Mobility edges generated by the non-Hermitian flatband lattice
Tong Liu(刘通)1,† and Shujie Cheng(成书杰)2
1 School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210003, China; 2 Department of Physics, Zhejiang Normal University, Jinhua 321004, China
Abstract We study the cross-stitch flatband lattice subject to the quasiperiodic complex potential exp(ix). We firstly identify the exact expression of quadratic mobility edges through analytical calculation, then verify the theoretical predictions by numerically calculating the inverse participation ratio. Further more, we study the relationship between the real-complex spectrum transition and the localization-delocalization transition, and demonstrate that mobility edges in this non-Hermitian model not only separate localized from extended states but also indicate the coexistence of complex and real spectrum.
Fund: Project supported by the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20200737), NUPTSF (Grant Nos. NY220090 and NY220208), the National Natural Science Foundation of China (Grant No. 12074064), the Innovation Research Project of Jiangsu Province, China (Grant No. JSSCBS20210521), and China Postdoctoral Science Foundation (Grant No. 2022M721693).
Corresponding Authors:
Tong Liu
E-mail: t6tong@njupt.edu.cn
Cite this article:
Tong Liu(刘通) and Shujie Cheng(成书杰) Mobility edges generated by the non-Hermitian flatband lattice 2023 Chin. Phys. B 32 027102
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