Non-Hermitian quasicrystal in dimerized lattices

doi:10.1088/1674-1056/ac1efc

中国物理B ›› 2021, Vol. 30 ›› Issue (10): 100308-100308.doi: 10.1088/1674-1056/ac1efc

所属专题： SPECIAL TOPIC — Non-Hermitian physics

Non-Hermitian quasicrystal in dimerized lattices

Longwen Zhou(周龙文)^† and Wenqian Han(韩雯岍)

College of Physics and Optoelectronic Engineering, Ocean University of China, Qingdao 266100, China

收稿日期:2021-05-14 修回日期:2021-07-07 接受日期:2021-08-19 出版日期:2021-09-17 发布日期:2021-09-17
通讯作者: Longwen Zhou E-mail:zhoulongwen@ouc.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11905211), the China Postdoctoral Science Foundation (Grant No. 2019M662444), the Fundamental Research Funds for the Central Universities, China (Grant No. 841912009), the Young Talents Project at Ocean University of China (Grant No. 861801013196), and the Applied Research Project of Postdoctoral Fellows in Qingdao (Grant No. 861905040009).

Non-Hermitian quasicrystal in dimerized lattices

Longwen Zhou(周龙文)^† and Wenqian Han(韩雯岍)

College of Physics and Optoelectronic Engineering, Ocean University of China, Qingdao 266100, China

Received:2021-05-14 Revised:2021-07-07 Accepted:2021-08-19 Online:2021-09-17 Published:2021-09-17
Contact: Longwen Zhou E-mail:zhoulongwen@ouc.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11905211), the China Postdoctoral Science Foundation (Grant No. 2019M662444), the Fundamental Research Funds for the Central Universities, China (Grant No. 841912009), the Young Talents Project at Ocean University of China (Grant No. 861801013196), and the Applied Research Project of Postdoctoral Fellows in Qingdao (Grant No. 861905040009).

摘要/Abstract

摘要： Non-Hermitian quasicrystals possess $\mathcal{PT}$ and metal-insulator transitions induced by gain and loss or nonreciprocal effects. In this work, we uncover the nature of localization transitions in a generalized Aubry-André-Harper model with dimerized hopping amplitudes and complex onsite potential. By investigating the spectrum, adjacent gap ratios and inverse participation ratios, we find an extended phase, a localized phase and a mobility edge phase, which are originated from the interplay between hopping dimerizations and non-Hermitian onsite potential. The lower and upper bounds of the mobility edge are further characterized by a pair of topological winding numbers, which undergo quantized jumps at the boundaries between different phases. Our discoveries thus unveil the richness of topological and transport phenomena in dimerized non-Hermitian quasicrystals.

关键词: non-Hermitian system, quasicrystal, localization, topological phase

Abstract: Non-Hermitian quasicrystals possess $\mathcal{PT}$ and metal-insulator transitions induced by gain and loss or nonreciprocal effects. In this work, we uncover the nature of localization transitions in a generalized Aubry-André-Harper model with dimerized hopping amplitudes and complex onsite potential. By investigating the spectrum, adjacent gap ratios and inverse participation ratios, we find an extended phase, a localized phase and a mobility edge phase, which are originated from the interplay between hopping dimerizations and non-Hermitian onsite potential. The lower and upper bounds of the mobility edge are further characterized by a pair of topological winding numbers, which undergo quantized jumps at the boundaries between different phases. Our discoveries thus unveil the richness of topological and transport phenomena in dimerized non-Hermitian quasicrystals.

Key words: non-Hermitian system, quasicrystal, localization, topological phase

中图分类号: (Decoherence; open systems; quantum statistical methods)

03.65.Yz

71.23.Ft (Quasicrystals) 72.15.Rn (Localization effects (Anderson or weak localization)) 03.65.Vf (Phases: geometric; dynamic or topological)

Longwen Zhou(周龙文) and Wenqian Han(韩雯岍). Non-Hermitian quasicrystal in dimerized lattices[J]. 中国物理B, 2021, 30(10): 100308-100308.

Longwen Zhou(周龙文) and Wenqian Han(韩雯岍). Non-Hermitian quasicrystal in dimerized lattices[J]. Chin. Phys. B, 2021, 30(10): 100308-100308.

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Non-Hermitian quasicrystal in dimerized lattices

Non-Hermitian quasicrystal in dimerized lattices

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