Uniform electron gases

被引:30
作者
Gill, Peter M. W. [1 ]
Loos, Pierre-Francois [1 ]
机构
[1] Australian Natl Univ, Res Sch Chem, Canberra, ACT 0200, Australia
基金
澳大利亚研究理事会;
关键词
Uniform electron gas; Homogeneous electron gas; Jellium; Density functional theory; INTRACULE FUNCTIONAL MODELS; CORRELATION-ENERGY; COULOMB OPERATOR; EXCHANGE ENERGY; GROUND-STATE; MONTE-CARLO; EXCITED-STATES; RESOLUTIONS; INTEGRALS; ACCURATE;
D O I
10.1007/s00214-011-1069-7
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
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 systems. We argue that, in general, a UEG is characterized by at least two parameters, viz. the usual one-electron density parameter rho and a new two-electron parameter eta. We outline a systematic strategy to determine a new density functional E (rho, eta) across the spectrum of possible rho and eta values.
引用
收藏
页码:1 / 9
页数:9
相关论文
共 92 条
  • [1] Correlation energy and spin polarization in the 2D electron gas
    Attaccalite, C
    Moroni, S
    Gori-Giorgi, P
    Bachelet, GB
    [J]. PHYSICAL REVIEW LETTERS, 2002, 88 (25) : 2566011 - 2566014
  • [2] Avery J., 1989, Hyperspherical Harmonics
  • [3] DENSITY-FUNCTIONAL THERMOCHEMISTRY .3. THE ROLE OF EXACT EXCHANGE
    BECKE, AD
    [J]. JOURNAL OF CHEMICAL PHYSICS, 1993, 98 (07) : 5648 - 5652
  • [4] Intracule functional models - Part III. The dot intracule and its Fourier transform
    Bernard, Yves A.
    Crittenden, Deborah L.
    Gill, Peter M. W.
    [J]. PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 2008, 10 (23) : 3447 - 3453
  • [5] The role of exchange in systematic DFT errors for some organic reactions
    Brittain, David R. B.
    Lin, Ching Yeh
    Gilbert, Andrew T. B.
    Izgorodina, Ekaterina I.
    Gill, Peter M. W.
    Coote, Michelle L.
    [J]. PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 2009, 11 (08) : 1138 - 1142
  • [6] GROUND-STATE OF THE ELECTRON-GAS BY A STOCHASTIC METHOD
    CEPERLEY, DM
    ALDER, BJ
    [J]. PHYSICAL REVIEW LETTERS, 1980, 45 (07) : 566 - 569
  • [7] Insights into current limitations of density functional theory
    Cohen, Aron J.
    Mori-Sanchez, Paula
    Yang, Weitao
    [J]. SCIENCE, 2008, 321 (5890) : 792 - 794
  • [8] ELECTRON CORRELATION IN GROUND STATE OF HELIUM
    COULSON, CA
    NEILSON, AH
    [J]. PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1961, 78 (504): : 831 - &
  • [9] Intracule functional models. II. Analytically integrable kernels
    Crittenden, Deborah L.
    Dumont, Elise E.
    Gill, Peter M. W.
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2007, 127 (14)
  • [10] Computation and interpretation of molecular Omega intracules
    Crittenden, Deborah L.
    Gill, Peter M. W.
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2007, 127 (01)