{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"2aa73d456269f6a42e3b143862b3bf1303248c0944049cedb95dffff8a76e40f","created":"2026-10-03T07:17:59Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"64bbcbf9388f1c05aa837297b7bdbbe39a207f698b2a54c9381d24203a7a9c81","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":[],"external_id":"cm.flat-band-geometry.linear-tc-scaling","kind":"well-posed","literature_status":"open","n":"1","parents":[],"plain":"For flat bands theory predicts a superconducting temperature proportional to the pairing attraction, much larger than the exponentially small value of ordinary metals when the attraction is weak, and no experiment has tested this scaling directly.","posed_since":"2011","precise":"For an isolated flat band of width $W << U$ ($U$ the effective attraction), mean-field and Berezinskii-Kosterlitz-Thouless theory predict $T_c \\sim U$ times a band-geometric factor, compared with $T_c \\sim W \\exp(-1/(N(0) U))$ in dispersive bands, $N(0)$ the density of states. Determine whether $T_c$ scales linearly with $U$ in a moire flat-band superconductor where the interaction is tuned, for example by gate-screening distance or dielectric environment. An answer is the measured exponent of T_c versus U.","problem_ref":null,"references":"","settled_by":"$T_{c}$ measured versus screening-layer distance or dielectric environment in moire devices with independently estimated $U$ and fixed band structure.","status_note":"","title":"Linear scaling of $T_c$ with attraction in isolated flat bands","topic_ref":"da008840aae42cdef1acabe867ba961afa7eeb44e1e073d87f5196b23679e171"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"0f6f53bee804850e42ae1bef3cd6e630563805426f86098340ea94f854a7a1c8","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"67a6ea76bf46009fda91a3a219ceb387503e91ccbfdfd4bcd72a34283ca233dc","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"Y_J-ZHeGS8AvZh-vYf2Iej5hH7593LgCNQ0GG6LbvTjmsAxnzOouGY74jCxRBa-eW6vl21n087igjZRNtjsFBw"},"schema":"pubphys.envelope/1"},"record_hash":"0f6f53bee804850e42ae1bef3cd6e630563805426f86098340ea94f854a7a1c8","leaf_index":990}