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Multifractal analysis of the metal-insulator transition in the three-dimensional Anderson model. II. Symmetry relation under ensemble averaging
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Rodriguez, A. (Alberto), Vasquez, Louella J. and Roemer, Rudolf A.. (2008) Multifractal analysis of the metal-insulator transition in the three-dimensional Anderson model. II. Symmetry relation under ensemble averaging. Physical Review B (Condensed Matter and Materials Physics), Vol.78 (No.19). article no.195107 . ISSN 1098-0121
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Official URL: http://dx.doi.org/10.1103/PhysRevB.78.195107
Abstract
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 240(3). The singularity spectrum f(alpha) is numerically obtained using the ensemble average of the scaling law for the generalized inverse participation ratios P-q, employing box-size and system-size scaling. The validity of a recently reported symmetry law [Mirlin , 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.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QC Physics |
| Divisions: | Faculty of Science > Physics Faculty of Science > Centre for Scientific Computing |
| Library of Congress Subject Headings (LCSH): | Anderson model, Metal-insulator transitions, Multifractals |
| Journal or Publication Title: | Physical Review B (Condensed Matter and Materials Physics) |
| Publisher: | American Physical Society |
| ISSN: | 1098-0121 |
| Date: | November 2008 |
| Volume: | Vol.78 |
| Number: | No.19 |
| Number of Pages: | 9 |
| Page Range: | article no.195107 |
| Identification Number: | 10.1103/PhysRevB.78.195107 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Funder: | Engineering and Physical Sciences Research Council (EPSRC), Spanish Government, Castilla y León (Spain). Junta |
| Grant number: | EP/C007042/1 (EPSRC), JC2007-00303 (SG), FIS2006-00716 (SG), MMA-A106/2007 (SG), SA052A07 (JCyL) |
| URI: | http://wrap.warwick.ac.uk/id/eprint/28669 |
Data sourced from Thomson Reuters' Web of Knowledge
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