title: Critical parameters from a generalized multifractal analysis at the Anderson transition.
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 ν=1.58±0.03.
authors.affiliation: Department of Physics and Centre for Scientific Computing, University of Warwick, Coventry, CV4 7AL, United Kingdom. A.Rodriguez-Gonzalez@warwick.ac.uk
authors.forename: Alberto
authors.initials: A
authors.lastname: Rodriguez
authors.forename: Louella J
authors.initials: LJ
authors.lastname: Vasquez
authors.forename: Keith
authors.initials: K
authors.lastname: Slevin
authors.forename: Rudolf A
authors.initials: RA
authors.lastname: Römer