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Non-Hermitian delocalization in 1D via emergent compactness by Mo, Liang-Hong; Xiao, Zhenyu; Moessner, Roderich; Zhao, Hongzheng is a scholarly article available to read on EtoBox.

What is Non-Hermitian delocalization in 1D via emergent compactness about?

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.

Author

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

Published

2024

Language

EN