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Critical parameters from a generalized multifractal analysis at the Anderson transition
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Rodriguez, A. (Alberto), Vasquez, Louella J., Slevin, Keith and Römer, Rudolf A. (2010) Critical parameters from a generalized multifractal analysis at the Anderson transition. Physical Review Letters, Vol.105 (No.4). article no. 046403 . doi:10.1103/PhysRevLett.105.046403 ISSN 0031-9007.
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Official URL: http://dx.doi.org/10.1103/PhysRevLett.105.046403
Abstract
We propose a generalization of multifractal analysis that is applicable to the critical regime of the Anderson localization-delocalization transition. The approach reveals that the behavior of the probability distribution of wave function amplitudes is sufficient to characterize the transition. In combination with finite-size scaling, this formalism permits the critical parameters to be estimated without the need for conductance or other transport measurements. Applying this method to high-precision data for wave function statistics obtained by exact diagonalization of the three-dimensional Anderson model, we estimate the critical exponent nu = 1.58 +/- 0.03.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics Faculty of Science, Engineering and Medicine > Science > Centre for Scientific Computing |
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Library of Congress Subject Headings (LCSH): | Metal-insulator transitions, Anderson model, Anisotropy, Multifractals | ||||
Journal or Publication Title: | Physical Review Letters | ||||
Publisher: | American Physical Society | ||||
ISSN: | 0031-9007 | ||||
Official Date: | 22 July 2010 | ||||
Dates: |
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Volume: | Vol.105 | ||||
Number: | No.4 | ||||
Number of Pages: | 4 | ||||
Page Range: | article no. 046403 | ||||
DOI: | 10.1103/PhysRevLett.105.046403 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC), Spanish Government | ||||
Grant number: | EP/F32323/1 (EPSRC), EP/C007042/1 (EPSRC), EP/D065135/1 (EPSRC), FIS2009-07880 (SG) |
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