Dynamical correlations in the one-dimensional electron gas with short-range interactions
Department of Physics, Bilkent University, Bilkent, 06533
Corresponding author: a email@example.com
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