• Corpus ID: 251105160

Low-Dimensional Life of Critical Anderson Electron

@inproceedings{Horvath2022LowDimensionalLO,
  title={Low-Dimensional Life of Critical Anderson Electron},
  author={Ivan Horv'ath and Peter Markovs},
  year={2022}
}

• Ivan Horv'ath, P. Markovs
• Published 27 July 2022
• Physics

We show that critical Anderson electron in 3 dimensions is present in its spatial effective support, which is a region of dimension ≈ 8 / 3, with probability 1 in infinite volume. Hence, its physics is fully confined to space of this lower dimension. Stated differently, effective description of space occupied by the critical Anderson electron becomes its full description in infinite volume. We then show that it is a general feature of recently introduced effective counting dimension that its subnominal value implies exact description by effective support.