{"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 state","topic_ref":"ef024a2f66f3667f8a1263272e91fdabf80879850538a70f33d99943574b7c2c"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"d20e6402a4d4b3a827eef49d38095e917972b2f2651748e9b532730c8b500987","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"0d6497c36b9361ef42458e731f7cffd1acf2b3016e4c06596fce9fd7659d4177","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"di6WiSsIaX7a-Zj0oDePMDp2isZsXpvjUhBB9_Pon2_ndVJCvCE3pUWWDmZodmhvF7dQtV-rXRUXwwVWoutZDA"},"schema":"pubphys.envelope/1"},"record_hash":"d20e6402a4d4b3a827eef49d38095e917972b2f2651748e9b532730c8b500987","leaf_index":1115}