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

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

2011-01-24

arxiv.org/abs/1101.4532v2

J. Stat. Mech. (2011) L03001

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages

Scientific paper

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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