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Parametric number variance of disordered systems in the multifractal regime

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We study the effect of an external field X on the energy levels of a disordered system by evaluating the parametric number variance (PNV). The weak disorder regime is studied within the Gaussian random matrix theory, while the multifractal regime is studied by considering the q-deformed random matrices. The PNV at both small and large values of X has distinct features in the weak disorder and multifractal regimes that should be observable in numerical studies.
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Document Type: Miscellaneous

Affiliations: 1: Department of Physics, University of Florida, Gainesville, FL 32611-8440, USA 2: Department of Mathematics, Imperial College, London SW7 2BZ, UK

Publication date: February 1, 1999

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