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Correlations and Plasmons in Quasi‐One‐Dimensional Metals
Author(s) -
Campos V. B.,
Hipolito O.,
Lobo R.
Publication year - 1977
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220810229
Subject(s) - plasmon , condensed matter physics , coulomb , isotropy , structure factor , physics , fermi gas , compressibility , instability , local field , correlation function (quantum field theory) , function (biology) , surface plasmon , dielectric function , quantum mechanics , electron , quantum electrodynamics , dielectric , thermodynamics , evolutionary biology , biology
The longitudinal dielectric function for a quasi‐one‐dimensional electron gas is obtained in a self‐consistent field approximation (SCFA) scheme. Short range correlations arising from both, Coulomb and exchange effects through a local field correction depending on the pair‐correlation function are included. The structure factor and the dielectric function are determined in a self‐consistent scheme. Numerical results are presented for the structure factor, the static pair‐correlation function, the plasmon dispersion and the compressibility. It is found that in the high density limit the results for the structure factor and the pair‐correlation function are the same as given by Girardeau's exact expression. The plasmon dispersion curves indicate the onset of a minimum for x s ⪆ 7, in contrast with the RPA results. For values of x s in this region, the compressibility values become negative, indicating a possible instability of the system. In both RPA and SCFA results the plasmon modes are not Landau damped in contrast to isotropic metals.