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Within density-functional theory, the local-density approximation (LDA) correlation functional is typically built by fitting the difference between the near-exact and Hartree-Fock (HF) energies of the uniform electron gas (UEG), together…

化学物理 · 物理学 2017-05-01 Fergus J. M. Rogers , Caleb J. Ball , Pierre-François Loos

A semi-relativistic density-functional theory that includes spin-orbit couplings and Zeeman fields on equal footing with the electromagnetic potentials, is an appealing framework to develop a unified first-principles computational approach…

材料科学 · 物理学 2017-09-13 S. Pittalis , G. Vignale , F. G. Eich

The one-particle Green function of a many-electron system is traditionally formulated within the self-energy picture. A different formalism was recently proposed, in which the self-energy is replaced by a dynamical exchange-correlation…

强关联电子 · 物理学 2025-05-27 F. Aryasetiawan

Accurately treating strong electron correlation in quantum chemistry typically requires multireference wave-function methods with steep computational scaling. The recently proposed i-DMFT method promises near configuration-interaction…

化学物理 · 物理学 2026-04-23 Paul G. Graf , Florian Matz , Lexin Ding , Julia Liebert , Markus Penz , Christian Schilling

Coordinate scaling of each spin density separately is considered in spin density functional theory. A virial theorem relates the spin-scaled correlation energy to the spin-scaled correlation potentials. An adiabatic connection formula…

材料科学 · 物理学 2009-11-07 R. J. Magyar , T. K. Whittingham , K. Burke

Linearizing the Heisenberg equations of motion around the ground state of an interacting quantum many-body system, one gets a time-evolution generator in the positive cone of a real symplectic Lie algebra. The presence of disorder in the…

介观与纳米尺度物理 · 物理学 2009-11-11 T. Lueck , H. -J. Sommers , M. R. Zirnbauer

We test the Coulomb exchange and correlation energy density functionals of electron systems for atomic nuclei in the local density approximation (LDA) and the generalized gradient approximation (GGA). For the exchange Coulomb energies, it…

核理论 · 物理学 2018-04-25 Tomoya Naito , Ryosuke Akashi , Haozhao Liang

We point out that a typical two-electron distribution function in atoms and molecules often called the intracule depends sensitively on the electron-electron repulsion which leads to the so-called Coulomb correlation. The difference between…

原子物理 · 物理学 2020-05-13 Golam Ali Sekh , Benoy Talukdar , Supriya Chatterjee

We consider a two-dimensional Coulomb gas of positive and negative pointlike unit charges interacting via a logarithmic potential. The density (rather than the charge) correlation functions are studied. In the bulk, the form-factor theory…

统计力学 · 物理学 2007-05-23 L. Šamaj , B. Jancovici

We resolve the long-standing controversy over the surface energy of simple metals: Density functional methods that require uniform-electron-gas input agree with each other at many levels of sophistication, but not with high-level correlated…

材料科学 · 物理学 2009-11-13 Lucian A. Constantin , J. M. Pitarke , J. F. Dobson , A. Garcia-Lekue , John P. Perdew

This is a follow-up of our recently proposed work on pseudopotential calculation (Ref. [21]) of atoms and molecules within DFT framework, using cartesian coordinate grid. Detailed results are presented to demonstrate the usefulness,…

化学物理 · 物理学 2015-05-18 Amlan K. Roy

We analyze a decomposition of the Coulomb electron-electron interaction into a long-range and a short-range part in the framework of density functional theory, deriving some scaling relations and the corresponding virial theorem. We study…

化学物理 · 物理学 2015-06-26 Julien Toulouse , Paola Gori-Giorgi , Andreas Savin

The exchange-correlation hole density of the infinitely stretched (dissociated) hydrogen molecule can be cast into a closed analytical form by using its exact wave function. This permits to obtain an explicit exchange-correlation energy…

化学物理 · 物理学 2017-11-16 Eduard Matito , David Casanova , Xabier Lopez , Jesus M. Ugalde

Implicit and explicit density functionals for the exchange energy in finite two-dimensional systems are developed following the approach of Becke and Roussel [Phys. Rev. A 39, 3761 (1989)]. Excellent agreement for the exchange-hole…

强关联电子 · 物理学 2008-05-08 S. Pittalis , E. Rasanen , N. Helbig , E. K. U. Gross

Ground and excited states of a confined negative Hydrogen ion has been pursued under Kohn-Sham density functional approach by invoking a physically motivated work-function-based exchange potential. The exchange-only results are of near…

原子物理 · 物理学 2022-05-23 Sangita Majumdar , Neetik Mukherjee , Amlan K. Roy

High quality reference data from diffusion Monte Carlo calculations are presented for bulk sI methane hydrate, a complex crystal exhibiting both hydrogen-bond and dispersion dominated interactions. The performance of some commonly used…

材料科学 · 物理学 2014-05-13 Stephen J. Cox , Michael D. Towler , Dario Alfè , Angelos Michaelides

We show an $\textit{ab initio}$ construction of the energy density functional (EDF) for electron systems using the functional renormalization group. The correlation energies of the homogeneous electron gas given in our framework reproduce…

强关联电子 · 物理学 2021-08-03 Takeru Yokota , Tomoya Naito

An approach to electron correlation effects in atoms that uses quantum trajectories is presented. A comparison with the exact quantum mechanical results for 1D Helium atom shows that the major features of the correlated ground state…

原子物理 · 物理学 2025-02-07 Ivan P. Christov

We have used the analogy between gravitational systems and non-homogeneous fluid flows to calculate the density-density correlation function of an atomic Bose-Einstein condensate in the presence of an acoustic black hole. The emission of…

其他凝聚态物理 · 物理学 2009-07-20 Roberto Balbinot , Alessandro Fabbri , Serena Fagnocchi , Alessio Recati , Iacopo Carusotto

Basis set convergence of the Hartree-Fock and the correlation energy is examined for the hydrogen bonded infinite bent chains (HF)_infinity and (HCl)_infinity. We employ series of correlation consistent basis sets up to quintuple zeta…

其他凝聚态物理 · 物理学 2007-05-23 Christian Buth , Beate Paulus