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The Singwi, Sjolander, Tosi, Land (SSTL) approach is generalized to study the spin correlation effects in a one dimensional electron gas. It is shown that the SSTL approach is capable of generating results comparable to the more widely used…

凝聚态物理 · 物理学 2007-05-23 Murat Tas , Mehmet Tomak

The ground states of the homogeneous electron gas and the homogeneous electron liquid are cornerstones in quantum physics and chemistry. They are archetypal systems in the regime of slowly varying densities in which the exchange-correlation…

强关联电子 · 物理学 2023-08-28 L. V. Duc Pham , Pascal Sattler , Miguel A. L. Marques , Carlos L. Benavides-Riveros

For inhomogeneous interacting electronic systems under a time-dependent electromagnetic perturbation, we derive the linear equation for response functions in a quantum mechanical manner. It is a natural extension of the original…

其他凝聚态物理 · 物理学 2017-10-24 Taichi Kosugi , Yu-ichiro Matsushita

Local and semilocal density-functional approximations for the exchange-correlation energy fail badly in the zero-thickness limit of a quasi-two-dimensional electron gas, where the density variation is rapid almost everywhere. Here we show…

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

The ground-state behavior of the symmetric electron-electron and electron-hole bilayers is studied by including dynamic correlation effects within the quantum version of Singwi, Tosi, Land, and Sjolander (qSTLS) theory. The static…

强关联电子 · 物理学 2009-11-07 R. K. Moudgil , L. K. Saini , Gaetano Senatore

We study the ground state properties of a quasi one dimensional electron gas, interacting via an effective potential with a harmonic transversal confinement and long range Coulomb tail. The exact correlation energy has been calculated for a…

强关联电子 · 物理学 2013-05-29 Michele Casula , Sandro Sorella , Gaetano Senatore

We introduce a generalization (gLDA) of the traditional Local Density Approximation (LDA) within density functional theory. The gLDA uses both the one-electron Seitz radius $\rs$ and a two-electron hole curvature parameter $\eta$ at each…

化学物理 · 物理学 2015-06-18 Pierre-François Loos , Caleb J. Ball , Peter M. W. Gill

We apply the quantum Singwi-Tosi-Land-Sjolander (QSTLS) theory for a study of many-body effects in the quasi-two-dimensional (Q2D) electron liquid (EL) in GaAs/AlxGa1-xAs heterojunctions. The effect of the layer thickness is included…

介观与纳米尺度物理 · 物理学 2007-05-23 Nguyen Thanh Son , Nguyen Quoc Khanh

We construct the complementary short-range correlation relativistic local-density-approximation functional to be used in relativistic range-separated density-functional theory based on a Dirac-Coulomb Hamiltonian in the no-pair…

化学物理 · 物理学 2021-05-26 Julien Paquier , Julien Toulouse

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

A few approximate schemes to solve the Hedin equations self-consistently introduced in (Phys. Rev. B 94, 155101 (2016)) are explored and tested for the 3D electron gas at metallic densities. We calculate one electron spectra, dielectric…

强关联电子 · 物理学 2017-07-12 A. L. Kutepov , G. Kotliar

We introduce a new paradigm for finite and infinite strict-one-dimensional uniform electron gases. In this model, $n$ electrons are confined to a ring and interact via a bare Coulomb operator. In the high-density limit (small-$r_s$, where…

强关联电子 · 物理学 2012-08-15 Pierre-François Loos , Peter M. W. Gill

The Generalized Slater-Jastrow trial functional is a modification of the Slater-Jastrow functional where, effectively, the argument of the Jastrow factor can be momentum dependent. The associated Euler equations, which provide an…

强关联电子 · 物理学 2021-09-06 James C Porter

We generalize the uniform-gas correlation energy formalism of Singwi, Tosi, Land and Sjolander to the case of an arbitrary inhomogeneous many-particle system. For jellium slabs of finite thickness with a self-consistent LDA groundstate…

凝聚态物理 · 物理学 2009-11-07 John F. Dobson , Jun Wang , Tim Gould

Phase correlations, density fluctuations and three-body loss rates are relevant for many experiments in quasi one-dimensional geometries. Extended mean-field theory is used to evaluate correlation functions up to third order for a quasi…

介观与纳米尺度物理 · 物理学 2009-11-13 M. Eckart , R. Walser , W. P. Schleich

We use, for the first time, ab initio coupled-cluster theory to compute the spectral function of the uniform electron gas at a Wigner-Seitz radius of $r_\mathrm{s}=4$. The coupled-cluster approximations we employ go significantly beyond the…

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

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

We calculate the short-range exchange-correlation energy of the uniform electron gas with two modified electron-electron interactions. While the short-range exchange functionals are calculated analytically, Coupled-Cluster and…

材料科学 · 物理学 2016-08-16 Julien Toulouse , Andreas Savin , Heinz-Jürgen Flad

The homogeneous electron gas is one of the most studied model systems in condensed matter physics. It is also at the basis of the large majority of approximations to the functionals of density functional theory. As such, its…

强关联电子 · 物理学 2020-07-14 Robert Schlesier , Carlos L. Benavides-Riveros , Miguel A. L. Marques
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