Topological Distillation by Principal Component Analysis in Disordered Fractional Quantum Hall States*

被引:4
|
作者
Jiang, Na [1 ]
Lu, Min [1 ]
机构
[1] Zhejiang Univ, Zhejiang Inst Modern Phys, Hangzhou 310027, Peoples R China
基金
中国国家自然科学基金;
关键词
73; 43; -f; Jn; Cd; Nq; FLUID;
D O I
10.1088/0256-307X/37/11/117302
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the behavior of two-dimensional electron gas in the fractional quantum Hall (FQH) regime in the presence of disorder potential. The principal component analysis is applied to a set of disordered Laughlin ground state model wave function to enable us to distill the model wave function of the pure Laughlin state. With increasing the disorder strength, the ground state wave function is expected to deviate from the Laughlin state and eventually leave the FQH phase. We investigate the phase transition from the Laughlin state to a topologically trivial state by analyzing the overlap between the random sample wave functions and the distilled ground state wave function. It is proposed that the cross point of the principal component amplitude and its counterpart is the critical disorder strength, which marks the collapse of the FQH regime.
引用
收藏
页数:6
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