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Breakdown of the correspondence between the real-complex and delocalization-localization transitions in non-Hermitian quasicrystals

Breakdown of the correspondence between the real-complex and delocalization-localization transitions in non-Hermitian quasicrystals

The correspondence between the real-complex transition in energy and delocalization-localization transition is well established in a class of Aubry-Andr\'e-Harper model with exponential non-Hermitian on-site potentials. In this paper, we study a generalized Aubry-Andr\'e model with off-diagonal modulation and non-Hermitian on-site potential. We find that, when there exists an incommensurate off-diagonal …