Scaling of Level Statistics at the Disorder-Induced Metal-Insulator Transition

I. Kh. Zharekeshev; B. Kramer

doi:10.1103/physrevb.51.17239

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Scaling of Level Statistics at the Disorder-Induced Metal-Insulator Transition

I. Kh. Zharekeshev·B. Kramer

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Abstract

The distribution of energy level separations for lattices of sizes up to 28$\times$28$\times$28 sites is numerically calculated for the Anderson model. The results show one-parameter scaling. The size-independent universality of the critical level spacing distribution allows to detect with high precision the critical disorder $W_{c}=16.35$. The scaling properties yield the critical exponent, $ν=1.45 \pm 0.08$, and the disorder dependence of the correlation length.

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I. Kh. Zharekeshev, B. Kramer. 1995-07-12. Scaling of Level Statistics at the Disorder-Induced Metal-Insulator Transition. https://doi.org/10.1103/physrevb.51.17239

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