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Title: Strict parabolicity of the multifractal spectrum at the Anderson transition

Journal Article · · Journal of Experimental and Theoretical Physics
 [1]
  1. Kapitza Institute for Physical Problems (Russian Federation)

Using the well-known “algebra of multifractality,” we derive the functional equation for anomalous dimensions Δ{sub 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.

OSTI ID:
22617133
Journal Information:
Journal of Experimental and Theoretical Physics, Vol. 123, Issue 5; Other Information: Copyright (c) 2016 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
Country of Publication:
United States
Language:
English