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Multifractality at the spin quantum Hall transition

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Evers, Ferdinand ; Mildenberger, A. ; Mirlin, A. D.
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Date of publication of this fulltext: 05 Jul 2021 09:06


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.

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