2000 character limit reached
Strict parabolicity of the multifractal spectrum at the Anderson transition
Published 17 Dec 2014 in cond-mat.dis-nn | (1412.5339v4)
Abstract: Using the well-known "algebra of multifractality", we derive the functional equation for anomalous dimensions \Delta_q, whose solution \Delta_q=aq(q-1) corresponds to strict parabolicity of the multifractal spectrum. This result demonstrates clearly that a correspondence of \sigma-models with the initial disordered systems is not exact.
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