{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"32b6ad242dd1ca4bf55fa2a47d11cbb3ac157a92bf633df8ebe9bcaa618bd8a0","created":"2026-10-03T07:18:00Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"362bed46f0b5f00a41261acc96a2e559901c7a6d7c8ff2695f4c63e22629545b","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":"1","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":null,"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 x 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":"7f4724a8f5124a8d3b0876fec78a4f3f0f7b467672032acb318713bcededaa82"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"01a91c803876bab1a646f47e1990eeb322bb112c9baa6a014d3534c95eb76361","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"6f1517313be348e6bd5d6e6cf3edf4908c8b59bc5b7f6eff45ba27c432a39844","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"Ew9GxYBLue4BdPHXCAPsKvee75hSr8MyXTrsyQiLRGxCLH7AYs5k47ZN9Caa-V8PK1nbiwuWs5Nxvfc88CZ_Aw"},"schema":"pubphys.envelope/1"},"record_hash":"01a91c803876bab1a646f47e1990eeb322bb112c9baa6a014d3534c95eb76361","leaf_index":1090}