Disorder induced phase transition in magnetic higher-order topological insulator: A machine learning study

doi:10.1088/1674-1056/ab4582

中国物理B ›› 2019, Vol. 28 ›› Issue (11): 117301-117301.doi: 10.1088/1674-1056/ab4582

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

Disorder induced phase transition in magnetic higher-order topological insulator: A machine learning study

Zixian Su(苏子贤), Yanzhuo Kang(康艳卓), Bofeng Zhang(张博峰), Zhiqiang Zhang(张智强), Hua Jiang(江华)

1 School of Physics and Technology, Soochow University, Suzhou 215006, China;
2 College of Physics and Electronic Science, Changsha University of Science and Technology, Changsha 410114, China;
3 Institute for Advanced Study, Soochow University, Suzhou 215006, China

收稿日期:2019-06-10 修回日期:2019-09-12 出版日期:2019-11-05 发布日期:2019-11-05
通讯作者: Zhiqiang Zhang E-mail:zqzhang2018@stu.suda.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11822407) and the Priority Academic Program Development of Jiangsu Higher Education Institutions, China.

Disorder induced phase transition in magnetic higher-order topological insulator: A machine learning study

Zixian Su(苏子贤)¹, Yanzhuo Kang(康艳卓)², Bofeng Zhang(张博峰)¹, Zhiqiang Zhang(张智强)¹, Hua Jiang(江华)^1,3

1 School of Physics and Technology, Soochow University, Suzhou 215006, China;
2 College of Physics and Electronic Science, Changsha University of Science and Technology, Changsha 410114, China;
3 Institute for Advanced Study, Soochow University, Suzhou 215006, China

Received:2019-06-10 Revised:2019-09-12 Online:2019-11-05 Published:2019-11-05
Contact: Zhiqiang Zhang E-mail:zqzhang2018@stu.suda.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11822407) and the Priority Academic Program Development of Jiangsu Higher Education Institutions, China.

摘要/Abstract

摘要： Previous studies presented the phase diagram induced by the disorder existing separately either in the higher-order topological states or in the topological trivial states, respectively. However, the influence of disorder on the system with the coexistence of the higher-order topological states and other traditional topological states has not been investigated. In this paper, we investigate the disorder induced phase transition in the magnetic higher-order topological insulator. By using the convolutional neural network and non-commutative geometry methods, two independent phase diagrams are calculated. With the comparison between these two diagrams, a topological transition from the normal insulator to the Chern insulator is confirmed. Furthermore, the network based on eigenstate wavefunction studies also presents a transition between the higher-order topological insulator and the Chern insulator.

关键词: disorder effects, convolution neural network, higher-order topological states

Abstract: Previous studies presented the phase diagram induced by the disorder existing separately either in the higher-order topological states or in the topological trivial states, respectively. However, the influence of disorder on the system with the coexistence of the higher-order topological states and other traditional topological states has not been investigated. In this paper, we investigate the disorder induced phase transition in the magnetic higher-order topological insulator. By using the convolutional neural network and non-commutative geometry methods, two independent phase diagrams are calculated. With the comparison between these two diagrams, a topological transition from the normal insulator to the Chern insulator is confirmed. Furthermore, the network based on eigenstate wavefunction studies also presents a transition between the higher-order topological insulator and the Chern insulator.

Key words: disorder effects, convolution neural network, higher-order topological states

中图分类号: (Phase transitions: general studies)

05.70.Fh

72.80.Ng (Disordered solids) 03.65.Vf (Phases: geometric; dynamic or topological)

苏子贤, 康艳卓, 张博峰, 张智强, 江华. Disorder induced phase transition in magnetic higher-order topological insulator: A machine learning study[J]. 中国物理B, 2019, 28(11): 117301-117301.

Zixian Su(苏子贤), Yanzhuo Kang(康艳卓), Bofeng Zhang(张博峰), Zhiqiang Zhang(张智强), Hua Jiang(江华). Disorder induced phase transition in magnetic higher-order topological insulator: A machine learning study[J]. Chin. Phys. B, 2019, 28(11): 117301-117301.

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Disorder induced phase transition in magnetic higher-order topological insulator: A machine learning study

Disorder induced phase transition in magnetic higher-order topological insulator: A machine learning study

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