$f(α)$ Multifractal spectrum at strong and weak disorder
| dc.creator | Cuevas, E. | |
| dc.date | 2002-09-26 | |
| dc.date | 2003-07-14 | |
| dc.date.accessioned | 2026-07-07T02:47:27Z | |
| dc.date.available | 2026-07-07T02:47:27Z | |
| dc.description | The system size dependence of the multifractal spectrum $f(α)$ and its singularity strength $α$ is investigated numerically. We focus on one-dimensional (1D) and 2D disordered systems with long-range random hopping amplitudes in both the strong and the weak disorder regime. At the macroscopic limit, it is shown that $f(α)$ is parabolic in the weak disorder regime. In the case of strong disorder, on the other hand, $f(α)$ strongly deviates from parabolicity. Within our numerical uncertainties it has been found that all corrections to the parabolic form vanish at some finite value of the coupling strength. | |
| dc.description | RevTex4, 6 two-column pages, 4 .eps figures, new results added, updated references, to be published in Phys. Rev. B | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0209618 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0209618 | |
| dc.identifier | Phys. Rev. B 68, 024206 (2003) | |
| dc.identifier | doi:10.1103/PhysRevB.68.024206 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20018 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | $f(α)$ Multifractal spectrum at strong and weak disorder | |
| dc.type | text |