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

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

2002-04-22

arxiv.org/abs/cond-mat/0204471v2

Phys. Rev. B 65, 201105(R) (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1103/PhysRevB.65.201105

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.

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