Dimensionality dependence of the wave function statistics at the Anderson transition
Disordered Systems and Neural Networks
2009-11-07 v1
Abstract
The statistics of critical wave functions at the Anderson transition in three and four dimensions are studied numerically. The distribution of the inverse participation ratios (IPR) is shown to acquire a scale-invariant form in the limit of large system size. Multifractality spectra governing the scaling of the ensemble-averaged IPRs are determined. Conjectures concerning the IPR statistics and the multifractality at the Anderson transition in a high spatial dimensionality are formulated.
Keywords
Cite
@article{arxiv.cond-mat/0111081,
title = {Dimensionality dependence of the wave function statistics at the Anderson transition},
author = {A. Mildenberger and F. Evers and A. D. Mirlin},
journal= {arXiv preprint arXiv:cond-mat/0111081},
year = {2009}
}
Comments
4 pages, 4 figures