Phase transition extracted by principal component analysis in the disordered Moore-Read state
Na Jiang(江娜)1,2,†, Shuaixin Fu(付帅鑫)1, Zhengzhi Ma(马正直)1, and Lian Wang(王莲)1
1 School of Materials Science and Engineering, Chongqing Jiaotong University, Chongqing 400074, China; 2 Southwest Center for Theoretical Physics, Chongqing University, Chongqing 401331, China
Abstract We study the influence of disorder on the Moore-Read state by principal component analysis (PCA), which is one of the ground state candidates for the 5/2 fractional Hall state. By using PCA, the topological features of the ground state wave functions with different disorder strengths can be distilled. As the disorder strength increases, the Moore-Read state will be destroyed. We explore the phase transition by analyzing the overlaps between the random sample wave functions and the topologically distilled state. The cross-point between the amplitudes of the principal component and its counterpart is the phase transition point. Additionally, the origin of the second component comes from the excited states, which is different from the Laughlin state.
Fund: This work was supported by the National Natural Science Foundation of China (Grant Nos. 12104075 and 12347101).
Corresponding Authors:
Na Jiang
E-mail: 990202000072@cqjtu.edu.cn
Cite this article:
Na Jiang(江娜), Shuaixin Fu(付帅鑫), Zhengzhi Ma(马正直), and Lian Wang(王莲) Phase transition extracted by principal component analysis in the disordered Moore-Read state 2025 Chin. Phys. B 34 047306
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