{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"cb7401ee48dc6ad61be96a05fc0966111a857fa0d0c0004e3cb370c11b67e93a","created":"2026-10-03T07:18:00Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"fc1978abf4ddf077fdf01fea513ec2264976568694c7eceacc2ee1569a8675c8","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"classification","assisted_by":[],"external_id":"cm.hubbard-mott.tprime-sc","kind":"well-posed","literature_status":"contested","n":"1","parents":[],"plain":"Adding a small diagonal hopping t', as in real cuprates, appears to tilt the balance toward superconductivity when electrons are removed.","posed_since":"","precise":"For the square-lattice $t-t'-U$ Hubbard model with $t'/t \\sim -0.2\\ \\text{to}\\ -0.3$ and $U/t = 8$, determine the ground-state phase diagram versus hole and electron doping in the thermodynamic limit: presence, magnitude and symmetry of the superconducting order parameter and its coexistence with partially filled stripes or Neel order. An answer is a phase diagram with extrapolated order parameters and an estimate of $T_c/t$.","problem_ref":null,"references":"","settled_by":"Thermodynamic-limit extrapolations from DMRG on wide cylinders, AFQMC and tensor networks that agree on the phase boundaries and order-parameter magnitudes.","status_note":"DMRG and AFQMC (2024) found d-wave order coexisting with partially filled stripes on the hole-doped side and with Neel order on the electron-doped side.","title":"Superconductivity in the Hubbard model with next-nearest-neighbor hopping","topic_ref":"c72f37399f69cded53ebd299920fa33be67ae1baf0e499d87c1962d53668d71d"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"2a1f5e43304b7e3904bf4fcf2bff8d839e39966d4db16a5423678d47ceaf84d0","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"311c7c6c2f3c2f30c603b5be31c5cea55fc18823c1c9f2dd0421c0da2aacb64f","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"aIvRhMyFKcOYyjQfg_JDbjQd8jtuWs9IpmFYgoMTTr6m0wFtDjrVZZGhh_oB1rhXDTfTpWALB8_xjbgB8Sv0CA"},"schema":"pubphys.envelope/1"},"record_hash":"2a1f5e43304b7e3904bf4fcf2bff8d839e39966d4db16a5423678d47ceaf84d0","leaf_index":1027}