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

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

1999-12-27

arxiv.org/abs/cond-mat/9912457v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

REVTeX 3.0, 8 pages, 1 Postscript figure included

Scientific paper

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.

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