Strict parabolicity of the multifractal spectrum at the Anderson transition |
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Authors: | I. M. Suslov |
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Affiliation: | 1.Kapitza Institute for Physical Problems,Moscow,Russia |
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Abstract: | Using the well-known “algebra of multifractality,” we derive the functional equation for anomalous dimensions Δ q , whose solution Δ = χq(q–1) corresponds to strict parabolicity of the multifractal spectrum. This result demonstrates clearly that a correspondence of the nonlinear σ-models with the initial disordered systems is not exact. |
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