Fractional quantum Hall effect at the filling factor ν = 5/2

K.W., Ken; Peterson, Michael R.; Scarola, V. W.; Yang, Kun

doi:10.1016/b978-0-323-90800-9.00135-9

Cited by 4 publications

(1 citation statement)

References 318 publications

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“…The 𝜈 = 5/2 is the only (well-developed) evendenominator state 34 . Its underlying order in the bulk has been the center of intensive experimental and theoretical study in the past two decades 35 . The most decisive identification comes from thermal transport experiments 11,14 , which support a topological order known as Particle-Hole Pfaffian (PH-Pf) 36 .…”

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confidence: 99%

Heat Conductance of the Quantum Hall Bulk

Heiblum

Melcer

Gil

et al. 2023

Preprint

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The Quantum Hall Effect (QHE) is the prototypical realization of a topological state of matter. It emerges from a subtle interplay between topology, interactions, and disorder. 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 density. Still, the details of the localized states and their contribution to transport remain beyond the reach of most experimental techniques. Here, we describe an extensive study of the bulk's heat conductance. Using a novel 'multi-terminal' device, we separate the longitudinal thermal conductance (due to bulk's contribution) κxx T from the two-terminal value κ2T T, by eliminating the contribution of the edge modes. We find that when the field is tuned away from the conductance plateau center, the electronic states of the bulk conduct heat efficiently while the bulk remains electrically insulating. For fragile fractional states, such as the non-Abelian ν=5/2, we observe a finite κxx T throughout the plateau. We identify the localized states as the cause of the finite κxx T and propose a theoretical model which qualitatively explains our findings.

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confidence: 99%