Does $m^{\ast }{g}^{\ast }$ diverge at a finite electron density in silicon inversion layers?

Abstract

For the two-dimensional electron system in silicon MOSFET's, the scaled magnetoconductivity has been shown to exhibit critical behavior at finite density $n_0$. Analysis of these magnetotransport experiments yields a product $g^{\ast }{m}^{\ast }$ that diverges at this density (here $g^{\ast }$ is the interaction-enhanced Landé $g$-factor and $m^{\ast }$ is the effective mass). This claim has been disputed based on direct determinations of the $g^{\ast }{m}^{\ast }$ obtained from Shubnikov-de Haas measurements. We briefly review these experiments, and possible sources of the discrepancies.

5 pages, 5 figures; conference proceedings: "Quantum Transport and Quantum Coherence" -- Localisation 2002 Sophia University, Tokyo, August 16-19, 2002, to be published in a supplement of the Journal of Physical Society of Japan