Multifractal Wavefunction and Universality in the Critical Regime of the Anderson Transition

We show that a variation of the matrix model of disordered conductors introduced by Moshe, Neuberger and Shapiro (MNS) [PRL 73, 1497 (1994)] based on the idea of a preferential basis for strongly disordered states has multifractality of wavefunctions near the critical regime. Based on the fact that the two-level correlation function of the MNS model near the critical regime is identical to that of a distinct phenomenological model [Muttalib et al, PRL 71, 471 (1993)] whose predictions for the level spacing distribution as well as the number variance agree very well [C. Canali, PR B53, 3713 (1996)] with numerical results from the microscopic tight binding Anderson model, we conjecture that the multifractality obtained is a universal feature in the critical regime.