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We present new ab initio calculations of the electronic structure of various atoms and molecules in strong magnetic fields ranging from B=10^12 G to 2x10^15 G, appropriate for radio pulsars and magnetars. For these field strengths, the…

天体物理学 · 物理学 2008-11-26 Zach Medin , Dong Lai

The formalism of Kohn and Sham uses a specific (model) hamiltonian which highly simplifies the many-electron problem to that of noninteracting fermions. The theorem of Hohenberg and Kohn tells us that, for a given ground state density, this…

材料科学 · 物理学 2007-07-05 Paola Gori-Giorgi , Julien Toulouse , Andreas Savin

In order to assess the accuracy of commonly used approximate exchange-correlation density functionals, we present a comparison of accurate exchange and correlation potentials, exchange energy densities and energy components with the…

凝聚态物理 · 物理学 2007-05-23 Claudia Filippi , Xavier Gonze , C. J. Umrigar

At the basis of much of computational chemistry is density functional theory, as initiated by the Hohenberg-Kohn theorem. The theorem states that, when nuclei are fixed, nuclear potentials are determined by $1$-electron densities. We recast…

泛函分析 · 数学 2017-11-28 Omar Hijab

A generalization of the Kohn--Sham approach is derived where the correlation-energy functional depends on the one-particle density matrix of noninteracting states and on the external potential from the interacting target-state. The…

化学物理 · 物理学 2007-05-23 James P. Finley

We derive a local approximation for the correlation energy in two-dimensional electronic systems. In the derivation we follow the scheme originally developed by Colle and Salvetti for three dimensions, and consider a Gaussian approximation…

强关联电子 · 物理学 2008-11-21 S. Pittalis , E. Rasanen , M. Marques

The Hohenberg-Kohn theorem plays a fundamental role in density functional theory, which has become a basic tool for the study of electronic structure of matter. In this article, we study the Hohenberg-Kohn theorem for a class of external…

化学物理 · 物理学 2017-09-22 Aihui Zhou

A relativistic density-functional theory based on a Fock-space effective quantum-electrodynamics (QED) Hamiltonian using the Coulomb or Coulomb-Breit two-particle interaction is developed. This effective QED theory properly includes the…

化学物理 · 物理学 2021-05-03 Julien Toulouse

In the exact Kohn-Sham density-functional theory (DFT), the total energy versus the number of electrons is a series of linear segments between integer points. However, commonly used approximate density functionals produce total energies…

材料科学 · 物理学 2013-04-03 Eli Kraisler , Leeor Kronik

In the well-known Kohn-Sham theory in Density Functional Theory, a fictitious non-interacting system is introduced that has the same particle density as a system of $N$ electrons subjected to mutual Coulomb repulsion and an external…

数学物理 · 物理学 2014-04-14 Andre Laestadius

As shown by Overhauser and others, accurate pair densities for the uniform electron gas may be found by solving a two-electron scattering problem with an effective screened electron-electron repulsion. In this work we explore the extension…

材料科学 · 物理学 2009-11-10 Paola Gori-Giorgi , Andreas Savin

Orbital-free Density Functional Theory (OF-DFT) has been used when studying atoms, molecules and solids. In nuclear physics, there has been basically no application of OF-DFT so far, as the Density Functional Theory (DFT) has been widely…

核理论 · 物理学 2023-08-03 Gianluca Colo' , Kouichi Hagino

Recent photoabsorption measurements have revealed a rich fine structure in the collective charge-density excitation spectrum of few-electron quantum dots in the presence of magnetic fields. We have performed systematic computational studies…

介观与纳米尺度物理 · 物理学 2009-10-31 C. A. Ullrich , G. Vignale

Kohn-Sham density functional theory is the base of modern computational approaches to electronic structures. Their accuracy vitally relies on the exchange-correlation energy functional, which encapsulates electron-electron interaction…

计算物理 · 物理学 2019-11-04 Ryo Nagai , Ryosuke Akashi , Osamu Sugino

We present an efficient \textit{ab initio} method for calculating the electronic structure and total energy of strongly correlated electron systems. The method extends the traditional Gutzwiller approximation for one-particle operators to…

强关联电子 · 物理学 2014-07-01 Y. X. Yao , J. Liu , C. Liu , W. C. Lu , C. Z. Wang , K. M. Ho

Most approximate exchange-correlation functionals used within density functional theory are constructed as the sum of two distinct contributions for exchange and correlation. Separating the exchange component from the entire functional is…

凝聚态物理 · 物理学 2009-10-28 Claudia Filippi , C. J. Umrigar , Xavier Gonze

The non-relativistic interacting electron gas in an external field of positively charged massive cores is dealt with in the scheme of second quantization. Ladder operators that change between stationary states of contiguous energy…

量子物理 · 物理学 2025-02-27 Miguel Lagos

Accurate description of deformed atomic nuclei by the orbital-free density functional theory has been a longstanding textbook challenge, due to the difficulty in accounting for the intricate quantum shell effects that are present in such…

核理论 · 物理学 2024-12-31 X. H. Wu , Z. X. Ren , P. W. Zhao

Density Functional Theory (DFT) is one of the most widely used methods for "ab initio" calculations of the structure of atoms, molecules, crystals, surfaces, and their interactions. Unfortunately, the customary introduction to DFT is often…

物理教育 · 物理学 2010-12-07 Nathan Argaman , Guy Makov

The electron density, its gradient, and the Kohn-Sham orbital kinetic energy density are the local ingredients of a meta-generalized gradient approximation (meta-GGA). We construct a meta-GGA density functional for the exchange-correlation…

材料科学 · 物理学 2009-02-20 Jianmin Tao , John P. Perdew , Viktor N. Staroverov , Gustavo E. Scuseria