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Wavefunction statistics and multifractality at the spin quantum Hall transition

Mirlin, A. D. ; Evers, Ferdinand ; Mildenberger, A.


The statistical properties of wavefunctions at the critical point of the spin quantum Hall transition are studied. The main emphasis is put on the determination of the spectrum of multifractal exponents Δq governing the scaling of moments lang|ψ|2q}rang ~ L−qd−Δq with the system size L and the spatial decay of wavefunction correlations. Two- and three-point correlation functions are calculated ...


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