2008/07/14 by Alberto Rodriguez, Alberto Rodríguez, Louella Vasquez +3 · 1 citation
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Theoretical and Computational Physics #cond-mat.dis-nn
paper · pdf · doi:10.1103/physrevb.78.195107
published as Phys. Rev. B 78, 195107 (2008) · 10 pages, 13 figures
arxiv created 2008/07/14 · openalex publication_date 2008/11/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We study the multifractal analysis (MFA) of electronic wave functions at the localization-delocalization transition in the three-dimensional Anderson model for very large system sizes up to 2403. The singularity spectrum f(\ensuremathα) is numerically obtained using the ensemble average of the scaling law for the generalized inverse participation ratios Pq, employing box-size and system-size scaling. The validity of a recently reported symmetry law [Mirlin et al., Phys. Rev. Lett. 97, 046803 (2006)] for the multifractal spectrum is carefully analyzed at the metal-insulator transition. The results are compared to those obtained using different approaches, in particular the typical average of the scaling law. System-size scaling with ensemble average appears as the most adequate method to carry out the numerical MFA.