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

Imre Varga·Etienne Hofstetter·Janos Pipek
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Abstract

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 ($β=1,2,4$) 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 $β$, where $g$ is the dimensionless conductance.

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Imre Varga, Etienne Hofstetter, Janos Pipek. 1999-04-20. One-parameter Superscaling at the Metal-Insulator Transition in Three Dimensions. https://doi.org/10.1103/physrevlett.82.4683

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