• 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}
}
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… 

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References

SHOWING 1-10 OF 22 REFERENCES
50 Years of Anderson Localization
Thoughts on Localization (P W Anderson) Anderson Localization in the Seventies and Beyond (D J Thouless) Weak Electron Localization Past and Present (T V Ramakrishnan) Self-Consistent Theory of
Phys
  • Rev. Lett. 127, 052303
  • 2021
Quantum Rep
  • 3, 534
  • 2021
and R
  • Shindou, Physical Review B 104
  • 2021
Entropy 22
  • 1273
  • 2020
COMP
Phys
  • Rev. D 100, 094507
  • 2019
and a at
  • The William Makepeace Thackeray Library
  • 2018
Phys
  • Rev. D 92, 094513
  • 2015
Phys
  • Rev. Lett. 112, 102002
  • 2014
...
1
2
3
...