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arXiv · 1101.4532

Universal and non-universal features of the multifractality exponents of critical wave-functions

I. Rushkin·A. Ossipov·Y. V. Fyodorov
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Abstract

We calculate perturbatively the multifractality spectrum of wave-functions in critical random matrix ensembles in the regime of weak multifractality. We show that in the leading order the spectrum is universal, while the higher order corrections are model-specific. Explicit results for the anomalous dimensions are derived in the power-law and ultrametric random matrix ensembles.

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I. Rushkin, A. Ossipov, Y. V. Fyodorov. 2011-03-25. Universal and non-universal features of the multifractality exponents of critical wave-functions. https://doi.org/10.1088/1742-5468%2F2011%2F03%2Fl03001

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