Universality of the metal-insulator transition in three-dimensional disordered systems

The universality of the metal-insulator transition in three-dimensional disordered system is confirmed by numerical analysis of the scaling properties of the electronic wave functions. We prove that the critical exponent \(\nu\) and the multifractal dimensions \(d_q\) are independent on the microsco...

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Bibliographic Details
Published inarXiv.org
Main Authors Brndiar, J, Markos, P
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 21.09.2006
Subjects
Fractal geometry
Insulators
Metal-insulator transition
Numerical analysis
Wave functions
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Summary:The universality of the metal-insulator transition in three-dimensional disordered system is confirmed by numerical analysis of the scaling properties of the electronic wave functions. We prove that the critical exponent \(\nu\) and the multifractal dimensions \(d_q\) are independent on the microscopic definition of the disorder and universal along the critical line which separates the metallic and the insulating regime.
ISSN:2331-8422
DOI:10.48550/arxiv.0606056