Statistical properties of critical wave functions at the spin quantum Hall transition are studied both numerically and analytically (via mapping onto the classical percolation). It is shown that the index η characterizing the decay of wave function correlations is equal to 1/4, at variance with the r−1/2 decay of the diffusion propagator. The multifractality spectra of eigenfunctions and of two-point conductances are found to be close-to-parabolic, Δq≃q(1−q)/8 and Xq≃q(3−q)/4.
@article{arxiv.cond-mat/0203134,
title = {Multifractality at the spin quantum Hall transition},
author = {F. Evers and A. Mildenberger and A. D. Mirlin},
journal= {arXiv preprint arXiv:cond-mat/0203134},
year = {2009}
}