Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Strict parabolicity of the multifractal spectrum at the Anderson transition

Journal Article · · Journal of Experimental and Theoretical Physics
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, Journal Name: Journal of Experimental and Theoretical Physics Journal Issue: 5 Vol. 123; ISSN JTPHES; ISSN 1063-7761
Country of Publication:
United States
Language:
English

Similar Records

Multifractality and quantum diffusion from self-consistent theory of localization
Journal Article · Sat Nov 14 23:00:00 EST 2015 · Journal of Experimental and Theoretical Physics · OSTI ID:22471994

Visualization of Multifractal Superconductivity in a Two-Dimensional Transition Metal Dichalcogenide in the Weak-Disorder Regime
Journal Article · Wed May 27 20:00:00 EDT 2020 · Nano Letters · OSTI ID:1646805