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Equilibrium quantum statistical methods are used to study the pair correlation function for a magnetized free-electron gas in the presence of a hard wall that is parallel to the field. With the help of a path-integral technique and a Green…

Statistical Mechanics · Physics 2009-11-07 M. M. Kettenis , L. G. Suttorp

Based on our derivation of finite temperature reduced density matrix functional theory and the discussion of the performance of its first-order functional this work presents several different correlation-energy functionals and applies them…

Other Condensed Matter · Physics 2012-08-24 Tim Baldsiefen , E. K. U. Gross

We propose a simple analytic representation of the correlation energy for the two-dimensional electron gas, as a function of the density and the spin polarization. This new parametrization includes most of the known high- and low- density…

Strongly Correlated Electrons · Physics 2007-05-23 Paola Gori-Giorgi , Claudio Attaccalite , Saverio Moroni , Giovanni B. Bachelet

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

We have investigated the effect of the long-range Coulomb interaction on the one-particle excitation spectrum of n-type Germanium, using tunneling spectroscopy on mechanically controllable break junctions. The tunnel conductance was…

Strongly Correlated Electrons · Physics 2009-10-31 B. Sandow , K. Gloos , R. Rentzsch , A. N. Ionov , W. Schirmacher

The condensation energy of the homogeneous electron gas is calculated within the density functional theory for superconductors. Purely electronic considerations include the exchange energy exactly and the correlation energy on a level of…

Superconductivity · Physics 2013-04-02 M. Wierzbowska , J. W. Krogh

We use variational quantum Monte Carlo to calculate the density-functional exchange-correlation hole n_{xc}, the exchange-correlation energy density e_{xc}, and the total exchange-correlation energy E_{xc}, of several electron gas systems…

Materials Science · Physics 2009-10-31 Maziar Nekovee , W. M. C. Foulkes , R. J. Needs

The Coulomb exchange and correlation energy density functionals for electron systems are applied to nuclear systems. It is found that the exchange functionals in the generalized gradient approximation provide agreements with the exact-Fock…

Nuclear Theory · Physics 2019-12-09 Tomoya Naito , Ryosuke Akashi , Gianluca Colò , Haozhao Liang , Xavier Roca-Maza

We develop a theory of thermal transport of weakly interacting electrons in quantum wires. Unlike higher-dimensional systems, a one-dimensional electron gas requires three-particle collisions for energy relaxation. The fastest relaxation is…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Alex Levchenko , Tobias Micklitz , Zoran Ristivojevic , K. A. Matveev

Fully relativistic approach to evaluate the correlation effects in highly charged ions is presented. The interelectronic-interaction contributions of first and second orders in $1/Z$ are treated rigorously within the framework of…

Atomic Physics · Physics 2019-12-18 Y. S. Kozhedub , A. V. Malyshev , D. A. Glazov , V. M. Shabaev , I. I. Tupitsyn

An approach to electron correlation effects in atoms that uses quantum trajectories is presented. A comparison with the exact quantum mechanical results for 1D Helium atom shows that the major features of the correlated ground state…

Atomic Physics · Physics 2025-02-07 Ivan P. Christov

The effective electron-electron interaction in the electron gas depends on both the density and spin local field factors. Variational Diagrammatic Quantum Monte Carlo calculations of the spin local field factor are reported and used to…

Quantum Gases · Physics 2021-01-27 Carl A. Kukkonen , Kun Chen

We present a model for the rate of temperature relaxation between electrons and ions in plasmas. The model includes self-consistently the effects of particle screening, electron degeneracy and correlations between electrons and ions. We…

Plasma Physics · Physics 2015-05-13 Jérôme Daligault , Guy Dimonte

Density functional theory at finite temperatures often relies on the zero-temperature approximation, which uses a ground-state exchange-correlation functional with thermalized densities. This approach, however, neglects the explicit…

Other Condensed Matter · Physics 2026-03-26 Brianna Aguilar-Solis , Brittany P. Harding , Aurora Pribram-Jones

A simple approximate expression in real and reciprocal spaces is given for the static exchange-correlation kernel of a uniform electron gas interacting with the long-range part only of the Coulomb interaction. This expression interpolates…

Materials Science · Physics 2009-11-11 Julien Toulouse

We study interaction corrections to the thermoelectric transport coefficient $\alpha$ and the thermopower $S$ in the two-dimensional disordered electron gas with long-range Coulomb interactions. To this end, we analyze the heat…

Mesoscale and Nanoscale Physics · Physics 2024-11-05 Zahidul Islam Jitu , Georg Schwiete

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

Coulomb interactions that occur in electronic structure calculations are correlated by allowing basis function components of the interacting densities to polarize, thereby reducing the magnitude of the interaction. Exchange integrals of…

Chemical Physics · Physics 2022-05-16 Jerry L. Whitten

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 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…

Chemical Physics · Physics 2021-05-26 Julien Paquier , Julien Toulouse