Heat conductance of the quantum Hall bulk

Ron Aharon Melcer, Avigail Gil, Arup Kumar Paul, Priya Tiwari, Vladimir Umansky, Moty Heiblum, Yuval Oreg, Ady Stern, Erez Berg

Research output: Contribution to journalArticlepeer-review


The quantum Hall effect is a prototypical realization of a topological state of matter. It emerges from a subtle interplay between topology, interactions and disorder1–9. The disorder enables the formation of localized states in the bulk that stabilize the quantum Hall states with respect to the magnetic field and carrier density3. Still, the details of the localized states and their contribution to transport remain beyond the reach of most experimental techniques10–31. Here we describe an extensive study of the bulk’s heat conductance. Using a novel ‘multiterminal’ short device (on a scale of 10 µm), we separate the longitudinal thermal conductance, κxxT (owing to the bulk’s contribution), from the topological transverse value κxyT by eliminating the contribution of the edge modes24. When the magnetic field is tuned away from the conductance plateau centre, the localized states in the bulk conduct heat efficiently (κxxT∝ T), whereas the bulk remains electrically insulating. Fractional states in the first excited Landau level, such as the ν= 7 / 3 and ν= 5 / 2 , conduct heat throughout the plateau with a finite κxxT . We propose a theoretical model that identifies the localized states as the cause of the finite heat conductance, agreeing qualitatively with our experimental findings.

Original languageEnglish
Pages (from-to)489-493
Number of pages5
Issue number7995
Early online date3 Jan 2024
StatePublished - 18 Jan 2024

All Science Journal Classification (ASJC) codes

  • General


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