Electronic properties of a large quantum dot at a finite temperature

• DOI: 10.1016/j.physe.2005.05.061
• Publication Date: 2005-08-04T03:38:23Z
• Authors: Berna Gülveren; Ülfet Atav; Mehmet Tomak
• Keywords: 0103 physical sciences; 01 natural sciences

Abstract The physical properties of a two-dimensional parabolic quantum dot composed of large number of interacting electrons are numerically determined by the Thomas–Fermi (TF) method at a finite temperature. Analytical solutions are given for zero temperature for comparative purposes. The exact solution of the TF equation is obtained for the non-interacting system at finite temperatures. The effect of the number of particles and temperature on the properties are investigated both for interacting and non-interacting cases. The results indicate that the effect of e–e interaction on the density profile shows different temperature dependencies above and below a certain temperature T c .