-function-based approach [N.I.…

化学物理 · 物理学 2018-10-05 Timothy J. Callow , Nikitas I. Gidopoulos

A generating coordinate is introduced into the exchange-correlation functional of density-functional theory (DFT). The many-body wave function is represented as a superposition of Kohn-Sham (KS) Slater determinants arising from different…

材料科学 · 物理学 2009-11-07 K. Capelle

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…

计算物理 · 物理学 2019-07-17 Uliana Mordovina , Teresa E. Reinhard , Iris Theophilou , Heiko Appel , Angel Rubio

We compare two different approaches to investigations of many-electron systems. The first is the Hartree-Fock (HF) method and the second is the Density Functional Theory (DFT). Overview of the main features and peculiar properties of the HF…

材料科学 · 物理学 2009-11-07 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan

We present a substantial extension of our constraint-based approach for development of orbital-free (OF) kinetic-energy (KE) density functionals intended for the calculation of quantum-mechanical forces in multi-scale molecular dynamics…

材料科学 · 物理学 2015-05-13 V. V. Karasiev , R. S. Jones , S. B. Trickey , Frank E. Harris

We study the thermal conductivity of the disordered two-dimensional electron gas. To this end we analyze the heat density-heat density correlation function concentrating on the scattering processes induced by the Coulomb interaction in the…

介观与纳米尺度物理 · 物理学 2016-03-23 G. Schwiete , A. M. Finkel'stein

Reference system approach of non-relativistic electron fluid theory was adapted for calculation of characteristics of the electron-nuclear model at the densities typical of degenerate dwarfs. Two- and three correlation functions of…

统计力学 · 物理学 2017-12-15 M. V. Vavrukh , D. V. Dzikovskyi , N. L. Tyshko

A non-relativisitic nuclear density functional theory is constructed, not as usual, from an effective density dependent nucleon-nucleon force but directly introducing in the functional results from microscopic nuclear and neutron matter…

核理论 · 物理学 2008-11-26 M. Baldo , P. Schuck , X. Vinas

Fractional occupation numbers can be used in density functional theory to create a symmetric Kohn-Sham potential, resulting in orbitals with degenerate eigenvalues. We develop the corresponding perturbation theory and apply it to a system…

材料科学 · 物理学 2016-09-09 Mark C. Palenik , Brett I. Dunlap

Thermal density functional theory calculations often use the Mermin-Kohn-Sham scheme, but employ ground-state approximations to the exchange-correlation (XC) free energy. In the simplest solvable nontrivial model, an asymmetric Hubbard…

强关联电子 · 物理学 2016-06-29 Justin C Smith , Aurora Pribram-Jones , Kieron Burke

A new class of analytic wave functions is derived for two dimensional N-electron (2 <= N < infinity) systems in high magnetic fields. These functions are constructed through breaking (at the Hartree-Fock level) and subsequent restoration…

介观与纳米尺度物理 · 物理学 2008-12-18 Constantine Yannouleas , Uzi Landman