Plasmon Excitation Spectrum of an Electron Quantum Wire at Finite Temperature

摘要

In this paper, we explore the effect of temperature, electron density and wire width on the plasmon excitation spectrum of a semiconductor based electron quantum wire. The exchange and Coulomb correlations among electrons are taken into account through a local-field correction factor appearing in a self-consistent manner in the mean-field approximation of Singwi, Tosi, Land and Sj?lander. The transverse motion of the wire electrons is assumed to be confined by harmonic potential. Numerical results are reported for the dispersion of plasmons over a wide range of temperature and electron density. In addition, the effect of confinement on the plasmons is also explored. The plasmon energy shows a noticeable dependence on wire width and is found to have a blue shift with increase in temperature. The results have been compared with the random phase approximation (RPA) in order to highlight the effect of short range electron correlations.