Parametric number variance of disordered systems in the multifractal regime |
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Authors: | C Blecken Y Chen K A Muttalib |
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Institution: |
a Department of Physics, University of Florida, Gainesville, FL, USA
b Department of Mathematics, Imperial College, London, UK |
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Abstract: | 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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Keywords: | |
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