Phase diagram of a family of one-dimensional nearest-neighbor tight-binding models with an exact mobility edge

doi:10.1088/1674-1056/26/7/077202

中国物理B ›› 2017, Vol. 26 ›› Issue (7): 77202-077202.doi: 10.1088/1674-1056/26/7/077202

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

Phase diagram of a family of one-dimensional nearest-neighbor tight-binding models with an exact mobility edge

Long-Yan Gong(巩龙延), Xiao-Xin Zhao(赵小新)

1 Department of Applied Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;
2 Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;
3 National Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210093, China

收稿日期:2017-02-17 修回日期:2017-04-14 出版日期:2017-07-05 发布日期:2017-07-05
通讯作者: Long-Yan Gong E-mail:lygong@njupt.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos.61475075 and 61170321).

Phase diagram of a family of one-dimensional nearest-neighbor tight-binding models with an exact mobility edge

Long-Yan Gong(巩龙延)^1,2,3, Xiao-Xin Zhao(赵小新)²

1 Department of Applied Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;
2 Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;
3 National Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210093, China

Received:2017-02-17 Revised:2017-04-14 Online:2017-07-05 Published:2017-07-05
Contact: Long-Yan Gong E-mail:lygong@njupt.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos.61475075 and 61170321).

摘要/Abstract

摘要：

Recently, an interesting family of quasiperiodic models with exact mobility edges (MEs) has been proposed (Phys. Rev. Lett. 114 146601 (2015)). It is self-dual under a generalized duality transformation. However, such transformation is not obvious to map extended (localized) states in the real space to localized (extended) ones in the Fourier space. Therefore, it needs more convictive evidences to confirm the existence of MEs. We use the second moment of wave functions, Shannon information entropies, and Lypanunov exponents to characterize the localization properties of the eigenstates, respectively. Furthermore, we obtain the phase diagram of the model. Our numerical results support the existing analytical findings.

关键词: Anderson localization, quasiperiodic model, mobility edge

Abstract:

Key words: Anderson localization, quasiperiodic model, mobility edge

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

72.20.Ee

72.15.Rn (Localization effects (Anderson or weak localization)) 71.23.An (Theories and models; localized states)

巩龙延, 赵小新. Phase diagram of a family of one-dimensional nearest-neighbor tight-binding models with an exact mobility edge[J]. 中国物理B, 2017, 26(7): 77202-077202.

Long-Yan Gong(巩龙延), Xiao-Xin Zhao(赵小新). Phase diagram of a family of one-dimensional nearest-neighbor tight-binding models with an exact mobility edge[J]. Chin. Phys. B, 2017, 26(7): 77202-077202.

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Phase diagram of a family of one-dimensional nearest-neighbor tight-binding models with an exact mobility edge

Phase diagram of a family of one-dimensional nearest-neighbor tight-binding models with an exact mobility edge

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