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Rényi entropy and the multifractal spectra of systems near the localization transition

Rényi entropy and the multifractal spectra of systems near the localization transition

We show that the R\'enyi entropies of single particle, extended wave functions for disordered systems contain information about the multifractal spectrum. It is shown for moments of the R\'enyi entropy, $S_{n}$, where $|n|<1$, it is possible to extract universal information about the multifractility of such systems. This is shown through …