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

H. Potempa·L. Schweitzer
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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 $ν=2.6\pm 0.15$. The critical eigenstates are also analyzed and the distribution of the generalized multifractal dimensions is extrapolated.

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H. Potempa, L. Schweitzer. 2002-05-15. Metal-insulator transition in two-dimensional disordered systems with power-law transfer terms. https://doi.org/10.1103/physrevb.65.201105

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