Fluctuations of the correlation dimension at metal-insulator transitions
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Knowledge AreaFísica Aplicada
SponsorsWe would like to thank I.V. Lerner and A. Mirlin for useful discussions, and the Spanish DGESIC, project numbers 1FD97-1358 and BFM2000-1059, for financial support.
PublisherAmerican Physical Society
Bibliographic CitationCUEVAS, E.,ORTUÑO, M., GASPARIAN, V., PÉREZ GARRIDO, A. Fluctuations of the correlation dimension at metal-insulator transitions. Physical Review Letters, 88 (1): 016401.1-016401.4, 2002. ISSN 0031-9007
KeywordsModelo de 3D de Andersen
We investigate numerically the inverse participation ratio, P2, of the 3D Anderson model and of the power-law random banded matrix (PRBM) model at criticality. We found that the variance of ln P2 scales with system size L as 2(L) = 2(∞) − AL−D2/2d, being D2 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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