{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"0d04c4e7041a95ec90f96a3c7c6676bd6166bc4eca1aa265ead833290b3eb320","created":"2026-10-03T07:18:06Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"c6051dcfd0f7df7225a8e985b4b86015a477944aaa4abb2ec872e5e00f147e23","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"proof","assisted_by":[],"external_id":"mathph.fermi-liquids-bcs.kohn-luttinger","kind":"well-posed","literature_status":"open","n":"1","parents":[],"plain":"Kohn and Luttinger argued that even purely repelling electrons pair up and superconduct at very low temperature, because the surrounding electrons screen the repulsion unevenly. This has never been proven.","posed_since":"1965","precise":"Spin-$1/2$ fermions in $R^{3}$ (or on $Z^{2}$ at generic filling) with weak repulsive short-range v. Prove that the ground state, or the Gibbs state below some $T_c > 0$, has off-diagonal long-range order in the pair density matrix in a channel of nonzero angular momentum. Answer: a proof, with $T_c$ exponentially small in $1/\\lambda$.","problem_ref":null,"references":"","settled_by":"A proof of pair off-diagonal long-range order for a purely repulsive model.","status_note":"","title":"Kohn-Luttinger superconductivity from purely repulsive interactions","topic_ref":"092ec16641325783d3e30e41c35811e9c4984811735d26f9a5dda60705ccb883"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"54dd42f78896f3818f6cc03f3489010d8304fda16e9eac6e356683330b634c7b","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"1d2b2649a0e2d53c8c18ed0a29f7e09ac1008b214834285ae015aabb987a985f","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"selQ3o2l1_DS6lZ0ljb9vQSpYEf4XZGoo8Bsf5TDY_Czmy9i883iTgJqgvT8gZWPf6DSIekxF6mSJru0kspYCw"},"schema":"pubphys.envelope/1"},"record_hash":"54dd42f78896f3818f6cc03f3489010d8304fda16e9eac6e356683330b634c7b","leaf_index":1614}