Rodriguez, A. (Alberto), Vasquez, Louella J., Slevin, Keith and Roemer, Rudolf A.. (2010) Critical parameters from a generalized multifractal analysis at the Anderson transition. Physical Review Letters, Vol.105 (No.4). article no. 046403 . ISSN 0031-9007

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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
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science > Physics Faculty of Science > Centre for Scientific Computing
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
Date:	22 July 2010
Volume:	Vol.105
Number:	No.4
Number of Pages:	4
Page Range:	article no. 046403
Identification Number:	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)
URI:	http://wrap.warwick.ac.uk/id/eprint/5493

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