Journal
PHYSICAL REVIEW LETTERS
Volume 88, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.88.016401
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We investigate numerically the inverse participation ratio, P-2, of the 3D Anderson model and of the power-law random banded matrix (PRBM) model at criticality. We found that the variance of InP2 scales with system size L as sigma(2)(L) = sigma(2)(infinity) - AL-(D2/2d), with D-2 being the correlation dimension and d the system dimension. Therefore the concept of a correlation dimension is well defined in the two models considered. The 3D Anderson transition and the PRBM transition for b = 0.3 (see the text for the definition of b) are fairly similar with respect to all critical magnitudes studied.
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