Universal scaling, beta function, and metal-insulator transitions

Details Universal scaling, beta function, and metal-insulator transitions Universal scaling, beta function, and metal-insulator transitions

1999-02-16

arxiv.org/abs/cond-mat/9902231v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, REVTEX, 4 embedded figures; minor corrections to figures and text

Scientific paper

10.1103/PhysRevLett.83.144

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.

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