A simple model for the metal-insulator transition in a two-dimensional electron gas

J. C. Flores, V. Bellani, F. Dominguez-Adame

Published 1999-12-27Version 1

We introduce an elementary model for the electrostatic self-consistent potential in a two-dimensional electron gas. By considering the perpendicular degree of freedom arising from the electron tunneling out of the system plane, we predict a threshold carrier density above which this effect is relevant. The predicted value agrees remarkably well with the onset for the insulator to quasi-metallic transition recently observed in several experiments in SiO2-Si and AlGaAs-GaAs heterojunctions.