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      Absent thermal equilibration on fractional quantum Hall edges over macroscopic scale

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          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.

          Abstract

          The transport behaviour of counter-propagating edge modes in the hole-conjugate fractional quantum Hall state is not fully understood. Here, by combining local noise thermometry and thermal conductance measurements, the authors show the absence of thermal equilibration on the edge at macroscopic distances.

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          Topological orders and edge excitations in fractional quantum Hall states

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            Hot-electron effects in metals

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              Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect

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                Author and article information

                Contributors
                ron.melcer@weizmann.ac.il
                Journal
                Nat Commun
                Nat Commun
                Nature Communications
                Nature Publishing Group UK (London )
                2041-1723
                19 January 2022
                19 January 2022
                2022
                : 13
                Affiliations
                [1 ]GRID grid.13992.30, ISNI 0000 0004 0604 7563, Braun Center for Submicron Research, Department of Condensed Matter Physics, , Weizmann Institute of Science, ; Rehovot, 761001 Israel
                [2 ]GRID grid.5371.0, ISNI 0000 0001 0775 6028, Department of Microtechnology and Nanoscience, , Chalmers University of Technology, ; S-412 96 Göteborg, Sweden
                [3 ]GRID grid.7892.4, ISNI 0000 0001 0075 5874, Institute for Quantum Materials and Technologies, , Karlsruhe Institute of Technology, ; 76021 Karlsruhe, Germany
                [4 ]GRID grid.7892.4, ISNI 0000 0001 0075 5874, Institut für Theorie der Kondensierten Materie, , Karlsruhe Institute of Technology, ; 76128 Karlsruhe, Germany
                [5 ]GRID grid.6190.e, ISNI 0000 0000 8580 3777, Institute for Theoretical Physics, , University of Cologne, ; Zülpicher Str. 77, 50937 Köln, Germany
                [6 ]GRID grid.430219.d, ISNI 0000 0004 0619 3376, Petersburg Nuclear Physics Institute, ; 188300 St, Petersburg, Russia
                [7 ]GRID grid.436090.8, ISNI 0000 0001 2299 7671, L. D. Landau Institute for Theoretical Physics RAS, ; 119334 Moscow, Russia
                Article
                28009
                10.1038/s41467-022-28009-0
                8770503
                35046393
                84017ae7-9355-4078-9d2a-8102b84c41a7
                © The Author(s) 2022

                Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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                quantum hall, topological matter

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