Related papers: Non-Hermitian delocalization in 1D via emergent compactness

Non-Hermitian delocalization in 1D via emergent compactness

URL: http://arxiv.org/abs/2412.12490v1
Date: Tue, 17 Dec 2024 02:45:21 GMT
Title: Non-Hermitian delocalization in 1D via emergent compactness
Authors: Liang-Hong Mo, Zhenyu Xiao, Roderich Moessner, Hongzheng Zhao,
Abstract summary: We find another route for delocalization, which involves imaginary potential disorder. While an entirely random potential generally leads to localization, imposing minimal spatial structure to the disorder can protect delocalization.
Score: 4.389212459491441
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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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