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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 |
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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.
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Received: 19 March 2024
Revised: 03 June 2024
Accepted manuscript online: 20 June 2024
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PACS:
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02.40.-k
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(Geometry, differential geometry, and topology)
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73.43.Nq
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(Quantum phase transitions)
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73.20.At
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(Surface states, band structure, electron density of states)
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72.80.Ng
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(Disordered solids)
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| Fund: 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). |
Corresponding Authors:
Yan Gu, Zhanpeng Lu
E-mail: guyan@sxgkd.edu.cn;201712605002@email.sxu.edu.cn
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Cite this article:
Yan Gu(古燕) and Zhanpeng Lu(陆展鹏) Different topological phase transitions in the Su-Schrieffer-Heeger model under different disorder structures 2024 Chin. Phys. B 33 090202
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