Quasiperiodic and periodic extended Hatano-Nelson model: Anomalous complex-real transition and non-Hermitian skin effect

被引：1
作者：
Padhi, Soumya Ranjan [1 ,2 ]
Padhan, Ashirbad [1 ,2 ]
Banerjee, Sanchayan [1 ,2 ]
Mishra, Tapan [1 ,2 ]
机构：
[1] School of Physical Sciences, National Institute of Science Education and Research, Jatni
[2] Homi Bhabha National Institute, Training School Complex, Anushaktinagar, Mumbai
来源：
Physical Review B | 2024年 / 110卷 / 17期
关键词：
Compendex;
D O I：
10.1103/PhysRevB.110.174203
中图分类号：
学科分类号：
摘要：
We study the effect of quasiperiodic and periodic onsite potentials in a Hatano-Nelson model with next-nearest-neighbor hopping. By considering a nonreciprocal next-nearest-neighbor hopping and a quasiperiodic onsite potential under periodic boundary conditions, we show a breakdown of the typical correspondence between the delocalization-localization and complex-real transitions as a function of the potential strength. Moreover, we reveal that in the delocalized regime, when the potential strength increases, the eigenstates under open boundary conditions exhibit a bidirectional non-Hermitian skin effect, i.e., they tend to localize on both edges instead of localizing on either of the edges. However, when a periodic onsite potential is considered, the system not only exhibits a bidirectional skin effect but also shows a complete direction reversal of the skin effect as a function of the onsite periodic potential. © 2024 American Physical Society.
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