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Chin. Phys. B, 2021, Vol. 30(9): 097202    DOI: 10.1088/1674-1056/ac11e5
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES Prev   Next  

Mobility edges and reentrant localization in one-dimensional dimerized non-Hermitian quasiperiodic lattice

Xiang-Ping Jiang(蒋相平)1,2, Yi Qiao(乔艺)1,†, and Jun-Peng Cao(曹俊鹏)1,2,3,4
1 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
3 Songshan Lake Materials Laboratory, Dongguan 523808, China;
4 Peng Huanwu Center for Fundamental Theory, Xi'an 710127, China
Abstract  The mobility edges and reentrant localization transitions are studied in one-dimensional dimerized lattice with non-Hermitian either uniform or staggered quasiperiodic potentials. We find that the non-Hermitian uniform quasiperiodic disorder can induce an intermediate phase where the extended states coexist with the localized ones, which implies that the system has mobility edges. The localization transition is accompanied by the $\mathcal{PT}$ symmetry breaking transition. While if the non-Hermitian quasiperiodic disorder is staggered, we demonstrate the existence of multiple intermediate phases and multiple reentrant localization transitions based on the finite size scaling analysis. Interestingly, some already localized states will become extended states and can also be localized again for certain non-Hermitian parameters. The reentrant localization transitions are associated with the intermediate phases hosting mobility edges. Besides, we also find that the non-Hermiticity can break the reentrant localization transition where only one intermediate phase survives. More detailed information about the mobility edges and reentrant localization transitions are presented by analyzing the eigenenergy spectrum, inverse participation ratio, and normalized participation ratio.
Keywords:  Anderson localization      non-Hermitian quasiperiodic lattice      mobility edges  
Received:  06 May 2021      Revised:  19 June 2021      Accepted manuscript online:  07 July 2021
PACS:  61.44.Fw (Incommensurate crystals)  
  71.10.Fd (Lattice fermion models (Hubbard model, etc.))  
  71.23.An (Theories and models; localized states)  
Fund: Project supported by the National Key Research and Development Program of China (Grant Nos. 2016YFA0300600 and 2016YFA0302104), the National Natural Science Foundation of China (Grant Nos. 12074410, 12047502, 11934015, 11947301, and 11774397), the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB33000000), and the Fellowship of China Postdoctoral Science Foundation (Grant No. 2020M680724).
Corresponding Authors:  Yi Qiao     E-mail:  qiaoyi_joy@foxmail.com

Cite this article: 

Xiang-Ping Jiang(蒋相平), Yi Qiao(乔艺), and Jun-Peng Cao(曹俊鹏) Mobility edges and reentrant localization in one-dimensional dimerized non-Hermitian quasiperiodic lattice 2021 Chin. Phys. B 30 097202

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