Mobility edges in one-dimensional finite-sized models with large quasi-periodic disorders

doi:10.1088/1674-1056/accdc9

中国物理B ›› 2023, Vol. 32 ›› Issue (12): 127202-127202.doi: 10.1088/1674-1056/accdc9

Mobility edges in one-dimensional finite-sized models with large quasi-periodic disorders

Qiyun Tang(汤起芸) and Yan He(贺言)^†

College of Physics, Sichuan University, Chengdu 610064, China

收稿日期:2023-03-07 修回日期:2023-04-13 接受日期:2023-04-18 出版日期:2023-11-14 发布日期:2023-11-14
通讯作者: Yan He E-mail:heyan_ctp@scu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No.11874272) and Science Specialty Program of Sichuan University (Grant No.2020SCUNL210).

Mobility edges in one-dimensional finite-sized models with large quasi-periodic disorders

Qiyun Tang(汤起芸) and Yan He(贺言)^†

College of Physics, Sichuan University, Chengdu 610064, China

Received:2023-03-07 Revised:2023-04-13 Accepted:2023-04-18 Online:2023-11-14 Published:2023-11-14
Contact: Yan He E-mail:heyan_ctp@scu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No.11874272) and Science Specialty Program of Sichuan University (Grant No.2020SCUNL210).

摘要/Abstract

摘要： We study the one-dimensional tight-binding model with quasi-periodic disorders, where the quasi-period is tuned to be large compared to the system size. It is found that this type of model with large quasi-periodic disorders can also support the mobility edges, which is very similar to the models with slowly varying quasi-periodic disorders. The energy-matching method is employed to determine the locations of mobility edges in both types of models. These results of mobility edges are verified by numerical calculations in various examples. We also provide qualitative arguments to support the fact that large quasi-periodic disorders will lead to the existence of mobility edges.

关键词: quasi-periodic disorders, mobility edges, Aubry-Andre model

Abstract: We study the one-dimensional tight-binding model with quasi-periodic disorders, where the quasi-period is tuned to be large compared to the system size. It is found that this type of model with large quasi-periodic disorders can also support the mobility edges, which is very similar to the models with slowly varying quasi-periodic disorders. The energy-matching method is employed to determine the locations of mobility edges in both types of models. These results of mobility edges are verified by numerical calculations in various examples. We also provide qualitative arguments to support the fact that large quasi-periodic disorders will lead to the existence of mobility edges.

Key words: quasi-periodic disorders, mobility edges, Aubry-Andre model

中图分类号: (Mobility edges; hopping transport)

72.20.Ee

71.23.-k (Electronic structure of disordered solids)

Qiyun Tang(汤起芸) and Yan He(贺言). Mobility edges in one-dimensional finite-sized models with large quasi-periodic disorders[J]. 中国物理B, 2023, 32(12): 127202-127202.

Qiyun Tang(汤起芸) and Yan He(贺言). Mobility edges in one-dimensional finite-sized models with large quasi-periodic disorders[J]. Chin. Phys. B, 2023, 32(12): 127202-127202.

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Mobility edges in one-dimensional finite-sized models with large quasi-periodic disorders

Mobility edges in one-dimensional finite-sized models with large quasi-periodic disorders

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