Multifractality of Hamiltonians with power-law transfer terms

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 qless than or similar to4g(-1), where g is the coupling constant of the model.