CORRELATION IN FERMI LIQUIDS - ANALYTICAL RESULTS FOR THE LOCAL-FIELD CORRECTION IN 2 AND 3 DIMENSIONS

被引：91

作者：

GOLD, A

CALMELS, L

机构：

[1] Laboratoire de Physique des Solides, Université Paul Sabatier, 31062 Toulouse

来源：

PHYSICAL REVIEW B | 1993年 / 48卷 / 16期

关键词：

D O I：

10.1103/PhysRevB.48.11622

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The local-field correction for the two-dimensional and the three-dimensional electron gas is calculated within a sum-rule version of the self-consistent approach of Singwi, Tosi, Land, and Sjolander. Correlation effects are studied. Results for 0.001 < r(s) < 100 are given where r(s) is the random-phase-approximation parameter. An analytical expression for the static structure factor, representing a generalized Feynman-Bijl spectrum, is used in the calculation. We derive analytical expressions for the density dependence of the local-field correction and we compare the results for the ground-state energy for the interacting electron gas with Monte Carlo computations. The pair-correlation function and the compressibility are studied. Exchange and correlation effects for quantum wells and heterostructures are calculated: numerical and analytical results are derived. In two dimensions and at low density a roton structure in the plasmon dispersion is found. We discuss an instability in layered structures of two-dimensional electron gases.

引用

页码：11622 / 11637

页数：16

共 48 条

[21]

GOLD A, IN PRESS SOLID STATE

[22]

GOLD A, UNPUB

[23] ONE-DIMENSIONAL PLASMON DISPERSION AND DISPERSIONLESS INTERSUBBAND EXCITATIONS IN GAAS QUANTUM WIRES [J].

GONI, AR ;

PINCZUK, A ;

WEINER, JS ;

CALLEJA, JM ;

DENNIS, BS ;

PFEIFFER, LN ;

WEST, KW .

PHYSICAL REVIEW LETTERS, 1991, 67 (23) :3298-3301

[24]

Hubbard J., 1957, P ROY SOC LOND A MAT, V243, P336

[25] STRONGLY COUPLED PLASMAS - HIGH-DENSITY CLASSICAL PLASMAS AND DEGENERATE ELECTRON LIQUIDS [J].

ICHIMARU, S .

REVIEWS OF MODERN PHYSICS, 1982, 54 (04) :1017-1059

[26]

ISHIHARA A, 1978, ANN PHYS-NEW YORK, V114, pE497

[27]

ISHIHARA A, 1977, ANN PHYS-NEW YORK, V106, P394

[28]

ISHIHARA A, 1989, SOLID STATE PHYS, V42, P271

[29] ELECTRON CORRELATIONS IN INVERSION LAYERS [J].

JONSON, M .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1976, 9 (16) :3055-3071

[30]

MAHAN GD, 1990, MANY PARTICLE PHYSIC

← 1 2 3 4 5 →