The trial wave function method developed in Ref.s \cite{gutz,brink} for the case of narrow {\it s}-band in a perfect crystal is adapted for calculation of the density dependence of the effective mass and the Lande factor in a dilute two-dimensional electron system. We find that the effective mass has a tendency to diverge at a certain critical concentration, whereas the g factor remains finite.
@article{arxiv.cond-mat/0211482,
title = {On Effective Electron Mass of Silicon MOSFET at Low Electron Density},
author = {V. T. Dolgopolov},
journal= {arXiv preprint arXiv:cond-mat/0211482},
year = {2009}
}