Fractional Mutual Statistics on Integer Quantum Hall Edges

Physical Review Letters
June-Young M LeeH-S Sim

Abstract

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.

References

Jan 31, 1994·Physical Review Letters·C L Kane, M P Fisher
Mar 28, 2003·Nature·Yang JiHadas Shtrikman
Oct 4, 2005·Physical Review Letters·Karyn Le Hur
Mar 5, 2009·Physical Review Letters·Jaeuk U KimH-S Sim
Aug 8, 2009·Physical Review Letters·E BergF von Oppen
Jun 12, 2012·Physical Review Letters·Izhar Neder
May 9, 2013·Nature Communications·S JezouinF Pierre
May 16, 2013·Nature Communications·E BocquillonG Fève
Feb 11, 2014·Nature Nanotechnology·H KamataT Fujisawa
Apr 1, 2016·Nature Communications·Cheolhee HanH-S Sim
May 19, 2018·Physical Review Letters·L Aviad LandauEran Sela
Aug 7, 2019·Physical Review Letters·Byeongmok LeeH-S Sim
Apr 11, 2020·Science·H BartolomeiG Fève
Jul 24, 2020·Physical Review Letters·T K T Nguyen, M N Kiselev

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Citations

Apr 24, 2021·Physical Review Letters·Andrew K MitchellIan Affleck

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