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Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise

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arxiv 2212.05732 v3 pith:AWBBFOFL submitted 2022-12-12 cond-mat.mes-hall cond-mat.str-el

Sourav Manna , Ankur Das , Moshe Goldstein , Yuval Gefen This is my paper · ORCID
classification cond-mat.mes-hallcond-mat.str-el
keywords edgephpfbulkelectricalfullmeasurementsnoisenon-abelian
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The nature of the bulk topological order of the 5/2 non-Abelian fractional quantum Hall state and the steady-state of its edge are long-studied questions. The most promising non-Abelian model bulk states are the Pfaffian (Pf), anti-Pffafian (APf), and particle-hole symmetric Pfaffian (PHPf). Here, we propose to employ a set of dc current-current correlations \emph{(electrical shot noise)} in order to distinguish among the Pf, APf, and PHPf candidate states, as well as to determine their edge thermal equilibration regimes: full vs.\ partial. Using other tools, measurements of GaAs platforms have already indicated consistency with the PHPf state. Our protocol, realizable with available experimental tools, is based on fully electrical measurements.

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  1. Topological phase transitions between bosonic and fermionic quantum Hall states near even-denominator filling factors

    cond-mat.mes-hall 2025-08 unverdicted novelty 7.0 of 10

    The transition between Jain and daughter quantum Hall states is mapped to an E8 to trivial transition and predicted to split into at least eight transitions with intermediate topological phases.

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