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Observation of neutral modes in the fractional quantum Hall regime

Author

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  • Aveek Bid

    (Braun Center for Submicron Research, Weizmann Institute of Science)

  • N. Ofek

    (Braun Center for Submicron Research, Weizmann Institute of Science)

  • H. Inoue

    (Braun Center for Submicron Research, Weizmann Institute of Science)

  • M. Heiblum

    (Braun Center for Submicron Research, Weizmann Institute of Science)

  • C. L. Kane

    (University of Pennsylvania)

  • V. Umansky

    (Braun Center for Submicron Research, Weizmann Institute of Science)

  • D. Mahalu

    (Braun Center for Submicron Research, Weizmann Institute of Science)

Abstract

The quantum Hall effect takes place in a two-dimensional electron gas under a strong magnetic field and involves current flow along the edges of the sample. For some particle–hole conjugate states of the fractional regime (for example, with fillings between 1/2 and 1 of the lowest Landau level), early predictions suggested the presence of counter-propagating edge currents in addition to the expected ones. When this did not agree with the measured conductance, it was suggested that disorder and interactions will lead to counter-propagating modes that carry only energy—the so called neutral modes. In addition, a neutral upstream mode (the Majorana mode) was expected for selected wavefunctions proposed for the even-denominator filling 5/2. Here we report the direct observation of counter-propagating neutral modes for fillings of 2/3, 3/5 and 5/2. The basis of our approach is that, if such modes impinge on a narrow constriction, the neutral quasiparticles will be partly reflected and fragmented into charge carriers, which can be detected through shot noise measurements. We find that the resultant shot noise is proportional to the injected current. Moreover, when we simultaneously inject a charge mode, the presence of the neutral mode was found to significantly affect the Fano factor and the temperature of the backscattered charge mode. In particular, such observations for filling 5/2 may single out the non-Abelian wavefunctions for the state.

Suggested Citation

  • Aveek Bid & N. Ofek & H. Inoue & M. Heiblum & C. L. Kane & V. Umansky & D. Mahalu, 2010. "Observation of neutral modes in the fractional quantum Hall regime," Nature, Nature, vol. 466(7306), pages 585-590, July.
    • Handle: RePEc:nat:nature:v:466:y:2010:i:7306:d:10.1038_nature09277
    DOI: 10.1038/nature09277
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    Cited by:

    1. Ron Aharon Melcer & Bivas Dutta & Christian Spånslätt & Jinhong Park & Alexander D. Mirlin & Vladimir Umansky, 2022. "Absent thermal equilibration on fractional quantum Hall edges over macroscopic scale," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    2. Jiaojie Yan & Yijia Wu & Shuai Yuan & Xiao Liu & L. N. Pfeiffer & K. W. West & Yang Liu & Hailong Fu & X. C. Xie & Xi Lin, 2023. "Anomalous quantized plateaus in two-dimensional electron gas with gate confinement," Nature Communications, Nature, vol. 14(1), pages 1-6, December.

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