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Tytuł:
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Fractional Mutual Statistics on Integer Quantum Hall Edges.
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Autorzy:
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Lee JM; Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 34141, Korea.
Han C; Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 34141, Korea.
Sim HS; Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 34141, Korea.
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Źródło:
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Physical review letters [Phys Rev Lett] 2020 Nov 06; Vol. 125 (19), pp. 196802.
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Typ publikacji:
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Journal Article
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Język:
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English
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Imprint Name(s):
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Original Publication: New York : American Physical Society
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Entry Date(s):
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Date Created: 20201120 Latest Revision: 20201123
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Update Code:
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20240105
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DOI:
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10.1103/PhysRevLett.125.196802
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PMID:
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33216602
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Fractional charge and statistics are hallmarks of low-dimensional interacting systems such as fractional quantum Hall (QH) systems. Integer QH systems are regarded as noninteracting, yet they can have fractional charge excitations when they couple to another interacting system or time-dependent voltages. Here, we notice Abelian fractional mutual statistics between such a fractional excitation and an electron, and propose a setup for detection of the statistics in which a fractional excitation is generated at a source and injected to a Mach-Zehnder interferometer (MZI) in the integer QH regime. In a parameter regime, the dominant interference process involves braiding, via double exchange, between an electron excited at an MZI beam splitter and the fractional excitation. The braiding results in the interference phase shift by the phase angle of the mutual statistics. This proposal for directly observing the fractional mutual statistics is within experimental reach.