{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.topic/1","content_sha256":"54b5ef887be45dc94284fc64b115ec3c7517321ecb0576fc946835dc5efa0ed8","created":"2026-10-03T07:17:52Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":[],"salt":"ba2006d681f6a83b1994799842d1bd39295794d889ae447b185bec7e0088ad03","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"topic"},"content":{"external_id":"mathph.anderson-delocalization","field":"mathph","n":"1","review_cite":"G. Stolz, An introduction to the mathematics of Anderson localization, Contemporary Mathematics 552, 2011 (arXiv 1104.2317)","review_link":"https://arxiv.org/abs/1104.2317","review_verified":"true","summary":"An electron moving through a crystal with random impurities can be trapped by wave interference (Anderson localization) or can spread through the whole sample. Physicists expect both in 3D at weak disorder, but only the trapping has been proven.","title":"Extended states in random Schrodinger operators","topic_ref":null,"why":"Metallic conduction in disordered solids relies on extended states whose existence has no proof."},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"401a78c75cbf7b8acc9217ce7c5ab1fcd800a8c8cb9b4f7b06d2e6e76f0bedcb","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"6ae617df00f3c0f93a6bf208ade4e180ecfea773a2dc50b93300e31aac1c4c17","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"Ovp97vWAlVyNnNVwQkqdx-jaU-dcNgNELYnVmSMXvjHmlEixySXDzzx0LA6R_PPUjtNDJm1tjPOPzAqCOmRzAg"},"schema":"pubphys.envelope/1"},"record_hash":"401a78c75cbf7b8acc9217ce7c5ab1fcd800a8c8cb9b4f7b06d2e6e76f0bedcb","leaf_index":253}