{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"9498ee3a30463749fcb906e5e280515e1885aa0196fdbae9f386211f149d9276","created":"2026-10-03T07:17:53Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"6e984cc3b386c93b1e0b9093fb9acf6da46d82d332bfdea080a28f16dc933d42","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"classification","assisted_by":[],"external_id":"amo.dipolar-supersolids.order-in-2d","kind":"well-posed","literature_status":"open","n":"1","parents":[],"plain":"In two dimensions, heat destroys perfect crystal and superfluid order, leaving only slowly decaying versions. How these two partial orders melt, together or one after another, is unknown.","posed_since":"","precise":"Infinite 2D dipolar Bose gas in its supersolid regime at $T > 0$. Crystal and phase order are at most quasi-long-range. Classify the sequence of transitions (Berezinskii-Kosterlitz-Thouless superfluid loss, dislocation-mediated melting, possible hexatic or modulated-superfluid intermediate phases) with their critical behavior. Answer: phase diagram in ($T, a_s/a_{dd}$, density).","problem_ref":null,"references":"","settled_by":"Finite-temperature simulations (for example path-integral Monte Carlo) of the 2D dipolar gas with scaling analysis, confirmed by measured correlation functions.","status_note":"2D supersolid arrays have been made since 2021 (Norcia et al., Nature 2021) and a 2D stripe supersolid in Er was reported in 2025 (arXiv:2512.13280); no measurement or simulation has resolved the finite-T transition sequence.","title":"Finite-temperature phase diagram of a two-dimensional supersolid","topic_ref":"e26dcf605ef7dbe6b3aca8f970b4bd57d399fcb46655381cea8a8ad67644d876"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"687465790e8425d1a9222303ee32c5482992d3b43a6ad54b6f0b9236aa54486c","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"247d8b541c7c805176911d0eb4e183160f0e67817cd2c8eeba2b879e3bc780bd","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"Nf9b1LQF1P6DSiU-Am4Oc3n6ry6MO6SknROEDHT0K9btkGrhiSXPTny54F4rXL2tEAiJB-1Zy2q1RmuIMV2rDQ"},"schema":"pubphys.envelope/1"},"record_hash":"687465790e8425d1a9222303ee32c5482992d3b43a6ad54b6f0b9236aa54486c","leaf_index":398}