{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"350e548fa6d3b1a0aeeb8f599a9516b2e3976f0912325ed616b204fda4ed30b3","created":"2026-10-03T07:18:00Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"2eae191c91d784ab7cdf6acbd39b2a01172ef7e119dcc00f920a858c1c817a1b","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":"1","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":null,"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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