Exchange-correlations in a dilute quasi-two-dimensional electron gas at finite temperature
Abstract
We have studied the extent to which temperature and finite transversal confinement can influence the exchange-correlations in a dilute two-dimensional electron gas as realized in a narrow GaAs-based single quantum well. The correlations are treated within the self-consistent mean-field theory of Singwi et al. Numerical results are presented for the local-field correction factor at experimentally realized electron densities and temperature, choosing a harmonic confinement model. We find that the local-field correction factor, which is a direct measure of exchange-correlation correction to the bare Coulomb interaction potential, becomes less (at least over the currently accessible wave vector region to experiments) with increasing T/TF and/or decreasing confinement; TF is the Fermi temperature. These findings are expected to be useful in the theoretical understanding of dynamical excitation spectra and transport properties of a two-dimensional 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;
- III-V semiconductors;
- potential energy functions;
- SCF calculations;
- semiconductor quantum wells;
- two-dimensional electron gas;
- 71.15.Mb;
- 73.21.Fg;
- Density functional theory local density approximation gradient and other corrections;
- Quantum wells