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
收藏
页码:11622 / 11637
页数:16
相关论文
共 48 条
[1]   COUPLED PLASMON-LO PHONON MODES AND LINDHARD-MERMIN DIELECTRIC FUNCTION OF N-GAAS [J].
ABSTREITER, G ;
TROMMER, R ;
CARDONA, M ;
PINCZUK, A .
SOLID STATE COMMUNICATIONS, 1979, 30 (11) :703-707
[2]   ELECTRONIC-PROPERTIES OF TWO-DIMENSIONAL SYSTEMS [J].
ANDO, T ;
FOWLER, AB ;
STERN, F .
REVIEWS OF MODERN PHYSICS, 1982, 54 (02) :437-672
[3]   NONLOCALITY IN THE TWO-DIMENSIONAL PLASMON DISPERSION [J].
BATKE, E ;
HEITMANN, D ;
KOTTHAUS, JP ;
PLOOG, K .
PHYSICAL REVIEW LETTERS, 1985, 54 (21) :2367-2370
[4]   PLASMON AND MAGNETOPLASMON EXCITATION IN TWO-DIMENSIONAL ELECTRON SPACE-CHARGE LAYERS ON GAAS [J].
BATKE, E ;
HEITMANN, D ;
TU, CW .
PHYSICAL REVIEW B, 1986, 34 (10) :6951-6960
[5]   CHARGED BOSE-GAS AT T=O [J].
CAPARICA, AA ;
HIPOLITO, O .
PHYSICAL REVIEW A, 1982, 26 (05) :2832-2839
[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]   WHITE-DWARFS AS QUANTUM CRYSTALS [J].
CHABRIER, G ;
ASHCROFT, NW ;
DEWITT, HE .
NATURE, 1992, 360 (6399) :48-50
[8]   MODEL OF A 2-DIMENSIONAL FERMI-LIQUID [J].
DASILVEIRA, HV ;
DEGANI, MH ;
SINGWI, KS .
PHYSICAL REVIEW B, 1992, 46 (05) :2995-3001
[9]   ANISOTROPIC PLASMON DISPERSION IN A LATERAL QUANTUM-WIRE SUPERLATTICE [J].
EGELER, T ;
ABSTREITER, G ;
WEIMANN, G ;
DEMEL, T ;
HEITMANN, D ;
GRAMBOW, P ;
SCHLAPP, W .
PHYSICAL REVIEW LETTERS, 1990, 65 (14) :1804-1807
[10]   PLASMON EXCITATIONS IN LAYERED 2D ELECTRON-GAS SYSTEMS WITH LARGE INPLANE WAVE VECTOR [J].
EGELER, T ;
BEECK, S ;
ABSTREITER, G ;
WEIMANN, G ;
SCHLAPP, W .
SUPERLATTICES AND MICROSTRUCTURES, 1989, 5 (01) :123-126