Phase transition extracted by principal component analysis in the disordered Moore–Read state  

作　　者：Na Jiang Shuaixin Fu Zhengzhi Ma Lian Wang 江娜;付帅鑫;马正直;王莲

机构地区：[1]School of Materials Science and Engineering,Chongqing Jiaotong University,Chongqing 400074,China [2]Southwest Center for Theoretical Physics,Chongqing University,Chongqing 401331,China

出　　处：《Chinese Physics B》2025年第4期552-558,共7页中国物理B(英文版)

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.12104075 and 12347101).

摘　　要：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.

关 键 词：fractional quantum Hall phase transition principal component analysis 

分 类 号：O469[理学—凝聚态物理]