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Multifractality of wave functions at the quantum Hall transition revisited
Article
Evers, Ferdinand
, Mildenberger, A. and Mirlin, A. D.
(2001)
Multifractality of wave functions at the quantum Hall transition revisited.
Physical Review B 64 (24), p. 241303.
DOI to cite this document: 10.5283/epub.46245
Abstract
We investigate numerically the statistics of wave function amplitudes ψ(r) at the integer quantum Hall transition. It is demonstrated that in the limit of a large system size the distribution function of |ψ|2 is log-normal, so that the multifractal spectrum f(α) is exactly parabolic. Our findings lend strong support to a recent conjecture for a critical theory of the quantum Hall transition.
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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 | 64 | ||||
| Number of Issue or Book Chapter | 24 | ||||
| Page Range | p. 241303 | ||||
| Date | 16 November 2001 | ||||
| Date of publication | 05 Jul 2021 07:33 | ||||
| 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-462452 | ||||
| Item ID | 46245 |
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