• Corpus ID: 239049638

Super-Universality in Anderson Localization

@inproceedings{Horvath2021SuperUniversalityIA,
  title={Super-Universality in Anderson Localization},
  author={Ivan Horv'ath and Peter Markovs},
  year={2021}
}

• Ivan Horv'ath, P. Markovs
• Published 21 October 2021
• Mathematics

We calculate the effective spatial dimension dIR of electron modes at critical points of 3D Anderson models in various universality classes (O,U,S,AIII). The results are equal within errors, and suggest the super-universal value dIR = 2.665(3)≈ 8/3. The existence of such a unique marker may help identify natural processes driven by Anderson localization, and provide new insight into the spatial geometry of Anderson transitions. The recently introduced dIR is a measure-based dimension of Minkowski/Hausdorff type, designed to characterize probability-induced effective subsets.