Multifractality of Hamiltonians with power-law transfer terms

Details Multifractality of Hamiltonians with power-law transfer terms Multifractality of Hamiltonians with power-law transfer terms

2003-06-02

arxiv.org/abs/cond-mat/0306024v2

Phys. Rev. B 68, 184206 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

RevTex4, 5 two-column pages, 5 .eps figures, to be published in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.68.184206

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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