{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"4e07032b0a953a8a2ba68fc1011c5348980c7c034dc845e63a2ddc96109405d2","created":"2026-10-03T07:18:11Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"dba8b0ce7bbbd7168cda4ca6fac1543152ba4a38911784ae00e16dc61c025de9","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"stat.spin-glass-finite-d.heisenberg-chirality-decoupling","kind":"well-posed","literature_status":"contested","n":"1","parents":[],"plain":"In spin glasses whose atomic magnets can point in any direction, a second quantity, the chirality (the handedness of how neighboring spins twist), can also freeze. The question is whether spins and chiralities freeze at the same temperature or chiralities freeze first.","posed_since":"1992","precise":"For the 3D isotropic Heisenberg spin glass with nearest-neighbor Gaussian couplings, determine whether the chiral-glass transition temperature $T_{\\mathrm{CG}}$ equals the spin-glass transition temperature $T_{\\mathrm{SG}}$ in the thermodynamic limit; if $T_{\\mathrm{CG}} > T_{\\mathrm{SG}}$, give the ratio and the universality class of each transition. Answer: yes or no, with $T_{\\mathrm{CG}}/T_{\\mathrm{SG}}$.","problem_ref":null,"references":"","settled_by":"Equilibrium Monte Carlo on lattices large enough that finite-size crossings of spin and chiral correlation lengths converge to distinct or equal temperatures beyond statistical error.","status_note":"Simulations by the Kawamura group report $T_{\\mathrm{CG}}$ slightly above $T_{\\mathrm{SG}}$ (arXiv:1912.02502, 2019); other groups find a single transition within errors.","title":"Spin-chirality decoupling in the 3D Heisenberg spin glass","topic_ref":"2fabbf2d62cd6cfeaad5bb54ef05b26854ae4b38a41f86b17737f97acef6a87f"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"6dc957576b89963780d504f99c60227eb9415362335e0c8b65cf228cac19da5f","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"1f5964d3c348e812c37710d53581e2a920eb4a48bbb0ab8883ed3ffab249d149","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"_bsETHaYtLN98DDJ6BEdP7gtSwQfz73mmvyDm7YxmRu-D7fs2mEzWms0kCfdm0O_gfh_fTS0waNUPhGkXhY9BA"},"schema":"pubphys.envelope/1"},"record_hash":"6dc957576b89963780d504f99c60227eb9415362335e0c8b65cf228cac19da5f","leaf_index":2111}