Phys. Rev. B 66, 094201 (2002) [4 pages]Fluctuation of correlation dimension and inverse participation number at the Anderson transitionReceived 1 July 2002; published 6 September 2002 The distribution of the correlation dimension in a power law band random matrix model having critical, i.e., multifractal, eigenstates is numerically investigated. It is shown that their probability distribution function has a fixed point as the system size is varied exactly at a value obtained from the scaling properties of the typical value of the inverse participation number. Therefore the state-to-state fluctuation of the correlation dimension is tightly linked to the scaling properties of the joint probability distribution of the eigenstates. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.66.094201
DOI:
10.1103/PhysRevB.66.094201
PACS:
63.50.+x, 71.30.+h, 61.43.Hv, 73.20.Jc
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