Universal scaling, beta function, and metal-insulator transitions
Disordered Systems and Neural Networks
2009-10-31 v2 Mesoscale and Nanoscale Physics
Abstract
We demonstrate a universal scaling form of longitudinal resistance in the quantum critical region of metal-insulator transitions, based on numerical results of three-dimensional Anderson transitions (with and without magnetic field), two-dimensional quantum Hall plateau to insulator transition, as well as experimental data of the recently discovered two-dimensional metal-insulator transition. The associated reflection symmetry and a peculiar logarithmic form of the beta function exist over a wide range in which the resistance can change by more than one order of magnitude. Interesting implications for the two-dimensional metal-insulator transition are discussed.
Cite
@article{arxiv.cond-mat/9902231,
title = {Universal scaling, beta function, and metal-insulator transitions},
author = {D. N. Sheng and Z. Y. Weng},
journal= {arXiv preprint arXiv:cond-mat/9902231},
year = {2009}
}
Comments
4 pages, REVTEX, 4 embedded figures; minor corrections to figures and text