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A non-empirical exchange functional based on an interpolation between two limits of electron density: slowly varying limit and asymptotic limit, is proposed. In the slowly varying limit, we follow the study by Kleinman in 1984 which…

材料科学 · 物理学 2020-08-04 Teepanis Chachiyo , Hathaithip Chachiyo

We show that as an electron transfers between closed-shell molecular fragments at large separation, the exact correlation potential of time-dependent density functional theory gradually develops a step and peak structure in the bonding…

化学物理 · 物理学 2014-02-11 Johanna I. Fuks , Peter Elliott , Angel Rubio , Neepa T. Maitra

A method to derive the charge current density and its quantum mechanical correlation from the scattering matrix is discussed for quantum scattering systems described by a time-dependent Hamiltonian operator. The current density and charge…

介观与纳米尺度物理 · 物理学 2009-10-31 Tooru Taniguchi

We comment on a recent paper by Yuen-Zhou et al. [ Phys. Chem. Chem. Phys. 2009, 11, 4509 ] which extends some of the results of Time-Dependent Current Density Functional Theory applied to open quantum systems. Besides pointing out some…

介观与纳米尺度物理 · 物理学 2009-11-23 Roberto D'Agosta , Massimiliano Di Ventra

The exchange-correlation hole and potential of the homogeneous electron gas have been investigated within the random-phase approximation, employing the plasmon-pole approximation for the linear density response function. The angular…

强关联电子 · 物理学 2023-04-12 K. Karlsson , F. Aryasetiawan

By propagating the many-body Schr\"odinger equation, we determine the exact time-dependent Kohn-Sham potential for a system of strongly correlated electrons which undergo field-induced tunneling. Numerous features are entirely absent from…

The modified local spin density functional and the related local potential for excited states is tested by employing the ionization potential theorem. The functional is constructed by splitting $k$-space. Since its functional derivative…

化学物理 · 物理学 2014-05-23 M. Hemanadhan , Md. Shamim , Manoj K. Harbola

We train a neural network as the universal exchange-correlation functional of density-functional theory that simultaneously reproduces both the exact exchange-correlation energy and potential. This functional is extremely non-local, but…

计算物理 · 物理学 2019-10-10 Jonathan Schmidt , Carlos L. Benavides-Riveros , Miguel A. L. Marques

The problem of degenerate ground states of open-shell atoms is investigated in spin-restricted and unrestricted density functional theory using the exact exchange energy functional. For the spin-unrestricted case, spurious energy splittings…

原子物理 · 物理学 2009-11-11 S. Pittalis , S. Kurth , E. K. U. Gross

Local density approximation for the exchange energy is made for treatment of excited-states in density-functional theory. It is shown that taking care of the state-dependence of the LDA exchange energy functional leads to accurate…

其他凝聚态物理 · 物理学 2007-05-23 Manoj K. Harbola , Prasanjit Samal

Charge transfer plays a crucial role in many processes of interest in physics, chemistry, and bio-chemistry. In many applications the size of the systems involved calls for time-dependent density functional theory (TDDFT) to be used in…

化学物理 · 物理学 2017-10-11 Neepa T. Maitra

In this paper we present a new approach how to extract polarization-dependent exchange-correlation energy densities for two-dimensional systems from reference densities and energies of quantum dots provided by exact diagonalization.…

介观与纳米尺度物理 · 物理学 2009-11-10 Andreas Wensauer , Ulrich Rössler

Density functional calculations can fail for want of an accurate exchange-correlation approximation. The energy can instead be extracted from a sequence of density functional calculations of conditional probabilities (CP-DFT). Simple CP…

The exact exchange potential in time-dependent density-functional theory is defined as an orbital functional through the time-dependent optimized effective potential (TDOEP) method. We numerically solve the TDOEP integral equation for the…

介观与纳米尺度物理 · 物理学 2009-11-13 H. O. Wijewardane , C. A. Ullrich

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

Based on recent progress on fermionic exchange symmetry we propose a way to develop new functionals for reduced density matrix functional theory. For some settings with an odd number of electrons, by assuming saturation of the inequalities…

强关联电子 · 物理学 2018-10-23 Carlos L. Benavides-Riveros , Miguel A. L. Marques

A density-matrix formalism is developed based on the one-particle density-matrix of a single-determinantal reference-state. The v-representable problem does not appear in the proposed method, nor the need to introduce functionals defined by…

化学物理 · 物理学 2009-11-10 James P. Finley

The time-dependent exchange-correlation potential has an unusual task in directing fictitious non-interacting electrons to move with exactly the same probability density as true interacting electrons. This has intriguing implications for…

化学物理 · 物理学 2024-06-19 Davood Dar , Lionel Lacombe , Neepa T. Maitra

We introduce an energy functional for ground-state electronic structure calculations. Its variables are the natural spin-orbitals of singlet many-body wave functions and their joint occupation probabilities deriving from controlled…

化学物理 · 物理学 2016-12-04 Ralph Gebauer , Morrel H. Cohen , Roberto Car

Conditional-probability density functional theory (CP-DFT) is a formally exact method for finding correlation energies from Kohn-Sham DFT without evaluating an explicit energy functional. We present details on how to generate accurate…

化学物理 · 物理学 2022-05-04 Dennis Perchak , Ryan J. McCarty , Kieron Burke