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

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

1995-07-12

arxiv.org/abs/cond-mat/9507034v1

Phys. Rev. B51 (1995) 17239

Physics

Condensed Matter

11 pages (RevTex), 3 figures included (tar-compressed and uuencoded using UUFILES), to appear in Phys.Rev. B 51 (Rapid Commun.

Scientific paper

10.1103/PhysRevB.51.17239

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, $\nu =1.45 \pm 0.08$, and the disorder dependence of the correlation length.

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