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Absent thermal equilibration on fractional quantum Hall edges over macroscopic scale

Author

Listed:
  • Ron Aharon Melcer

    (Weizmann Institute of Science)

  • Bivas Dutta

    (Weizmann Institute of Science)

  • Christian Spånslätt

    (Chalmers University of Technology
    Karlsruhe Institute of Technology
    Karlsruhe Institute of Technology)

  • Jinhong Park

    (University of Cologne)

  • Alexander D. Mirlin

    (Karlsruhe Institute of Technology
    Karlsruhe Institute of Technology
    Petersburg Nuclear Physics Institute
    L. D. Landau Institute for Theoretical Physics RAS)

  • Vladimir Umansky

    (Weizmann Institute of Science)

Abstract

Two-dimensional topological insulators, and in particular quantum Hall states, are characterized by an insulating bulk and a conducting edge. Fractional states may host both downstream (dictated by the magnetic field) and upstream propagating edge modes, which leads to complex transport behavior. Here, we combine two measurement techniques, local noise thermometry and thermal conductance, to study thermal properties of states with counter-propagating edge modes. We find that, while charge equilibration between counter-propagating edge modes is very fast, the equilibration of heat is extremely inefficient, leading to an almost ballistic heat transport over macroscopic distances. Moreover, we observe an emergent quantization of the heat conductance associated with a strong interaction fixed point of the edge modes. Such understanding of the thermal equilibration on edges with counter-propagating modes is a natural route towards extracting the topological order of the exotic 5/2 state.

Suggested Citation

  • 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.
    • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-28009-0
    DOI: 10.1038/s41467-022-28009-0
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Saurabh Kumar Srivastav & Ravi Kumar & Christian Spånslätt & K. Watanabe & T. Taniguchi & Alexander D. Mirlin & Yuval Gefen & Anindya Das, 2022. "Determination of topological edge quantum numbers of fractional quantum Hall phases by thermal conductance measurements," Nature Communications, Nature, vol. 13(1), pages 1-8, December.

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