Mobility edges generated by the non-Hermitian flatband lattice

doi:10.1088/1674-1056/ac6581

中国物理B ›› 2023, Vol. 32 ›› Issue (2): 27102-027102.doi: 10.1088/1674-1056/ac6581

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

收稿日期:2022-02-04 修回日期:2022-04-01 接受日期:2022-04-08 出版日期:2023-01-10 发布日期:2023-01-31
通讯作者: Tong Liu E-mail:t6tong@njupt.edu.cn
基金资助:
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).

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

Received:2022-02-04 Revised:2022-04-01 Accepted:2022-04-08 Online:2023-01-10 Published:2023-01-31
Contact: Tong Liu E-mail:t6tong@njupt.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: non-Hermitian, quasiperiodic, mobility edge

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.

Key words: non-Hermitian, quasiperiodic, mobility edge

中图分类号: (Lattice fermion models (Hubbard model, etc.))

71.10.Fd

71.23.An (Theories and models; localized states) 61.44.Fw (Incommensurate crystals)

Tong Liu(刘通) and Shujie Cheng(成书杰). Mobility edges generated by the non-Hermitian flatband lattice[J]. 中国物理B, 2023, 32(2): 27102-027102.

Tong Liu(刘通) and Shujie Cheng(成书杰). Mobility edges generated by the non-Hermitian flatband lattice[J]. Chin. Phys. B, 2023, 32(2): 27102-027102.

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Mobility edges generated by the non-Hermitian flatband lattice

Mobility edges generated by the non-Hermitian flatband lattice

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