Electron spectrum of δ-doped quantum wells by the Thomas-Fermi method at finite temperatures

The electron spectrum of δ-doped quantum wells in n-GaAs is investigated by means of the Thomas-Fermi (TF) method at finite temperatures. This method shows rapid convergence and good accuracy. Under two-dimensional (2D) doping concentrations 1013…2×1013 cm−2, the simplest TF method (T=0 K) can be used to calculate the profiles of the potential well up to T≈200 K. The simplest TF method yields correct results for the electron concentrations and the differences of the electron energy sublevels in the quantum well up to room temperature (T∼300 K).