f(α) multifractal spectrum at strong and weak disorder
作者： E. Cuevas
DOI: 10.1103/PHYSREVB.68.024206
关键词: Physics 、 Thermodynamic limit 、 Multifractal system 、 Fractal 、 Spectrum (functional analysis) 、 Size dependence 、 Quantum mechanics 、 Coupling strength 、 Singularity 、 Amplitude
摘要: The system size dependence of the multifractal spectrum $f(\ensuremath{\alpha})$ and its singularity strength $\ensuremath{\alpha}$ is investigated numerically. We focus on one-dimensional (1D) 2D disordered systems with long-range random hopping amplitudes in both strong weak disorder regime. At macroscopic limit, it shown that parabolic In case disorder, other hand, strongly deviates from parabolicity. Within our numerical uncertainties has been found all corrections to form vanish at some finite value coupling strength.
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