Non-Hermitian delocalization in 1D via emergent compactness

Liang-Hong Mo; Zhenyu Xiao; Roderich Moessner; Hongzheng Zhao

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arXiv · 2412.12490

Non-Hermitian delocalization in 1D via emergent compactness

Liang-Hong Mo·Zhenyu Xiao·Roderich Moessner·Hongzheng Zhao

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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.

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Liang-Hong Mo, Zhenyu Xiao, Roderich Moessner, Hongzheng Zhao. 2024-12-17. Non-Hermitian delocalization in 1D via emergent compactness. https://arxiv.org/abs/2412.12490

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