We propose a scaling theory of 2D metal insulator transition discovered by Kravchenko and coworkers. In this theory conductance/resistance duality is an exact relation. The exponent of the stretched exponential in σ(T) is determined by the temperature dependence of the coherence length. The quantum-chaotic nature of the transition is manifested in the square form of the phenomenological scaling function.
@article{arxiv.cond-mat/0012466,
title = {Theory of 2D metal-insulator transition I: Zero Magnetic field},
author = {Konstantin Kladko},
journal= {arXiv preprint arXiv:cond-mat/0012466},
year = {2007}
}