Chin. Phys. Lett.  2019, Vol. 36 Issue (8): 087301    DOI: 10.1088/0256-307X/36/8/087301
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
Quasihole Tunneling in Disordered Fractional Quantum Hall Systems
Min Lu1, Na Jiang1, Xin Wan1,2**
1Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027
2CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190
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Min Lu, Na Jiang, Xin Wan 2019 Chin. Phys. Lett. 36 087301
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Abstract Fractional quantum Hall systems are often described by model wave functions, which are the ground states of pure systems with short-range interaction. A primary example is the Laughlin wave function, which supports Abelian quasiparticles with fractionalized charge. In the presence of disorder, the wave function of the ground state is expected to deviate from the Laughlin form. We study the disorder-driven collapse of the quantum Hall state by analyzing the evolution of the ground state and the single-quasihole state. In particular, we demonstrate that the quasihole tunneling amplitude can signal the fractional quantum Hall phase to insulator transition.
Received: 17 April 2019      Published: 22 July 2019
PACS:  73.43.-f (Quantum Hall effects)  
  73.43.Jn (Tunneling)  
  73.43.Cd (Theory and modeling)  
  73.43.Nq (Quantum phase transitions)  
Fund: Supported by the National Natural Science Foundation of China under Grant No 11674282, the Strategic Priority Research Program of Chinese Academy of Sciences under Grant No XDB28000000, and the National Basic Research Program of China under Grant No 2015CB921101.
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https://cpl.iphy.ac.cn/10.1088/0256-307X/36/8/087301       OR      https://cpl.iphy.ac.cn/Y2019/V36/I8/087301
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Min Lu
Na Jiang
Xin Wan
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