Critical parameters from generalised multifractal analysis at the Anderson transition

Details Critical parameters from generalised multifractal analysis at the Anderson transition Critical parameters from generalised multifractal analysis at the Anderson transition

2010-05-04

arxiv.org/abs/1005.0515v1

Phys. Rev. Lett. 105, 046403 (2010)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 3 figures, 2 tables

Scientific paper

10.1103/PhysRevLett.105.046403

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 wavefunction 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 wavefunction statistics obtained by exact diagonalization of the three-dimensional Anderson model, we estimate the critical exponent $\nu=1.58\pm 0.03$.

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