{"paper":{"title":"Engineering Delocalization in Graphene Nanoribbons via Quasiperiodic Edges and Electronic Interactions","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"Quasiperiodic Fibonacci edges and weak electron interactions together produce a conductive delocalized regime in graphene nanoribbons.","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Anderson L. R. Barbosa, Diego B. Fonseca, Luiz Felipe C. Pereira","submitted_at":"2026-05-14T00:18:37Z","abstract_excerpt":"We investigate localization effects in zigzag graphene nanoribbons with quasiperiodic Fibonacci-type edge extensions, accounting for electron-electron interactions. We employ a tight-binding model that includes first- and third-nearest-neighbor hoppings, in which electronic interactions are treated within a self-consistent mean-field Hubbard approximation. Charge transport properties are calculated using the Landauer-B\\\"uttiker formalism. Our results reveal that the combination of quasiperiodic geometry and electronic interactions gives rise to nontrivial transport phenomena. Specifically, the"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"the combination of quasiperiodic geometry and electronic interactions gives rise to nontrivial transport phenomena... delocalization emerges from the interplay between geometry and interaction-induced correlations","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The self-consistent mean-field Hubbard approximation remains accurate across the interaction strengths explored and the chosen first- and third-nearest-neighbor hoppings capture all relevant physics of the quasiperiodic edges.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Quasiperiodic Fibonacci edges in zigzag graphene nanoribbons combined with moderate electron interactions induce a conductive regime with transmission oscillations, while non-interacting and strongly interacting cases remain localized.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Quasiperiodic Fibonacci edges and weak electron interactions together produce a conductive delocalized regime in graphene nanoribbons.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"b01c40dcc9b25562bf9136f5870c4012dd45c0a191bbed0ce3a35fd829f5ed1e"},"source":{"id":"2605.14216","kind":"arxiv","version":1},"verdict":{"id":"9b6a615f-e10c-409e-9736-aac4d276953a","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T02:44:35.200751Z","strongest_claim":"the combination of quasiperiodic geometry and electronic interactions gives rise to nontrivial transport phenomena... delocalization emerges from the interplay between geometry and interaction-induced correlations","one_line_summary":"Quasiperiodic Fibonacci edges in zigzag graphene nanoribbons combined with moderate electron interactions induce a conductive regime with transmission oscillations, while non-interacting and strongly interacting cases remain localized.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The self-consistent mean-field Hubbard approximation remains accurate across the interaction strengths explored and the chosen first- and third-nearest-neighbor hoppings capture all relevant physics of the quasiperiodic edges.","pith_extraction_headline":"Quasiperiodic Fibonacci edges and weak electron interactions together produce a conductive delocalized regime in graphene nanoribbons."},"references":{"count":58,"sample":[{"doi":"","year":null,"title":"Initialize the per-site densities with a uniform half- filling seed: ⟨ni⟩(0) = 0.5","work_id":"23d25994-653c-4b6e-84eb-c591d9db6485","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"Build the device Hamiltonian HM F[{⟨ni⟩(k)}] by assigning on-site potentials U ⟨ni⟩(k)","work_id":"92ed8f12-7b9d-4304-aede-2ff2581178ef","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"Compute the LDOS on the energy grid; integrate the LDOS to obtain ⟨ni⟩new","work_id":"15049342-e45b-4acf-9b1c-68d1432b74d8","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"Form the residual r(k) = ⟨ni⟩new − ⟨ni⟩(k) and up- date the density using an Anderson mixing routine [48–50] with history length 5 and damping param- eter α = 0.1","work_id":"a5d7993e-8bf0-46b7-87b3-cbe8932f1a80","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2025,"title":"Repeat steps 2–4 until the relative convergence cri- terion ∥⟨ni⟩(k+1) − ⟨ni⟩(k)∥ ∥⟨ni⟩(k)∥ < 10−6 (8) is met or until a maximum of 25,000 iterations is reached. 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