English

How nonlinear interactions challenge the three-dimensional Anderson transition

Disordered Systems and Neural Networks 2014-05-21 v2

Abstract

In disordered systems, our present understanding of the Anderson transition is hampered by the possible presence of interactions between particles. We demonstrate that in boson gases, even weak interactions deeply alter the very nature of the Anderson transition. While there still exists a critical point in the system, below that point a novel phase appears, displaying a new critical exponent, subdiffusive transport and a breakdown of the one-parameter scaling description of Anderson localization.

Keywords

Cite

@article{arxiv.1401.1038,
  title  = {How nonlinear interactions challenge the three-dimensional Anderson transition},
  author = {Nicolas Cherroret and Benoît Vermersch and Jean Claude Garreau and Dominique Delande},
  journal= {arXiv preprint arXiv:1401.1038},
  year   = {2014}
}

Comments

5 pages, 4 figures

R2 v1 2026-06-22T02:39:37.643Z