Scaling of level statistics at the disorder-induced metal-insulator transition

The distribution of energy-level separations for lattices of sizes up to 28×28×28 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 one to detect with high precision the critical disorder ${\mathit{W}}_{\mathit{c}}$=16.35. The scaling properties yield the critical exponent, ν=1.45±0.08, and the disorder dependence of the correlation length.