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

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arxiv 1101.4532 v2 pith:5HXAOWYL submitted 2011-01-24 cond-mat.dis-nn

I. Rushkin , A. Ossipov , Y. V. Fyodorov This is my paper · ORCID
classification cond-mat.dis-nn
keywords multifractalitycriticalensemblesmatrixorderrandomspectrumuniversal
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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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