{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"f9b6dec5ac3456827028cda56ecff942b062f572a519a3411b9abab80d46e6fc","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b","d20e6402a4d4b3a827eef49d38095e917972b2f2651748e9b532730c8b500987"],"salt":"8beeb44d62b8890db921fd196a49897d329502c8164b91fb66a90422048bdd43","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"identification","assisted_by":[],"external_id":"cm.non-abelian-quantum-hall.five-halves-order","kind":"well-posed","literature_status":"contested","n":"2","parents":[],"plain":"Several candidate wavefunctions (named Pfaffian, anti-Pfaffian and particle-hole Pfaffian) predict different edge structures for the $5/2$ state, and experiments and computer simulations currently point to different answers.","posed_since":"","precise":"For $\\nu = 5/2$ in high-mobility GaAs quantum wells, determine the topological order. The thermal Hall conductance $\\kappa_{xy} = c \\kappa_0$, $\\kappa_0 = \\pi^2 k_B^2 T/(3h)$, distinguishes Pfaffian ($c = 7/2$), PH-Pfaffian ($c = 5/2$) and anti-Pfaffian ($c = 3/2$); the measured value is $5/2$ (Banerjee et al., 2018), while numerics with Landau-level mixing favour anti-Pfaffian or Pfaffian. An answer is an identification consistent with thermal Hall, upstream neutral modes, tunnelling exponents and numerics.","problem_ref":"d20e6402a4d4b3a827eef49d38095e917972b2f2651748e9b532730c8b500987","references":"","settled_by":"Thermal Hall measurements with controlled edge equilibration, combined with numerics including realistic Landau-level mixing and disorder.","status_note":"Experiments favour PH-Pfaffian (thermal Hall 2018; neutral-mode noise, Dutta et al. 2022; time-domain braiding noise consistent with PH-Pfaffian, arXiv:2608.12897, 2026), while numerics favour anti-Pfaffian or Pfaffian; proposed reconciliations (incomplete edge equilibration, domains, disorder-stabilized PH-Pfaffian) are debated as of 2026.","title":"Which topological order describes the $5/2$ quantum Hall 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