Multifractality of Hamiltonians with power-law transfer terms

2003/06/30 by E. Cuevas
Physics and Astronomy · #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.68.184206

published as Phys. Rev. B 68, 184206 (2003) · RevTex4, 5 two-column pages, 5 .eps figures, to be published in Phys. Rev. B

arxiv created 2003/11/07 · arxiv updated 2009/11/30

Abstract

Finite-size effects in the generalized fractal dimensions d_q are investigated numerically. We concentrate on a one-dimensional disordered model with long-range random hopping amplitudes in both the strong- and the weak-coupling regime. At the macroscopic limit, a linear dependence of d_q on q is found in both regimes for values of q \alt 4g^-1, where g is the coupling constant of the model.

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