Leading-order behavior of the correlation energy in the uniform electron gas

被引：6

作者：

Loos, Pierre-Francois ^{[1
]}

Gill, Peter M. W. ^{[1
]}

机构：

[1] Australian Natl Univ, Res Sch Chem, Canberra, ACT 0200, Australia

来源：

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY | 2012年 / 112卷 / 06期

基金：

澳大利亚研究理事会;

关键词：

jellium; uniform electron gas; Hartree-Fock; perturbation theory; COLLECTIVE DESCRIPTION; BAND-STRUCTURE;

D O I：

10.1002/qua.23155

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, in the high-density limit, restricted M phi ller-Plesset (RMP) perturbation theory yields E-RMP((2)) = pi(-2)(1 - ln 2) ln r(s) + O(r(s)(0)) for the correlation energy per electron in the uniform electron gas, where rs is the Seitz radius. This contradicts an earlier derivation which yielded E-RMP((2)) = O(ln vertical bar ln r(s)vertical bar). The reason for the discrepancy is explained. (c) 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2012

引用

页码：1712 / 1716

页数：5

共 31 条

[1]

[Anonymous], 1961, WAVE MECH ELECT META

[2] Theory of the work function II. The surface double layer [J].

Bardeen, J .

PHYSICAL REVIEW, 1936, 49 (09) :0653-0663

[3] A COLLECTIVE DESCRIPTION OF ELECTRON INTERACTIONS .1. MAGNETIC INTERACTIONS [J].

BOHM, D ;

PINES, D .

PHYSICAL REVIEW, 1951, 82 (05) :625-634

[4] SCREENING OF ELECTRONIC INTERACTIONS IN A METAL [J].

BOHM, D ;

PINES, D .

PHYSICAL REVIEW, 1950, 80 (05) :903-904

[5] A COLLECTIVE DESCRIPTION OF ELECTRON INTERACTIONS .3. COULOMB INTERACTIONS IN A DEGENERATE ELECTRON GAS [J].

BOHM, D ;

PINES, D .

PHYSICAL REVIEW, 1953, 92 (03) :609-625

[6] GROUND-STATE OF THE ELECTRON-GAS BY A STOCHASTIC METHOD [J].

CEPERLEY, DM ;

ALDER, BJ .

PHYSICAL REVIEW LETTERS, 1980, 45 (07) :566-569

[7]

Dirac PAM, 1930, P CAMB PHILOS SOC, V26, P376

[8] The quantisation of ideal single atom gases [J].

Fermi, E .

ZEITSCHRIFT FUR PHYSIK, 1926, 36 (11/12) :902-912

[9]

GELLMANN M, 1957, PHYS REV, V106, P364, DOI 10.1103/PhysRev.106.364

[10] Finite jellium models. I. Restricted Hartree-Fock calculations [J].

Ghosh, S ;

Gill, PMW .

JOURNAL OF CHEMICAL PHYSICS, 2005, 122 (15)

← 1 2 3 4 →