Erratic non-Hermitian skin localization
Abstract
A novel localization phenomenon, termed erratic non-Hermitian skin localization, has been identified in disordered globally-reciprocal non-Hermitian lattices. Unlike conventional non-Hermitian skin effect and Anderson localization, it features macroscopic eigenstate localization at irregular, disorder-dependent positions with sub-exponential decay. Using the Hatano-Nelson model with disordered imaginary gauge fields as a case study, this effect is linked to stochastic interfaces governed by the universal order statistics of random walks. Finite-size scaling analysis confirms the localized nature of the eigenstates. This discovery challenges conventional wave localization paradigms, offering new avenues for understanding and controlling localization phenomena in non-Hermitian physics.
Cite
@article{arxiv.2504.14910,
title = {Erratic non-Hermitian skin localization},
author = {Stefano Longhi},
journal= {arXiv preprint arXiv:2504.14910},
year = {2025}
}
Comments
7 pages, 5 figures, accepted for publication in the Physical Review Letters