{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"538c78bebda7b7eb9b905f6a32899d536dc214510213f618756b8a29a5a9612b","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["01a91c803876bab1a646f47e1990eeb322bb112c9baa6a014d3534c95eb76361","ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b"],"salt":"ed3d7415dbbfb4b49dc0298c4f8bcb4fb6abfef6d11c5aedfabba9a91d830219","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"cm.mbl.two-dimensions-random","kind":"well-posed","literature_status":"contested","n":"2","parents":[],"plain":"In two dimensions, rare regions with weak disorder are argued to grow and thermalize their surroundings. Whether that argument holds is not settled.","posed_since":"2017","precise":"For interacting lattice models in $d=2$ with independent random on-site disorder (e.g. hard-core bosons with nearest-neighbour hopping and disorder of width $W$), does any finite $W$ give infinite-time localization of local observables as $L\\to \\infty$? The avalanche argument of De Roeck and Huveneers (2017) predicts no. Answer yes or no.","problem_ref":"01a91c803876bab1a646f47e1990eeb322bb112c9baa6a014d3534c95eb76361","references":"","settled_by":"Experiments or numerics showing whether the apparent localization crossover $W*(L)$ keeps drifting upward with $L$ up to sizes where a thermal region of the predicted critical size is typical.","status_note":"A 2025 optical-lattice study up to $24 \\times 24$ sites reported the random-disorder crossover drifting to higher W with system size, consistent with avalanches (identifier not verified).","title":"Can random disorder localize an interacting system in two dimensions?","topic_ref":null},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"e4d545d03ba69038e61ccfac03124cf297e8f2dec0c25087c304d00d081f9479","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"52250e9eb3c10e174e4403c3f375654f4af1b1d7febd4c92cb931e3eb46b0405","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"UR7cP4JAC6zKpyQi0sFrtntIIIsHxQAirvSihv0qUlwKbWR7j2ZWxzsNttWWVokobtG0XdNC1o04utnwCBFGCA"},"schema":"pubphys.envelope/1"},"record_hash":"e4d545d03ba69038e61ccfac03124cf297e8f2dec0c25087c304d00d081f9479","leaf_index":2938}