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Observation of neutral modes in the fractional quantum Hall regime

Nature volume 466, pages 585590 (29 July 2010) | Download Citation

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.

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Acknowledgements

We thank D. Feldman, Y. Gefen, A. Stern and I. Neder for discussions and E. Alcobi for comments on the manuscript. The work received partial support from the Israeli Science Foundation (ISF), the Minerva Foundation, the German Israeli Foundation (GIF), the German Israeli Project Cooperation (DIP), the European Research Council under the European Community's Seventh Framework Program (FP7/2007-2013)/ERC Grant agreement 227716, and the US-Israel Bi-National Science Foundation. N.O. acknowledges support from the Israeli Ministry of Science and Technology. C.L.K. acknowledges support from the NSF (DMR 0906175).

Author information

Author notes

    • Aveek Bid
    •  & N. Ofek

    These authors contributed equally to this work.

Affiliations

  1. Braun Center for Submicron Research, Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel

    • Aveek Bid
    • , N. Ofek
    • , H. Inoue
    • , M. Heiblum
    • , V. Umansky
    •  & D. Mahalu
  2. Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA

    • C. L. Kane

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Contributions

A.B., N.O., H.I. and M.H. designed the experiment and wrote the paper. A.B., N.O. and H.I. performed the experiment, C.L.K. wrote the paper, V.U. grew the 2DEG and D.H. did the electron beam lithography.

Competing interests

The authors declare no competing financial interests.

Corresponding author

Correspondence to M. Heiblum.

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https://doi.org/10.1038/nature09277

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