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A non-empirical exchange functional based on an interpolation between two limits of electron density: slowly varying limit and asymptotic limit, is proposed. In the slowly varying limit, we follow the study by Kleinman in 1984 which…

Materials Science · Physics 2020-08-04 Teepanis Chachiyo , Hathaithip Chachiyo

We report precision measurements of the effective mass m* in high-quality bilayer graphene using the temperature dependence of the Shubnikov-de Haas oscillations. In the density range of 0.7 x 10^12/cm^2 < n < 4.1 x 10^12 /cm^2, both the…

Strongly Correlated Electrons · Physics 2011-08-24 K. Zou , X. Hong , J. Zhu

The plastic response of beryllium was investigated during loading by laser-induced shock waves, using surface velocimetry and in-situ x-ray diffraction. Results from loading by thermal x-rays (hohlraum) were consistent with more extensive…

Motivated by the considerable importance of material properties in modern condensed matter physics research, and using techniques of the $N_{e}$ -electron systems in terms of the electron density $n_{\sigma e}\left( r\right) $ needed to…

Materials Science · Physics 2024-07-19 A. Belhaj , S. E. Ennadifi

The complex nature of electron-electron correlations is made manifest in the very simple but non-trivial problem of two electrons confined within a sphere. The description of highly non-local correlation and self-interaction effects by…

Other Condensed Matter · Physics 2016-08-16 J. Jung , P. García-González , J. E. Alvarellos , R. W. Godby

This work is motivated by the long-standing question about the internal stability of the electron. While one cannot investigate internal properties of a point-like particle, it is fair to analyze the response of the Dirac sea to an…

Quantum Physics · Physics 2017-05-17 F. J. Himpsel

We present a detailed study of the exchange-correlation hole and exchange-correlation energy per particle in the Si crystal as calculated by the Variational Monte Carlo method and predicted by various density functional models. Nonlocal…

Materials Science · Physics 2009-11-07 A. C. Cancio , M. Y. Chou , Randolph Q. Hood

An exchange-correlation energy functional $ E_{\mathrm xc} $ and the resultant exchange-correlation potential $ v_{\mathrm xc}({\bf r}) $ in density-functional theory are proposed using orbital-dependent coupling-constant-averaged pair…

Strongly Correlated Electrons · Physics 2007-05-23 Hiroshi Yasuhara , Masahiko Higuchi , Yoshiyuki Kawazoe

A fully relativistic description of the electron energy loss and the induced radiation emission in arbitrary arrays of non-overlapping metallic cylinders is presented in terms of the multiple scattering method on the basis of vector…

Materials Science · Physics 2009-11-10 T. Ochiai , K. Ohtaka

We calculate the influence of dynamical exchange effects on the response properties and the static properties of a two-dimensional many-polaron gas. These effects are not manifested in the random-phase approximation which is widely used in…

Other Condensed Matter · Physics 2007-05-23 K. J. Hameeuw , J. Tempere , F. Brosens , J. T. Devreese

Constant temperature molecular dynamics simulations were used to study solutions of flexible polyelectrolyte chains at nonzero concentrations with explicit counterions and unscreened coulombic interactions. Counterion condensation, measured…

Statistical Mechanics · Physics 2009-10-31 J. C. Chu , C. H. Mak

We present the results of large-scale numerical simulations of the mobility of a two-dimensional electron liquid on the helium surface in the presence of a one-dimensional periodic potential. Even where the potential is much weaker than the…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 K. Moskovtsev , M. I. Dykman

Small-wavevector excitations in Coulomb-interacting systems can be decomposed into the high-energy collective longitudinal plasmon and the low-energy single-electron excitations. At the critical wavevector and corresponding frequency where…

Mesoscale and Nanoscale Physics · Physics 2020-05-27 Niraj K. Nepal , Santosh Adhikari , Bimal Neupane , Shiqi Ruan , Santosh Neupane , Adrienn Ruzsinszky

The acoustic excitations of the expanded metal solutions Li-NH$_3$ have been measured by inelastic X-ray scattering as a function of the electron density by changing the Li concentration. The dielectric functions of these model metals with…

Condensed Matter · Physics 2007-05-23 P. Giura , R. Angelini , C. A. Burns , G. Monaco , F. Sette

Calculations of the relaxation energy, contact pair-correlation function, and annihilating-pair momentum density for a single positron immersed in a homogeneous electron gas are presented. We achieve an accurate description of the…

Mesoscale and Nanoscale Physics · Physics 2011-01-20 N. D. Drummond , P. Lopez Rios , C. J. Pickard , R. J. Needs

In this paper, we analyze several experiments that address the effects of electron-electron interactions in 2D electron (hole) systems in the regime of low carrier density. The interaction effects result in renormalization of the effective…

Strongly Correlated Electrons · Physics 2015-06-24 V. M. Pudalov , M. E. Gershenson , H. Kojima

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

In silicon sensors high densities of electron-hole pairs result in a change of the current pulse shape and spatial distribution of the collected charge compared to the situation in presence of low charge carrier densities. This paper…

Instrumentation and Detectors · Physics 2016-08-14 Julian Becker , Klaus Gärtner , Robert Klanner , Rainer Richter

We present the results of a variational Monte Carlo calculation of the exchange-correlation energy for a spin-polarized two-dimensional electron gas in a perpendicular magnetic field. These energies are a necessary input to the recently…

Condensed Matter · Physics 2009-10-28 Rodney Price , S. Das Sarma

The formulation of a suitable nonlocal model potential for electron exchange is presented, checked with electron-hydrogen and electron-helium scattering, and applied to the study of elastic and inelastic scattering and ionization of ortho…

Atomic and Molecular Clusters · Physics 2016-09-08 P. K. Biswas , Sadhan K. Adhikari