Absent thermal equilibration on fractional quantum Hall edges over macroscopic scale

Ron Aharon Melcer (), Bivas Dutta, Christian Spånslätt, Jinhong Park, Alexander D. Mirlin and Vladimir Umansky
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Ron Aharon Melcer: Weizmann Institute of Science
Bivas Dutta: Weizmann Institute of Science
Christian Spånslätt: Chalmers University of Technology
Jinhong Park: University of Cologne
Alexander D. Mirlin: Karlsruhe Institute of Technology
Vladimir Umansky: Weizmann Institute of Science

Nature Communications, 2022, vol. 13, issue 1, 1-7

Abstract: 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.

Date: 2022
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DOI: 10.1038/s41467-022-28009-0

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