Non-Hermitian delocalization in 1D via emergent compactness
Disordered Systems and Neural Networks
2025-02-27 v2 Statistical Mechanics
Quantum Physics
Abstract
Potential disorder in 1D leads to Anderson localization of the entire spectrum. Upon sacrificing hermiticity by adding non-reciprocal hopping, the non-Hermitian skin effect competes with localization. We find another route for delocalization, which involves imaginary potential disorder. While an entirely random potential generally still leads to localization, imposing minimal spatial structure to the disorder can protect delocalization: it endows the concomitant transfer matrix with an SU(2) structure, whose compactness in turn translates into an infinite localization length. The fraction of delocalized states can be tuned by the choice of boundary conditions.
Cite
@article{arxiv.2412.12490,
title = {Non-Hermitian delocalization in 1D via emergent compactness},
author = {Liang-Hong Mo and Zhenyu Xiao and Roderich Moessner and Hongzheng Zhao},
journal= {arXiv preprint arXiv:2412.12490},
year = {2025}
}