{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"14588f05a91c99010eff6ab18da3c1debbc2062f3e439d5e51a206f259e2debd","created":"2026-10-03T07:18:00Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"4250e4e82ae3125d63367113ef770306f434b8f273ad78f3bd16e29da29f2cf8","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"classification","assisted_by":[],"external_id":"cm.hubbard-mott.pseudogap-strong-coupling","kind":"well-posed","literature_status":"partially-resolved","n":"1","parents":[],"plain":"At weak repulsion, computer studies trace the Hubbard model pseudogap to long-range magnetic fluctuations; whether the same holds at the strong repulsion relevant to cuprates is unsettled.","posed_since":"","precise":"In the doped two-dimensional Hubbard model at $U/t \\sim 6 \\text{ to } 8$ and finite $T$, determine whether the antinodal pseudogap in the spectral function $A(k,\\omega)$ arises from antiferromagnetic fluctuations with large correlation length $\\xi(T)$ or from short-range singlet formation of Mott character, and locate the pseudogap endpoint in doping. An answer is a controlled calculation of $A(k,\\omega)$ and $\\xi(T)$ at strong coupling that discriminates the two.","problem_ref":null,"references":"","settled_by":"Diagrammatic Monte Carlo or cluster calculations with controlled convergence at $U/t \\sim 7$ showing whether the pseudogap opening tracks the growth of $\\xi(T)$.","status_note":"Diagrammatic Monte Carlo (2024) established a spin-fluctuation pseudogap at weak to intermediate coupling; cluster methods at stronger coupling point to short-range Mott physics.","title":"Origin of the Hubbard-model pseudogap at cuprate-like coupling strength","topic_ref":"c72f37399f69cded53ebd299920fa33be67ae1baf0e499d87c1962d53668d71d"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"156a48b305eae521da9cbb82fe617c32fd4c4be8ea5cd8b9eeddad3d640de1a5","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"5158ada29923e2deee7f030048a8319df1372b77ec57df3364c238e0a925e331","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"YY9xXDAT1WNYMJfttgSFWX4jb_pnVcQrusKDYLEBHo2FJKduTofDSW0tCiNtA5lfyx205hGMBdus-QQiz-TeAw"},"schema":"pubphys.envelope/1"},"record_hash":"156a48b305eae521da9cbb82fe617c32fd4c4be8ea5cd8b9eeddad3d640de1a5","leaf_index":1025}