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

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...

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Bibliographic Details
Published inarXiv.org
Main Authors Potempa, H, Schweitzer, L
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 15.05.2002
Subjects
Divergence
Eigenvalues
Eigenvectors
Fractal geometry
Insulators
Mathematical models
Metal-insulator transition
Power law
Two dimensional models
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0204471