Exchangecorrelations in a dilute quasitwodimensional electron gas at finite temperature
Abstract
We have studied the extent to which temperature and finite transversal confinement can influence the exchangecorrelations in a dilute twodimensional electron gas as realized in a narrow GaAsbased single quantum well. The correlations are treated within the selfconsistent meanfield theory of Singwi et al. Numerical results are presented for the localfield correction factor at experimentally realized electron densities and temperature, choosing a harmonic confinement model. We find that the localfield correction factor, which is a direct measure of exchangecorrelation correction to the bare Coulomb interaction potential, becomes less (at least over the currently accessible wave vector region to experiments) with increasing T/T_{F} and/or decreasing confinement; T_{F} is the Fermi temperature. These findings are expected to be useful in the theoretical understanding of dynamical excitation spectra and transport properties of a twodimensional electron system.
 Publication:

Solid State Physics
 Pub Date:
 June 2012
 DOI:
 10.1063/1.4710211
 Bibcode:
 2012AIPC.1447..731B
 Keywords:

 electric potential;
 electron density;
 fermion systems;
 gallium arsenide;
 IIIV semiconductors;
 potential energy functions;
 SCF calculations;
 semiconductor quantum wells;
 twodimensional electron gas;
 71.15.Mb;
 73.21.Fg;
 Density functional theory local density approximation gradient and other corrections;
 Quantum wells