{"id":"https://openalex.org/W7214701675","doi":"https://doi.org/10.48550/arxiv.2609.32768","title":"Trimers, pairs and localisation on disordered random graphs","display_name":"Trimers, pairs and localisation on disordered random graphs","publication_year":2026,"publication_date":"2026-09-26","ids":{"openalex":"https://openalex.org/W7214701675","doi":"https://doi.org/10.48550/arxiv.2609.32768"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.32768","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.32768","pdf_url":"https://arxiv.org/pdf/2609.32768","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.32768","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5153472434","display_name":"Alexei Vazquez","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210135818","display_name":"Nodes & Links (United Kingdom)","ror":"https://ror.org/03xj8ec24","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210135818"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Vazquez, Alexei","raw_affiliation_strings":["Nodes & Links Ltd , Salisbury House , Station Road , Cambridge , CB1 2LA , UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nodes & Links Ltd , Salisbury House , Station Road , Cambridge , CB1 2LA , UK","institution_ids":["https://openalex.org/I4210135818"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5153472434"],"corresponding_institution_ids":["https://openalex.org/I4210135818"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.3433000147342682,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.3433000147342682,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.27880001068115234,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.1526000052690506,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/anderson-localization","display_name":"Anderson localization","score":0.8840000033378601},{"id":"https://openalex.org/keywords/anderson-transition","display_name":"Anderson transition","score":0.671999990940094},{"id":"https://openalex.org/keywords/higher-order-networks","display_name":"higher-order networks","score":0.7390000224113464},{"id":"https://openalex.org/keywords/hyperedges","display_name":"hyperedges","score":0.6330000162124634},{"id":"https://openalex.org/keywords/bethe-lattice","display_name":"Bethe lattice","score":0.9449999928474426},{"id":"https://openalex.org/keywords/expander-graphs","display_name":"expander graphs","score":0.9539999961853027},{"id":"https://openalex.org/keywords/fermi-liquid","display_name":"Fermi liquid","score":0.7440000176429749},{"id":"https://openalex.org/keywords/glass-transition","display_name":"glass transition","score":0.7739999890327454},{"id":"https://openalex.org/keywords/cavity-method","display_name":"cavity method","score":0.5889999866485596},{"id":"https://openalex.org/keywords/group-interaction","display_name":"group interaction","score":0.47099998593330383},{"id":"https://openalex.org/keywords/thermodynamic-limit","display_name":"thermodynamic limit","score":0.4729999899864197}],"concepts":[{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.6593999862670898},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.6410999894142151},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.484499990940094},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.47679999470710754},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4404999911785126},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4390000104904175},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.430400013923645},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4083000123500824},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3874000012874603},{"id":"https://openalex.org/C182063899","wikidata":"https://www.wikidata.org/wiki/Q902168","display_name":"Tight binding","level":3,"score":0.36059999465942383},{"id":"https://openalex.org/C2776403692","wikidata":"https://www.wikidata.org/wiki/Q898416","display_name":"Trimer","level":3,"score":0.35350000858306885},{"id":"https://openalex.org/C54021167","wikidata":"https://www.wikidata.org/wiki/Q1103484","display_name":"Thermodynamic limit","level":2,"score":0.35339999198913574},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3483000099658966},{"id":"https://openalex.org/C2781249634","wikidata":"https://www.wikidata.org/wiki/Q794168","display_name":"Bethe lattice","level":3,"score":0.3402000069618225},{"id":"https://openalex.org/C40636707","wikidata":"https://www.wikidata.org/wiki/Q13633683","display_name":"Fermi level","level":3,"score":0.3305000066757202},{"id":"https://openalex.org/C186769553","wikidata":"https://www.wikidata.org/wiki/Q726648","display_name":"Fermi Gamma-ray Space Telescope","level":2,"score":0.32899999618530273},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3255000114440918},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.3237000107765198},{"id":"https://openalex.org/C14103023","wikidata":"https://www.wikidata.org/wiki/Q11681459","display_name":"Pairing","level":3,"score":0.3174999952316284},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.30640000104904175},{"id":"https://openalex.org/C53964469","wikidata":"https://www.wikidata.org/wiki/Q230895","display_name":"Density of states","level":2,"score":0.28600001335144043},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.2858000099658966},{"id":"https://openalex.org/C61048295","wikidata":"https://www.wikidata.org/wiki/Q909022","display_name":"Nucleation","level":2,"score":0.27320000529289246},{"id":"https://openalex.org/C104247578","wikidata":"https://www.wikidata.org/wiki/Q4779368","display_name":"Aperiodic graph","level":2,"score":0.26570001244544983},{"id":"https://openalex.org/C203833618","wikidata":"https://www.wikidata.org/wiki/Q865788","display_name":"Bravais lattice","level":3,"score":0.2540000081062317},{"id":"https://openalex.org/C94715708","wikidata":"https://www.wikidata.org/wiki/Q620057","display_name":"Cooper pair","level":3,"score":0.25130000710487366}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.32768","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.32768","pdf_url":"https://arxiv.org/pdf/2609.32768","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.32768","doi":"https://doi.org/10.48550/arxiv.2609.32768","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.32768","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.32768","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.32768","pdf_url":"https://arxiv.org/pdf/2609.32768","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214701675.pdf","grobid_xml":"https://content.openalex.org/works/W7214701675.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W1932088538","https://openalex.org/W4407129137"],"related_works":["https://openalex.org/W2955878590","https://openalex.org/W7159652422","https://openalex.org/W7147158714","https://openalex.org/W3045108290","https://openalex.org/W7221835102","https://openalex.org/W7090702950","https://openalex.org/W4401458688","https://openalex.org/W4385280891","https://openalex.org/W7100550121","https://openalex.org/W2145583010"],"abstract_inverted_index":{"Higher-order":[0],"networks":[1],"take":[2],"group":[3,13,251],"interactions":[4],"as":[5],"given.":[6],"I":[7],"ask":[8],"what":[9],"happens":[10],"when":[11,62],"a":[12,21,43,48,72,76,111,140,145,151,156,176,180,191,198,204,213,216,223],"interaction":[14,252],"is":[15,42,68,212,238,257],"made":[16,253],"by":[17,75,254],"pairwise":[18,97,255],"dynamics":[19,256],"on":[20,53,71,121,163],"graph,":[22,60],"and":[23,56,106,139,148,167,179,201,206,220,247],"follow":[24],"it":[25,32],"through":[26],"the":[27,54,59,81,85,95,122,129,143,149,159,172,187,207,229,239,244,267],"transition":[28,189,237,242],"that":[29,79,134,269],"decides":[30],"whether":[31],"matters":[33],"at":[34,190,228],"large":[35],"scale,":[36],"Anderson":[37,188],"localisation.":[38],"An":[39],"emergent":[40,160],"hyperedge":[41],"$k$-body":[44],"bound":[45],"state":[46],"of":[47,58,64,193,210,225,260],"Hamiltonian":[49],"whose":[50],"terms":[51],"live":[52],"vertices":[55],"edges":[57],"Borromean":[61],"none":[63],"its":[65],"$(k-1)$-body":[66],"faces":[67],"bound,":[69],"detected":[70],"finite":[73],"graph":[74,137,158],"$k$-fold":[77],"coincidence":[78],"survives":[80],"thermodynamic":[82],"limit":[83],"while":[84],"$(k-1)$-fold":[86],"ones":[87],"vanish.":[88],"Sparse":[89],"random":[90],"graphs":[91],"produce":[92],"one":[93,144,150],"from":[94],"simplest":[96],"dynamics:":[98],"three":[99],"distinguishable":[100],"particles":[101,227],"with":[102,175,243],"on-site":[103],"attraction":[104],"$U$":[105],"hopping":[107,246],"$t$":[108],"bind":[109],"into":[110],"trimer":[112],"before":[113,169],"any":[114],"pair":[115],"binds.":[116],"The":[117,236],"thresholds":[118],"are":[119],"obtained":[120],"Bethe":[123],"lattice,":[124],"in":[125,131],"closed":[126],"form":[127],"for":[128,197,203],"pair,":[130,205],"both":[132],"sectors":[133],"an":[135,258],"expander":[136],"has":[138],"lattice":[141],"lacks,":[142],"condensate":[146],"sees":[147],"Fermi":[152,208],"liquid":[153,209,224],"sees.":[154],"On":[155],"disordered":[157],"hyperedges":[161],"nucleate":[162],"rare":[164],"deep":[165],"sites":[166],"localise":[168],"their":[170],"parts:":[171],"compact":[173],"trimer,":[174],"narrow":[177],"band":[178],"threefold":[181],"sensitivity":[182],"to":[183,234,264],"site":[184],"energies,":[185],"undergoes":[186],"disorder":[192],"$1.6t$,":[194],"against":[195],"$17t$":[196],"single":[199,226],"particle":[200],"$4t$":[202],"trimers":[211],"glass":[214],"above":[215],"line":[217],"between":[218],"$1.5t$":[219],"$1.7t$,":[221],"where":[222],"same":[230],"density":[231],"needs":[232],"$15t$":[233],"$16t$.":[235],"single-particle":[240],"cavity":[241],"composite's":[245],"effective":[248],"disorder.":[249],"A":[250],"order":[259],"magnitude":[261],"more":[262],"fragile":[263],"heterogeneity":[265],"than":[266],"network":[268],"makes":[270],"it.":[271]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-30T00:00:00"}
