Different topological phase transitions in the Su-Schrieffer-Heeger model under different disorder structures

doi:10.1088/1674-1056/ad59fb

中国物理B ›› 2024, Vol. 33 ›› Issue (9): 90202-090202.doi: 10.1088/1674-1056/ad59fb

Different topological phase transitions in the Su-Schrieffer-Heeger model under different disorder structures

Yan Gu(古燕)^1,† and Zhanpeng Lu(陆展鹏)^2,‡

1 Shanxi Vocational University of Engineering Science and Technology, Jinzhong 030619, China;
2 Institute of Theoretical Physics and State Key Laboratory of Quantum Optics and Quantum Optics Devices, Shanxi University, Taiyuan 030006, China

收稿日期:2024-03-19 修回日期:2024-06-03 接受日期:2024-06-20 发布日期:2024-08-15
通讯作者: Yan Gu, Zhanpeng Lu E-mail:guyan@sxgkd.edu.cn;201712605002@email.sxu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 12205176) and the High-level Talent Research Start-up Project (Grant No. RCK202231).

Different topological phase transitions in the Su-Schrieffer-Heeger model under different disorder structures

Yan Gu(古燕)^1,† and Zhanpeng Lu(陆展鹏)^2,‡

1 Shanxi Vocational University of Engineering Science and Technology, Jinzhong 030619, China;
2 Institute of Theoretical Physics and State Key Laboratory of Quantum Optics and Quantum Optics Devices, Shanxi University, Taiyuan 030006, China

Received:2024-03-19 Revised:2024-06-03 Accepted:2024-06-20 Published:2024-08-15
Contact: Yan Gu, Zhanpeng Lu E-mail:guyan@sxgkd.edu.cn;201712605002@email.sxu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 12205176) and the High-level Talent Research Start-up Project (Grant No. RCK202231).

摘要/Abstract

摘要： We investigate the topological phase transition in the Su-Schrieffer-Heeger model with the long-range hopping and quasi-periodic modulation. By numerically calculating the real-space winding number, we obtain topological phase diagrams for different disordered structures. These diagrams suggest that topological phase transitions are different by selecting the specific disordered structure. When quasi-periodic modulation is applied to intracell hopping, the resulting disorder induces topological Anderson insulator (TAI) phase with high winding number ($W=2$), but the topological states are destroyed as the disorder increases. Conversely, when intercell hoppings are modulated quasi-periodically, both TAI phase and the process of destruction and restoration of topological zero modes can be induced by disorder. These topological states remain robust even under strong disorder conditions. Our work demonstrates that disorder effects do not always disrupt topological states; rather, with a judicious selection of disordered structures, topological properties can be preserved.

关键词: topological insulator, quasi-periodic modulation

Abstract: We investigate the topological phase transition in the Su-Schrieffer-Heeger model with the long-range hopping and quasi-periodic modulation. By numerically calculating the real-space winding number, we obtain topological phase diagrams for different disordered structures. These diagrams suggest that topological phase transitions are different by selecting the specific disordered structure. When quasi-periodic modulation is applied to intracell hopping, the resulting disorder induces topological Anderson insulator (TAI) phase with high winding number ($W=2$), but the topological states are destroyed as the disorder increases. Conversely, when intercell hoppings are modulated quasi-periodically, both TAI phase and the process of destruction and restoration of topological zero modes can be induced by disorder. These topological states remain robust even under strong disorder conditions. Our work demonstrates that disorder effects do not always disrupt topological states; rather, with a judicious selection of disordered structures, topological properties can be preserved.

Key words: topological insulator, quasi-periodic modulation

中图分类号: (Geometry, differential geometry, and topology)

02.40.-k

73.43.Nq (Quantum phase transitions) 73.20.At (Surface states, band structure, electron density of states) 72.80.Ng (Disordered solids)

Yan Gu(古燕) and Zhanpeng Lu(陆展鹏). Different topological phase transitions in the Su-Schrieffer-Heeger model under different disorder structures[J]. 中国物理B, 2024, 33(9): 90202-090202.

Yan Gu(古燕) and Zhanpeng Lu(陆展鹏). Different topological phase transitions in the Su-Schrieffer-Heeger model under different disorder structures[J]. Chin. Phys. B, 2024, 33(9): 90202-090202.

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Different topological phase transitions in the Su-Schrieffer-Heeger model under different disorder structures

Different topological phase transitions in the Su-Schrieffer-Heeger model under different disorder structures

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