| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Classifying extended, localized and critical states in quasiperiodic lattices via unsupervised learning |
| Bohan Zheng(郑博涵)1,†, Siyu Zhu(朱思宇)2,†, Xingping Zhou(周兴平)2,‡, and Tong Liu(刘通)3,§ |
1 School of Computer Science and Technology, School of Software, Nanjing University of Posts and Telecommunications, Nanjing 210023, China;
2 Institute of Quantum Information and Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;
3 Department of Applied Physics, School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210003, China |
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Abstract Classification of quantum phases is one of the most important areas of research in condensed matter physics. In this work, we obtain the phase diagram of one-dimensional quasiperiodic models via unsupervised learning. Firstly, we choose two advanced unsupervised learning algorithms, namely, density-based spatial clustering of applications with noise (DBSCAN) and ordering points to identify the clustering structure (OPTICS), to explore the distinct phases of the Aubry-André-Harper model and the quasiperiodic p-wave model. The unsupervised learning results match well with those obtained through traditional numerical diagonalization. Finally, we assess similarity across different algorithms and find that the highest degree of similarity between the results of unsupervised learning algorithms and those of traditional algorithms exceeds 98%. Our work sheds light on applications of unsupervised learning for phase classification.
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Received: 31 May 2024
Revised: 19 October 2024
Accepted manuscript online: 30 October 2024
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PACS:
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71.23.Ft
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(Quasicrystals)
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71.10.Fd
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(Lattice fermion models (Hubbard model, etc.))
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71.23.An
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(Theories and models; localized states)
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| Fund: Project supported by the Natural Science Foundation of Nanjing University of Posts and Telecommunications (Grant Nos. NY223109, NY220119, and NY221055), China Postdoctoral Science Foundation (Grant No. 2022M721693), and the National Natural Science Foundation of China (Grant No. 12404365). |
Corresponding Authors:
Xingping Zhou, Tong Liu
E-mail: zxp@njupt.edu.cn;t6tong@njupt.edu.cn
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Cite this article:
Bohan Zheng(郑博涵), Siyu Zhu(朱思宇), Xingping Zhou(周兴平), and Tong Liu(刘通) Classifying extended, localized and critical states in quasiperiodic lattices via unsupervised learning 2025 Chin. Phys. B 34 017103
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