https://doi.org/10.1007/s100510050975
Dynamical correlations in the one-dimensional electron gas with short-range interactions
Department of Physics, Bilkent University, Bilkent, 06533
Ankara, Turkey
Corresponding author: a tanatar@fen.bilkent.edu.tr
Received:
11
December
1998
Revised:
25
April
1999
Published online: 15 November 1999
We study the dynamical correlation effects in a one-dimensional
Fermion gas with repulsive delta-function interaction within the
quantum version of the self-consistent field approximation of Singwi,
Tosi, Land, and Sjölander [Phys. Rev. 176, 589 (1968)].
The dynamic correlation effects are described by
a frequency dependent local-field correction 
. There
is a corresponding local-field factor 
for the
spin-density correlations. We
investigate the structure factors, spin-dependent
pair-correlation functions, the frequency dependences of
and , and the plasmon dispersion
relation within this formalism. We compare our results with other
theoretical approaches, in particular the static version of the
self-consistent field approximation to highlight the importance
of dynamical correlations.
PACS: 71.10.Ca – Electron gas, Fermi gas / 71.45.Gm – Exchange, correlation, dielectric and magnetic functions, plasmons / 73.20.Dx – Electron states in low-dimensional structures (superlattices, quantum well structures and multilayers)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999
