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Accumulation of scale-free localized states induced by local non-Hermiticity by Cui-Xian Guo; Xueliang Wang; Haiping Hu; Shu Chen is a Physics and Astronomy article available to read on EtoBox.

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The bulk states of Hermitian systems are believed insensitive to local Hermitian impurities or perturbations except for a few impurity-induced bound states. Thus, it is important to ask whether local non-Hermiticity can cause drastic changes to the original Hermitian systems. Here we address this issue affirmatively and present exact solutions for the double chain model with local non-Hermitian terms possessing parity-time (PT ) symmetry. Induced by the non-Hermiticity, the system undergoes a sequence of PT -symmetry breakings, after which the eigenenergies appear in complex conjugate pairs. The associated extended bulk states then become scale-free localized and unidirectionally accumulated around the impurity. There exist mobility edges separating the residual extended states until a full scale-free localization of all eigenstates. Further increasing the non-Hermitity counterintuitively brings the system to a PT -restoration regime with fully real spectra except for a pair of complex bound states. We demonstrate that the local non-Hermiticity generated scale-free localization is a general phenomenon and can even survive the quasiperiodic disorder. Our results indicate that the bu

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Author

Cui-Xian Guo; Xueliang Wang; Haiping Hu; Shu Chen

Publisher

American Physical Society (APS)

Published

2023

Language

EN

Field

Physics and Astronomy (Physical Sciences)