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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Published in Russian in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2016, Vol. 150, No. 5, pp. 970–975.
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Suslov, I.M. Strict parabolicity of the multifractal spectrum at the Anderson transition. J. Exp. Theor. Phys. 123, 845–850 (2016). https://doi.org/10.1134/S1063776116110224
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DOI: https://doi.org/10.1134/S1063776116110224