Anderson transition in disordered Hatano-Nelson systems
Disordered Systems and Neural Networks
2026-03-25 v2 Mesoscale and Nanoscale Physics
Quantum Physics
Abstract
We illuminate the fundamental mechanism responsible for the transition between the non-Hermitian skin effect and defect-induced Anderson localization in the bulk via the study of Lyapunov exponents. We obtain a proof that the change of the topological invariant associated with an eigenvalue coincides with the eigenvector crossover from non-Hermitian skin effect to Anderson localization, establishing a universal criterion for localization behavior.
Keywords
Cite
@article{arxiv.2603.18286,
title = {Anderson transition in disordered Hatano-Nelson systems},
author = {Silvio Barandun},
journal= {arXiv preprint arXiv:2603.18286},
year = {2026}
}