Metal-insulator transition in two-dimensional disordered systems with power-law transfer terms

Abstract

We investigate a disordered two-dimensional lattice model for noninteracting electrons with long-range power-law transfer terms and apply the method of level statistics for the calculation of the critical properties. The eigenvalues used are obtained numerically by direct diagonalization. We find a metal-insulator transition for a system with orthogonal symmetry. The exponent governing the divergence of the correlation length at the transition is extracted from a finite size scaling analysis and found to be $\nu =2.6\pm 0.15$. The critical eigenstates are also analyzed and the distribution of the generalized multifractal dimensions is extrapolated.

4 pages with 4 figures, printed version: PRB, Rapid Communications

References in corpus (1)

• Multifractality of wavefunctions at the quantum Hall transition revisited

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