One-parameter Superscaling at the Metal-Insulator Transition in Three Dimensions

Details One-parameter Superscaling at the Metal-Insulator Transition in Three Dimensions One-parameter Superscaling at the Metal-Insulator Transition in Three Dimensions

1997-10-17

arxiv.org/abs/cond-mat/9710176v2

Phys. Rev. Lett 82, 4683 (1999)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages in PS including 3 figures

Scientific paper

10.1103/PhysRevLett.82.4683

Based on the spectral statistics obtained in numerical simulations on three dimensional disordered systems within the tight--binding approximation, a new superuniversal scaling relation is presented that allows us to collapse data for the orthogonal, unitary and symplectic symmetry ($\beta=1,2,4$) onto a single scaling curve. This relation provides a strong evidence for one-parameter scaling existing in these systems which exhibit a second order phase transition. As a result a possible one-parameter family of spacing distribution functions, $P_g(s)$, is given for each symmetry class $\beta$, where $g$ is the dimensionless conductance.

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