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Related papers: Exchange-correlation energy for the 3D homogeneous…

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Commonly used semilocal density functional approximations for the exchange-correlation energy fail badly when the true two dimensional limit is approached. We show, using a quasi-two-dimensional uniform electron gas in the infinite barrier…

Materials Science · Physics 2015-05-13 Lucian A. Constantin

Warm dense matter is one of the most active frontiers in plasma physics due to its relevance for dense astrophysical objects as well as for novel laboratory experiments in which matter is being strongly compressed e.g. by high-power lasers.…

We compute quasi-exact \emph{ab initio} path-integral Monte Carlo results for the Matsubara Green's function of the uniform electron gas (UEG) at finite temperature over a broad range of coupling strengths ($r_s=1,\dots,10)$. This allows us…

Quantum Gases · Physics 2026-01-22 Paul Hamann , Michael Bonitz , Jan Vorberger , Tobias Dornheim

We investigate the viability of the phaseless finite temperature auxiliary field quantum Monte Carlo (ph-FT-AFQMC) method for ab initio systems using the uniform electron gas as a model. Through comparisons with exact results and finite…

Chemical Physics · Physics 2021-02-15 Joonho Lee , Miguel A. Morales , Fionn D. Malone

Using the newly introduced theory of finite-temperature reduced density matrix functional theory, we apply the first-order approximation to the homogeneous electron gas. We consider both collinear spin states as well as symmetry broken…

Strongly Correlated Electrons · Physics 2015-03-20 Tim Baldsiefen , F. G. Eich , E. K. U. Gross

Employing the Monte-Carlo method and the exact diagonalization, we have investigated the temperature dependence of the thermoelectric power (TEP) for the double exchange model in the dilute carrier concentration limit. We have found that…

Strongly Correlated Electrons · Physics 2009-11-13 Beom Hyun Kim , Unjong Yu , Kyoo Kim , B. I. Min

We present a finite-temperature extension of the retarded cumulant Green's function for calculations of exited-state and thermodynamic properties of electronic systems. The method incorporates a cumulant to leading order in the screened…

Strongly Correlated Electrons · Physics 2017-11-01 J. J. Kas , J. J. Rehr

We present extensive new \textit{ab intio} path integral Monte Carlo results for the momentum distribution function $n(\mathbf{k})$ of the uniform electron gas (UEG) in the warm dense matter (WDM) regime over a broad range of densities and…

Computational Physics · Physics 2021-05-26 Tobias Dornheim , Maximilian Böhme , Burkhard Militzer , Jan Vorberger

Warm dense matter is a highly energetic phase characterized by strong correlations, thermal effects, and quantum mechanical electrons. Thermal density functional theory is commonly used in simulations of this challenging phase, driving the…

Chemical Physics · Physics 2024-05-01 Brittany P. Harding , Zachary Mauri , Vera Xie , Aurora Pribram-Jones

The correlation energy per electron in the high-density uniform electron gas can be written as $\Ec(r_s,\zeta) = \lam_0(\zeta) \ln r_s + \eps_0(\zeta) + \lam_1(\zeta) \,r_s \ln r_s + O(r_s)$, where $r_s$ is the Seitz radius and $\zeta$ is…

Strongly Correlated Electrons · Physics 2011-08-08 Pierre-François Loos , Peter M. W. Gill

An approximation for the exchange-correlation energy of reduced-density-matrix-functional theory was recently derived from a study of the homogeneous electron gas (N.N. Lathiotakis, N. Helbig, E.K.U. Gross, Phys. Rev. B 75, 195120 (2007)).…

Strongly Correlated Electrons · Physics 2009-11-13 N. N. Lathiotakis , N. Helbig , A. Zacarias , E. K. U. Gross

Warm dense matter is a highly active research area both at the frontier and interface of material science and plasma physics. We assess the performance of commonly used exchange-correlation (XC) approximation (LDA, PBE, PBEsol, and AM05) in…

Plasma Physics · Physics 2022-01-25 Zhandos Moldabekov , Tobias Dornheim , Jan Vorberger , Attila Cangi

We study the normal state of a 3-$d$ homogeneous dipolar Fermi gas beyond the Hartree-Fock approximation. The correlation energy is found of the same order as the Fock energy, unusually strong for a Fermi-liquid system. As a result, the…

Quantum Gases · Physics 2015-06-03 Bo Liu , Lan Yin

The uniform electron gas (UEG) at finite temperature is of key relevance for many applications in dense plasmas, warm dense matter, laser excited solids and much more. Accurate thermodynamic data for the UEG are an essential ingredient for…

Plasma Physics · Physics 2015-09-30 T. Schoof , S. Groth , J. Vorberger , M. Bonitz

We calculate the pair correlation function of an interacting Bose gas in a harmonic trap directly via Path Integral Quantum Monte Carlo simulation for various temperatures and compare the numerical result with simple approximative…

Atomic Physics · Physics 2009-10-31 M. Holzmann , Y. Castin

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…

Materials Science · Physics 2016-08-16 Julien Toulouse , Andreas Savin , Heinz-Jürgen Flad

An analytic method for deriving the free energy of a three-dimensional Ising-like system near the critical point in a homogeneous external field is developed in the $\rho^6$ model approximation. The mathematical description proposed for…

Statistical Mechanics · Physics 2007-11-21 I. V. Pylyuk

Using a finite-temperature Path Integral Monte Carlo simulation (PIMC) method and finite-size scaling, we have investigated the interaction-induced shift of the phase transition temperature for Bose-Einstein condensation of homogeneous…

Statistical Mechanics · Physics 2009-11-10 Kwangsik Nho , D. P. Landau

We use the one-dimensional object-oriented particle-in-cell Monte Carlo collision code oopd1 to explore the charged particle densities, the electronegativity, the electron energy probability function (EEPF), and the electron heating…

Plasma Physics · Physics 2017-11-28 Jon Tomas Gudmundsson , David I. Snorrason

Using the finite-temperature path integral Monte Carlo method, we investigate dilute, trapped Bose gases in a quasi-two dimensional geometry. The quantum particles have short-range, s-wave interactions described by a hard-sphere potential…

Statistical Mechanics · Physics 2009-11-11 Kwangsik Nho , D. P. Landau