| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Topological Distillation by Principal Component Analysis in Disordered Fractional Quantum Hall States |
| Na Jiang* and Min Lu |
| Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China |
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| Cite this article: |
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Na Jiang and Min Lu 2020 Chin. Phys. Lett. 37 117302 |
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Abstract 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.
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Received: 02 September 2020
Published: 08 November 2020
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| Fund: Supported by the National Natural Science Foundation of China (Grant No. 11674282), and the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB28000000). |
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