English

Diffusion in the Anderson model in higher dimensions

Strongly Correlated Electrons 2021-06-16 v2

Abstract

We present an extended microcanonical Lanczos method (MCLM) for a direct evaluation of the diffusion constant and its frequency dependence within the disordered Anderson model of noninteracting particles. The method allows to study systems beyond 10610^6 sites of hypercubic lattices in d=37 d = 3- 7 dimensions. Below the transition to localization, where we confirm dynamical scaling behavour, of interest is a wide region of incoherent diffusion, similar to percolating phenomena and to interacting many-body localized systems.

Keywords

Cite

@article{arxiv.2104.07801,
  title  = {Diffusion in the Anderson model in higher dimensions},
  author = {P. Prelovšek and J. Herbrych},
  journal= {arXiv preprint arXiv:2104.07801},
  year   = {2021}
}
R2 v1 2026-06-24T01:13:25.858Z