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Dimensionality dependence of the wave-function statistics at the Anderson transition
Mildenberger, A., Evers, Ferdinand
and Mirlin, A. D.
(2002)
Dimensionality dependence of the wave-function statistics at the Anderson transition.
Physical Review B 66 (3), 033109.
Date of publication of this fulltext: 05 Jul 2021 08:59
Article
DOI to cite this document: 10.5283/epub.46234
Abstract
The statistics of critical wave functions at the Anderson transition in three and four dimensions are studied numerically. The distribution of the inverse participation ratios (IPRs) Pq is shown to acquire a scale-invariant form in the limit of large system size. Multifractality spectra governing the scaling of the ensemble-averaged IPRs are determined. Conjectures concerning the IPR statistics and the multifractality at the Anderson transition in a high spatial dimensionality are formulated.
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| Item type | Article | ||||
| Journal or Publication Title | Physical Review B | ||||
| Publisher: | American Physical Society (APS) | ||||
|---|---|---|---|---|---|
| Open Access Type: | Due to SHERPA/RoMEO | ||||
| Volume: | 66 | ||||
| Number of Issue or Book Chapter: | 3 | ||||
| Page Range: | 033109 | ||||
| Date | 29 July 2002 | ||||
| Institutions | Physics > Institute of Theroretical Physics > Chair Ferdinand Evers | ||||
| Identification Number |
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| Dewey Decimal Classification | 500 Science > 530 Physics | ||||
| Status | Published | ||||
| Refereed | Yes, this version has been refereed | ||||
| Created at the University of Regensburg | No | ||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-462344 | ||||
| Item ID | 46234 |
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