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We derive from first principles the existence of a low-frequency plasmon in a strongly coupled three-dimensional homogeneous electron gas (HEG). From its dispersion and its satisfaction of the 3rd frequency sum rule we identify it with the…

Plasma Physics · Physics 2023-12-29 Gabor J. Kalman , Kenneth I. Golden , Luciano G. Silvestri

We report an analytical representation of the correlation energy ec(rs, zeta) for a uniform electron gas (UEG), where rs is the Seitz radius or density parameter and zeta is the relative spin polarization. The new functional, called W20, is…

Chemical Physics · Physics 2021-01-27 Qing-Xing Xie , Jiashun Wu , Yan Zhao

In this work we propose a novel composite method for accurate calculation of the energies of many-electron atoms. The dominant contribution to the energy (pair energies) are calculated by using explicitly correlated factorisable coupled…

Atomic Physics · Physics 2018-12-12 Michal Przybytek , Michal Lesiuk

We present a novel combination of quantum Monte Carlo methods and a finite size extrapolation framework with which we calculate the thermodynamic limit of the exact correlation energy of the polarized electron gas at high densities to meV…

Strongly Correlated Electrons · Physics 2018-10-17 Michele Ruggeri , Pablo López Ríos , Ali Alavi

A simple, practical model for computing the equilibrium thermodynamics and structure of jellium by classical strong coupling methods is proposed. An effective pair potential and coupling constant are introduced, incorporating the ideal gas,…

Statistical Mechanics · Physics 2016-11-04 Sandipan Dutta , James Dufty

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…

Strongly Correlated Electrons · Physics 2021-08-03 Takeru Yokota , Tomoya Naito

The variational and diffusion quantum Monte Carlo methods are used to calculate the correlation energy of the paramagnetic three-dimensional homogeneous electron gas at intermediate to high density. Ground state energies in finite cells are…

Strongly Correlated Electrons · Physics 2023-03-29 Sam Azadi , N. D. Drummond , S. M. Vinko

We derive approximate expressions for the static local field factors of a spin polarized two-dimensional electron gas which smoothly interpolate between their small- and large-wavevector asymptotic limits. For the unpolarized electron gas,…

Strongly Correlated Electrons · Physics 2009-11-07 Juana Moreno , D. C. Marinescu

We calculate the ground state phase diagram of the homogeneous electron gas in three dimensions within the Hartree-Fock approximation and show that broken symmetry states are energetically favored at any density against the homogeneous…

Strongly Correlated Electrons · Physics 2014-03-04 Lucas Baguet , François Delyon , Bernard Bernu , Markus Holzmann

In a double polarised electron scattering experiment data have been taken from which $G_E^n$ can be extracted for $Q^2=0.2{GeV}^2/c^2$. We have measured asymmetries corresponding to the spin-spin correlation functions $A'_x$ and $A'_z$ and…

Nuclear Experiment · Physics 2007-05-23 9405 collaboration , D. J. Boersma

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…

Strongly Correlated Electrons · Physics 2017-07-12 A. L. Kutepov , G. Kotliar

We consider the two-dimensional one-component plasma (jellium) of mobile pointlike particles with the same charge $e$, interacting pairwisely by the logarithmic Coulomb potential and immersed in a fixed neutralizing background charge…

Statistical Mechanics · Physics 2020-01-29 Ladislav Šamaj

In this paper, we have considered the mechanical stability of a jellium system in the presence of spin degrees of freedom and have generalized the stabilized jellium model, introduced by J. P. Perdew, H. Q. Tran, and E. D. Smith [Phys. Rev.…

Materials Science · Physics 2009-10-30 M. Payami , N. Nafari

Correlation effects of an electron gas in an external potential are derived using an Effective Action functional method. Corrections beyond the random phase approximation (RPA) are naturally incorporated by this method. The Effective Action…

Materials Science · Physics 2009-11-10 A. Rebei , W. N. G. Hitchon

Electron-electron correlation forms the basis of difficulties encountered in many-body problems. Accurate treatment of the correlation problem is likely to unravel some nice physical properties of matter embedded in this correlation. In an…

Quantum Physics · Physics 2022-03-24 Eric Ouma Jobunga

The density-density correlations of the non-interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and…

Plasma Physics · Physics 2025-09-24 Panagiotis Tolias , Tobias Dornheim , Jan Vorberger

A remarkably long-lived spin plasmon may exist in two-dimensional electron liquids with imbalanced spin up and spin down population. Predictions for this interesting mode by Agarwal et al. [Phys. Rev. B 90, 155409 (2014)] are based on the…

Mesoscale and Nanoscale Physics · Physics 2016-03-09 Dominik Kreil , Raphael Hobbiger , Jürgen T. Drachta , Helga M. Böhm

Modifications of spin-splitting dispersion relations and density of states for electrons in non-symmetric heterostructures under in-plane magnetic field are studied within the envelope function formalism. Spin-orbit interactions, caused by…

Materials Science · Physics 2009-11-11 A. Hernandez-Cabrera , P. Aceituno , F. T. Vasko

Extending on ideas of Lewin, Lieb and Seiringer (Phys Rev B, 100, 035127, (2019)) we present a modified "floating crystal" trial state for Jellium (also known as the classical homogeneous electron gas) with density equal to a characteristic…

Mathematical Physics · Physics 2021-08-13 Asbjørn Bækgaard Lauritsen

We consider electronic exchange and correlation effects in density-functional calculations of two-dimensional systems. Starting from wave function calculations of total energies and electron densities of inhomogeneous model systems, we…

Mesoscale and Nanoscale Physics · Physics 2012-05-30 Ilja Makkonen , Mikko M. Ervasti , Ville Kauppila , Ari Harju