EXCHANGE AND CORRELATION IN THE QUASI-ONE-DIMENSIONAL ELECTRON-GAS - THE LOCAL-FIELD CORRECTION

被引:50
作者
CALMELS, L
GOLD, A
机构
[1] Laboratoire de Physique des Solides, Université Paul Sabatier, 31062 Toulouse
关键词
D O I
10.1103/PhysRevB.52.10841
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The local-field correction for the quasi-one-dimensiona1 electron gas in cylindrical quantum wires with wire radius R(0) is calculated within the sum-rule approach of the self-consistent theory of Singwi, Tosi, Land, and Sjolander. The local-field correction is expressed by a generalized Hubbard form with two coefficients, which are determined self-consistently. Numerical results for the exchange energy and the correlation energy are presented for 0 < r(s) < 20, where r(s) is the random-phase-approximation parameter. We find that the exchange energy in the low-density regime is strongly enhanced compared to two and three dimensions: epsilon(ex)(r(s) --> infinity) proportional to - ln(r(s))/r(s). For high density we find epsilon(ex)(r(s) --> 0) proportional to - a*/R(0), where a* is the Bohr radius. For the correlation energy we get epsilon(cor)(r(s) --> 0) proportional to - r(s)(2)/R(0)(2). The local-field correction strongly reduces the correlation energy for small carrier density if compared with the random-phase approximation. We study the pair-correlation function, the plasmon dispersion, and the compressibility, and we describe the effects of exchange and correlation on these quantities. The parameter for weak coupling in wire systems is described by R(s) = 4r(s)a*/pi R0 < 1 and strong coupling corresponds to R(s) > 1.
引用
收藏
页码:10841 / 10857
页数:17
相关论文
共 49 条
  • [1] ELECTRONIC-PROPERTIES OF TWO-DIMENSIONAL SYSTEMS
    ANDO, T
    FOWLER, AB
    STERN, F
    [J]. REVIEWS OF MODERN PHYSICS, 1982, 54 (02) : 437 - 672
  • [2] [Anonymous], 1996, TABLES INTEGRALS SER
  • [3] SUBBANDS AND CORRELATION-EFFECTS ON PLASMON-EXCITATIONS IN QUASI-ONE-DIMENSIONAL QUANTUM-WELL WIRES
    BORGES, AN
    DEGANI, MH
    HIPOLITO, O
    [J]. SUPERLATTICES AND MICROSTRUCTURES, 1993, 13 (03) : 375 - 378
  • [4] STATIC DIELECTRIC RESPONSE OF THE ELECTRON-GAS
    BOWEN, C
    SUGIYAMA, G
    ALDER, BJ
    [J]. PHYSICAL REVIEW B, 1994, 50 (20): : 14838 - 14848
  • [5] ATTRACTION INDUCED BY MANY-BODY EFFECTS IN THE QUASI-ONE-DIMENSIONAL ELECTRON-GAS
    CALMELS, L
    GOLD, A
    [J]. PHYSICAL REVIEW B, 1995, 51 (13) : 8426 - 8433
  • [6] THE LOCAL-FIELD CORRECTION OF THE QUASI-ONE-DIMENSIONAL ELECTRON-GAS
    CALMELS, L
    GOLD, A
    [J]. SOLID STATE COMMUNICATIONS, 1994, 92 (07) : 619 - 623
  • [7] FRIEDEL OSCILLATIONS IN QUASI-ONE-DIMENSIONAL SYSTEMS AT LOW-DENSITY
    CALMELS, L
    GOLD, A
    [J]. PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS, 1994, 235 : 2371 - 2372
  • [8] CALMELS L, UNPUB
  • [9] EXCHANGE AND CORRELATION-EFFECTS IN A SEMICONDUCTOR QUANTUM-WELL WIRE
    CAMPOS, VB
    DEGANI, MH
    HIPOLITO, O
    [J]. SUPERLATTICES AND MICROSTRUCTURES, 1995, 17 (01) : 85 - 90
  • [10] GROUND-STATE OF THE ELECTRON-GAS BY A STOCHASTIC METHOD
    CEPERLEY, DM
    ALDER, BJ
    [J]. PHYSICAL REVIEW LETTERS, 1980, 45 (07) : 566 - 569