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In a recent publication [S. Groth \textit{et al.}, PRB (2016)], we have shown that the combination of two novel complementary quantum Monte Carlo approaches, namely configuration path integral Monte Carlo (CPIMC) [T. Schoof \textit{et al.},…

强关联电子 · 物理学 2016-05-20 T. Dornheim , S. Groth , T. Schoof , C. Hann , M. Bonitz

We explicitly build a generalized local-density approximation (GLDA) correlation functional based on one-dimensional (1D) uniform electron gases (UEGs). The fundamental parameters of the GLDA \textemdash a generalization of the widely-known…

化学物理 · 物理学 2015-08-12 Pierre-François Loos

The non-collinear spin-spiral density wave of the uniform electron gas is studied in the framework of Reduced-Density-Matrix-Functional Theory. For the Hartree-Fock approximation, which can be obtained as a limiting case of…

强关联电子 · 物理学 2013-11-08 F. G. Eich , S. Kurth , C. R. Proetto , S. Sharma , E. K. U. Gross

In this paper we define and study the classical Uniform Electron Gas (UEG), a system of infinitely many electrons whose density is constant everywhere in space. The UEG is defined differently from Jellium, which has a positive constant…

数学物理 · 物理学 2018-01-11 Mathieu Lewin , Elliott H. Lieb , Robert Seiringer

We construct analytic formulas that represent the coupling-constant-averaged pair distribution function $\gxcav(r_s,\zeta, k_Fu)$ of a uniform electron gas with density parameter $r_s =(9\pi/4)^{1/3}/k_F$ and relative spin polarization…

凝聚态物理 · 物理学 2009-11-07 Paola Gori-Giorgi , John P. Perdew

We introduce a new paradigm for one-dimensional uniform electron gases (UEGs). In this model, $n$ electrons are confined to a ring and interact via a bare Coulomb operator. We use Rayleigh-Schr\"odinger perturbation theory to show that, in…

强关联电子 · 物理学 2013-08-19 Pierre-François Loos , Peter M. W. Gill

Based on exact limits and quantum Monte Carlo simulations, we obtain, at any density and spin polarization, an accurate estimate for the energy of a modified homogeneous electron gas where electrons repel each other only with a long-range…

材料科学 · 物理学 2009-11-11 Simone Paziani , Saverio Moroni , Paola Gori-Giorgi , Giovanni B. Bachelet

\textit{Ab initio} quantum Monte Carlo (QMC) methods in principle allow for the calculation of exact properties of correlated many-electron systems, but are in general limited to the simulation of a finite number of electrons $N$ in…

统计力学 · 物理学 2021-04-21 Tobias Dornheim , Jan Vorberger

We present an analytical expression for the static many-body local field factor $G_{+}(q)$ of a homogeneous two-dimensional electron gas, which reproduces Diffusion Monte Carlo data and embodies the exact asymptotic behaviors at both small…

强关联电子 · 物理学 2009-11-07 B. Davoudi , M. Polini , G. F. Giuliani , M. P. Tosi

In a recent Letter [T. Dornheim et al., Phys. Rev. Lett. 121, 255001 (2018)] we have presented the first ab initio results for the dynamic structure factor $S(\mathbf{q},\omega)$ of the uniform electron gas for conditions ranging from the…

等离子体物理 · 物理学 2019-06-19 Simon Groth , Tobias Dornheim , Jan Vorberger

We show that the traditional concept of the uniform electron gas (UEG) --- a homogeneous system of finite density, consisting of an infinite number of electrons in an infinite volume --- is inadequate to model the UEGs that arise in finite…

化学物理 · 物理学 2012-02-07 Peter M. W. Gill , Pierre-François Loos

The uniform electron gas is a key model system in the description of matter, including dense plasmas and solid state systems. However, the simultaneous occurence of quantum, correlation, and thermal effects makes the theoretical description…

等离子体物理 · 物理学 2017-05-24 Simon Groth , Tobias Dornheim , Michael Bonitz

The uniform electron gas (UEG), a hypothetical system with finite homogenous electron density composed by an infinite number of electrons in a box of infinite volume, is the practical pillar of density-functional theory (DFT) and the…

化学物理 · 物理学 2022-04-05 Pierre-François Loos , Michael Seidl

Recently a number of theoretical studies of the uniform electron gas (UEG) at finite temperature have appeared that are of relevance for dense plasmas, warm dense matter and laser excited solids and thermodynamic density functional theory…

量子气体 · 物理学 2015-03-06 T. Schoof , S. Groth , M. Bonitz

The dielectric response and structural properties of finite-temperature electron liquids are central to accurately describing the physical behavior of electronic systems. This study presents a robust analytical model for the static…

等离子体物理 · 物理学 2026-03-19 Chengliang Lin , Yong Hou , Jianmin Yuan , Yong Wu , Jianguo Wang

We present extensive \emph{ab initio} path integral Monte Carlo (PIMC) results for the dynamic properties of the finite temperature uniform electron gas (UEG) over a broad range of densities, $2\leq r_s\leq300$. We demonstrate that the…

It is shown {\it in detail how} the ground-state self-energy $\Sigma(k,\omega)$ of the spin-unpolarized uniform electron gas (with the density parameter $r_s$) in its high-density limit $r_s\to 0 $ determines: the momentum distribution…

强关联电子 · 物理学 2015-05-13 Paul Ziesche

We present an analytical expression for the local field factor G(q) of the homogeneous electron gas which reproduces recently published Quantum Monte--Carlo data by S. Moroni, D.M. Ceperley, and G. Senatore [Phys. Rev. Lett. 75, 689…

凝聚态物理 · 物理学 2009-10-31 Massimiliano Corradini , Rodolfo Del Sole , Giovanni Onida , Maurizia Palummo

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…

化学物理 · 物理学 2021-01-27 Qing-Xing Xie , Jiashun Wu , Yan Zhao

It is assumed that U atoms in $UGe_2$ have a number of $f$ electrons appropriate to give them each a spin $s=1$ as well as one extra itinerant electron which may equally well be on one or other U atom. The dynamical degrees of freedom are…

强关联电子 · 物理学 2007-05-23 Naoum Karchev