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Adsorbed transition metal atoms can have partially filled $d$- or $f$-shells due to strong on-site Coulomb interaction. Capturing all effects originating from electron correlation in such strongly correlated systems is a challenge for…

强关联电子 · 物理学 2018-01-17 Marc Philipp Bahlke , Michael Karolak , Carmen Herrmann

We present calculations of the correlation energies of crystalline solids and isolated systems within the adiabatic-connection fluctuation-dissipation formulation of density-functional theory. We perform a quantitative comparison of a set…

材料科学 · 物理学 2016-07-29 Christopher E. Patrick , Kristian S. Thygesen

In this paper, an alternative method to range-separated linear-response time-dependent density-functional theory and perturbation theory is proposed to improve the estimation of the energies of a physical system from the energies of a…

化学物理 · 物理学 2015-06-24 Elisa Rebolini , Julien Toulouse , Andrew M. Teale , Trygve Helgaker , Andreas Savin

The performance of functionals based on the idea of interpolating between the weak and the strong-interaction limits the global adiabatic-connection integrand is carefully studied for the challenging case of noble-metal clusters. Different…

化学物理 · 物理学 2018-04-18 S. Giarrusso , P. Gori-Giorgi , F. Della Sala , E. Fabiano

The adiabatic connection formula of ground-state density functional theory relates the correlation energy to a coupling-constant integral over a purely potential contribution, and is widely used to understand and improve approximations. The…

化学物理 · 物理学 2016-06-01 Aurora Pribram-Jones , Kieron Burke

Improving the accuracy and thus broadening the applicability of electronic density functional theory (DFT) is crucial to many research areas, from material science, to theoretical chemistry, biophysics and biochemistry. In the last three…

强关联电子 · 物理学 2019-03-27 Paola Gori-Giorgi , Michael Seidl

Motivated by the considerable importance of material properties in modern condensed matter physics research, and using techniques of the $N_{e}$ -electron systems in terms of the electron density $n_{\sigma e}\left( r\right) $ needed to…

材料科学 · 物理学 2024-07-19 A. Belhaj , S. E. Ennadifi

We illustrate the scope of Time Dependent Density Functional Theory (TDDFT) for strongly correlated (lattice) models out of equilibrium. Using the exact many body time evolution, we reverse engineer the exact exchange correlation (xc)…

介观与纳米尺度物理 · 物理学 2008-08-12 Claudio Verdozzi

Using an accurate semi-analytic wavefunction for two electron atoms, we construct the external potential for varying strength of electron-electron (e-e) interaction. Using this potential we explicitly calculate the energy of their positive…

原子与分子团簇 · 物理学 2016-02-18 Rabeet Singh Chauhan , Manoj K. Harbola

Many recent applications of time-dependent density functional theory begin in an initially excited state, and propagate it using an adiabatic approximation for the exchange-correlation potential. This however inserts the excited-state…

化学物理 · 物理学 2012-04-02 Peter Elliott , Neepa T. Maitra

We formulate a rigorous method for calculating a nonadiabatic (frequency-dependent) exchange-correlation (XC) kernel required for correct description of both equilibrium and nonequilibrium properties of strongly correlated systems within…

强关联电子 · 物理学 2014-10-13 Volodymyr Turkowski , Talat S. Rahman

Using the formalism of the conditional amplitude, we study the response part of the exchange-correlation potential in the strong-coupling limit of density functional theory, analysing its peculiar features and comparing it with the response…

化学物理 · 物理学 2019-03-26 Sara Giarrusso , Stefan Vuckovic , Paola Gori-Giorgi

Standard flavors of density-functional theory (DFT) calculations are known to fail in describing anions, due to large self-interaction errors. The problem may be circumvented by using localized basis sets of reduced size, leaving no…

化学物理 · 物理学 2019-12-23 Francesco Nattino , Céline Dupont , Nicola Marzari , Oliviero Andreussi

While in principle exact, Kohn-Sham density functional theory -- the workhorse of computational chemistry -- must rely on approximations for the exchange-correlation functional. Despite staggering successes, present-day approximations still…

Excitation energies of light-emitting organic conjugated polymers have been investigated with time-dependent density functional theory (TDDFT) within the adiabatic approximation for the dynamical exchange-correlation potential. Our…

材料科学 · 物理学 2009-07-06 Jianmin Tao , Sergei Tretiak , Jian-Xin Zhu

We investigate whether the entropic regularisation of the strictly-correlated-electrons problem can be used to build approximations for the kinetic correlation energy functional at large coupling strengths and, more generally, to gain new…

化学物理 · 物理学 2019-12-13 Augusto Gerolin , Juri Grossi , Paola Gori-Giorgi

Strong correlation can be essentially captured with multireference wavefunction methods such as complete active space self-consistent field (CASSCF) or density matrix renormalization group (DMRG). Still, an accurate description of the…

We use continuum mechanics [Tao \emph{et al}, PRL{\bf 103},086401] to approximate the dynamic density response of interacting many-electron systems. Thence we develop a numerically efficient exchange-correlation energy functional based on…

介观与纳米尺度物理 · 物理学 2012-08-28 Tim Gould , John F. Dobson

Density functional theory at finite temperatures often relies on the zero-temperature approximation, which uses a ground-state exchange-correlation functional with thermalized densities. This approach, however, neglects the explicit…

其他凝聚态物理 · 物理学 2026-03-26 Brianna Aguilar-Solis , Brittany P. Harding , Aurora Pribram-Jones

We investigate the behavior of three-dimensional (3D) exchange-correlation energy functional approximations of density functional theory in anisotropic systems with two-dimensional (2D) character. Using two simple models, quasi-2D electron…

介观与纳米尺度物理 · 物理学 2009-10-31 Yong-Hoon Kim , In-Ho Lee , Satyadev Nagaraja , Jean-Pierre Leburton , Randolph Q. Hood , Richard M. Martin