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We reformulate the strong-interaction limit of electronic density functional theory in terms of a classical problem with a degenerate minimum. This allows us to clarify many aspects of this limit, and to write a general solution, which is…

材料科学 · 物理学 2007-05-23 Michael Seidl , Paola Gori-Giorgi , Andreas Savin

We show that the analytic structure of the dynamical xc kernels of semiconductors and insulators can be sensed in terms of its poles which mark physically relevant frequencies of the system where the counter-phase motion of discrete…

材料科学 · 物理学 2023-04-19 D. R. Gulevich , Ya. V. Zhumagulov , V. Kozin , I. V. Tokatly

Warm dense matter is a highly energetic phase characterized by strong correlations, thermal effects, and quantum mechanical electrons. Thermal density functional theory is commonly used in simulations of this challenging phase, driving the…

化学物理 · 物理学 2024-05-01 Brittany P. Harding , Zachary Mauri , Vera Xie , Aurora Pribram-Jones

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

Specific matrix elements of exchange and correlation kernels in time-dependent density-functional theory are computed. The knowledge of these matrix elements not only constraints approximate time-dependent functionals, but also allows to…

材料科学 · 物理学 2009-10-31 X. Gonze , M. Scheffler

The exact exchange-correlation (xc) potential of time-dependent density functional theory has been shown to have striking features. For example, step and peak features are generically found when the system is far from its ground-state, and…

化学物理 · 物理学 2014-03-11 Kai Luo , Johanna I. Fuks , Ernesto D. Sandoval , Peter Elliott , Neepa T. Maitra

We consider the electrons of a molecule in the adiabatic time-dependent density functional theory approximation. We establish the well-posedness of the time evolution and its linear response close to a non-degenerate ground state, and prove…

偏微分方程分析 · 数学 2024-09-19 Mi-Song Dupuy , Eloïse Letournel , Antoine Levitt

Static correlation error(SCE) inevitably emerges when a dissociation of a covalent bond is described with a conventional denstiy-functional theory (DFT) for electrons. SCE gives rise to a serious overshoot in the potential energy at the…

计算物理 · 物理学 2020-08-10 Hideaki Takahashi

Building on a beyond-GW many-body framework that incorporates higher-order vertex effects in the self-energy -- giving rise to T-matrix and second-order exchange contributions -- this approach is extended to now include the vertex derived…

计算物理 · 物理学 2025-05-14 Brian Cunningham

We calculate the correlation energy of a two-dimensional homogeneous electron gas using several available approximations for the exchange-correlation kernel $f_{\rm xc}(q,\omega)$ entering the linear dielectric response of the system. As in…

介观与纳米尺度物理 · 物理学 2009-11-10 R. Asgari , M. Polini , B. Davoudi , M. P. Tosi

Interpolating the exchange-correlation energy along the density-fixed adiabatic connection of density functional theory is a promising way to build approximations that are not biased towards the weakly correlated regime. These…

强关联电子 · 物理学 2020-12-10 Derk P. Kooi , Paola Gori-Giorgi

We calculate the optical spectra of silicon and germanium in the adiabatic time-dependent density functional formalism, making use of kinetic energy density-dependent (meta-GGA) exchange-correlation functionals. We find excellent agreement…

强关联电子 · 物理学 2011-11-16 V. U. Nazarov , G. Vignale

In this work we have calculated excitation energies and photoionization cross sections of Be and Ne in the exact-exchange (EXX) approximation of time-dependent density functional theory (TDDFT). The main focus has been on the frequency…

介观与纳米尺度物理 · 物理学 2015-05-14 Maria Hellgren , Ulf von Barth

It was recently shown [Y. Suzuki, L. Lacombe, K. Watanabe, and N. T. Maitra, Phys. Rev. Lett. 119, 263401 (2017)] that peak and valley structures in the exact exchange-correlation potential of time-dependent density functional theory are…

化学物理 · 物理学 2018-07-04 Lionel Lacombe , Yasumitsu Suzuki , Kazuyuki Watanabe , Neepa T. Maitra

We show that the leading term in the strong-interaction limit of the adiabatic connection that has as weak-interaction expansion the Moeller-Plesset perturbation theory can be fully determined from a functional of the Hartree-Fock density.…

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

Aiming to remedy the incorrect asymptotic behavior of conventional semilocal exchange-correlation (XC) density functionals for finite systems, we propose an asymptotic correction scheme, wherein an exchange density functional whose…

化学物理 · 物理学 2013-05-17 Chi-Ruei Pan , Po-Tung Fang , Jeng-Da Chai

Following a recent work [E. Fromager, J. Phys. Chem. A 2025, 129, 4, 1143-1155] on the ensemble density functional theory (DFT) of excited electronic energy levels, we derive in this paper the ensuing static linear response theory, thus…

化学物理 · 物理学 2025-09-26 Lucien Dupuy , Emmanuel Fromager

We review the theory and application of adiabatic exchange-correlation (xc-) kernels for ab initio calculations of ground state energies and quasiparticle excitations within the frameworks of the adiabatic connection fluctuation dissipation…

A new parameter-free approximation for the exchange-correlation kernel $f_{\rm xc}$ of time-dependent density functional theory is proposed. This kernel is expressed as an algorithm in which the exact Dyson equation for the response as well…

材料科学 · 物理学 2015-05-28 S. Sharma , J. K. Dewhurst , A. Sanna , E. K. U. Gross

We have calculated the frequency-dependent exact exchange (EXX) kernel of time-dependent (TD) density functional theory employing our recently proposed computational method based on cubic splines. With this kernel we have calculated the…

介观与纳米尺度物理 · 物理学 2009-11-13 Maria Hellgren , Ulf von Barth