Phys Rev Lett. 2025 May 16;134(19):196302. doi: 10.1103/PhysRevLett.134.196302.
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 subexponential 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.
PMID:40446237 | DOI:10.1103/PhysRevLett.134.196302
