Strict parabolicity of the multifractal spectrum at the Anderson transition

I. M. Suslov

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arXiv · 1412.5339

Strict parabolicity of the multifractal spectrum at the Anderson transition

I. M. Suslov

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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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I. M. Suslov. 2014-12-17. Strict parabolicity of the multifractal spectrum at the Anderson transition. https://arxiv.org/abs/1412.5339

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