Topological Anderson insulator in two-dimensional non-Hermitian systems

doi:10.1088/1674-1056/ab8201

中国物理B ›› 2020, Vol. 29 ›› Issue (5): 50502-050502.doi: 10.1088/1674-1056/ab8201

所属专题： SPECIAL TOPIC — Topological 2D materials

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Topological Anderson insulator in two-dimensional non-Hermitian systems

Hongfang Liu(刘宏芳), Zixian Su(苏子贤), Zhi-Qiang Zhang(张智强), Hua Jiang(江华)

1 School of Physics and Technology, Soochow University, Suzhou 215006, China;
2 Institute for Advanced Study, Soochow University, Suzhou 215006, China

收稿日期:2020-01-02 修回日期:2020-02-15 出版日期:2020-05-05 发布日期:2020-05-05
通讯作者: Zhi-Qiang Zhang, Hua Jiang E-mail:zqzhang2018@stu.suda.edu.cn;jianghuaphy@suda.edu.cn
基金资助:
Project supported by the National Basic Research Program of China (Grant No. 2019YFA0308403), the National Natural Science Foundation of China (Grant No. 11822407), Undergraduate Training Program for Innovation and Entrepreneurship, Soochow University (Grant No. 201810285022Z), and a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions, China.

Topological Anderson insulator in two-dimensional non-Hermitian systems

Hongfang Liu(刘宏芳)¹, Zixian Su(苏子贤)¹, Zhi-Qiang Zhang(张智强)¹, Hua Jiang(江华)^1,2

1 School of Physics and Technology, Soochow University, Suzhou 215006, China;
2 Institute for Advanced Study, Soochow University, Suzhou 215006, China

Received:2020-01-02 Revised:2020-02-15 Online:2020-05-05 Published:2020-05-05
Contact: Zhi-Qiang Zhang, Hua Jiang E-mail:zqzhang2018@stu.suda.edu.cn;jianghuaphy@suda.edu.cn
Supported by:
Project supported by the National Basic Research Program of China (Grant No. 2019YFA0308403), the National Natural Science Foundation of China (Grant No. 11822407), Undergraduate Training Program for Innovation and Entrepreneurship, Soochow University (Grant No. 201810285022Z), and a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions, China.

摘要/Abstract

摘要： We study the disorder-induced phase transition in two-dimensional non-Hermitian systems. First, the applicability of the noncommutative geometric method (NGM) in non-Hermitian systems is examined. By calculating the Chern number of two different systems (a square sample and a cylindrical one), the numerical results calculated by NGM are compared with the analytical one, and the phase boundary obtained by NGM is found to be in good agreement with the theoretical prediction. Then, we use NGM to investigate the evolution of the Chern number in non-Hermitian samples with the disorder effect. For the square sample, the stability of the non-Hermitian Chern insulator under disorder is confirmed. Significantly, we obtain a nontrivial topological phase induced by disorder. This phase is understood as the topological Anderson insulator in non-Hermitian systems. Finally, the disordered phase transition in the cylindrical sample is also investigated. The clean non-Hermitian cylindrical sample has three phases, and such samples show more phase transitions by varying the disorder strength: (1) the normal insulator phase to the gapless phase, (2) the normal insulator phase to the topological Anderson insulator phase, and (3) the gapless phase to the topological Anderson insulator phase.

关键词: disorder effect, topological Anderson insulator, non-Hermitian systems

Abstract: We study the disorder-induced phase transition in two-dimensional non-Hermitian systems. First, the applicability of the noncommutative geometric method (NGM) in non-Hermitian systems is examined. By calculating the Chern number of two different systems (a square sample and a cylindrical one), the numerical results calculated by NGM are compared with the analytical one, and the phase boundary obtained by NGM is found to be in good agreement with the theoretical prediction. Then, we use NGM to investigate the evolution of the Chern number in non-Hermitian samples with the disorder effect. For the square sample, the stability of the non-Hermitian Chern insulator under disorder is confirmed. Significantly, we obtain a nontrivial topological phase induced by disorder. This phase is understood as the topological Anderson insulator in non-Hermitian systems. Finally, the disordered phase transition in the cylindrical sample is also investigated. The clean non-Hermitian cylindrical sample has three phases, and such samples show more phase transitions by varying the disorder strength: (1) the normal insulator phase to the gapless phase, (2) the normal insulator phase to the topological Anderson insulator phase, and (3) the gapless phase to the topological Anderson insulator phase.

Key words: disorder effect, topological Anderson insulator, non-Hermitian systems

中图分类号: (Lattice theory and statistics)

05.50.+q

03.65.Vf (Phases: geometric; dynamic or topological)

刘宏芳, 苏子贤, 张智强, 江华. Topological Anderson insulator in two-dimensional non-Hermitian systems[J]. 中国物理B, 2020, 29(5): 50502-050502.

Hongfang Liu(刘宏芳), Zixian Su(苏子贤), Zhi-Qiang Zhang(张智强), Hua Jiang(江华). Topological Anderson insulator in two-dimensional non-Hermitian systems[J]. Chin. Phys. B, 2020, 29(5): 50502-050502.

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Topological Anderson insulator in two-dimensional non-Hermitian systems

Topological Anderson insulator in two-dimensional non-Hermitian systems

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