Interacting electrons in a random potential in two dimensions: Beyond the scaling theory of localization
University of Augsburg, Germany.
Various experiments on high mobility two dimensional semiconductor heterostructures have suggested the possibility of a metal-insulator transition driven by electron-electron interactions. Sophisticated numerical approaches like quantum Monte Carlo have played a very important role in demonstrating that it is possible to stabilize a (diffusive) metallic state in two dimensions. In this talk, we discuss some of these numerical approaches, discuss possible scenarios of the transition and elucidate the nature of the resulting metallic state through Monte Carlo calculations. We also discuss the discovery of a new ``pseudogap''-like feature when electrons are subjected to both strong inter-particle interactions and strong disorder.