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Main Authors: Fonseca, Diego B., Barbosa, Anderson L. R., Pereira, Luiz Felipe C.
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.14216
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author Fonseca, Diego B.
Barbosa, Anderson L. R.
Pereira, Luiz Felipe C.
author_facet Fonseca, Diego B.
Barbosa, Anderson L. R.
Pereira, Luiz Felipe C.
contents 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-Büttiker formalism. Our results reveal that the combination of quasiperiodic geometry and electronic interactions gives rise to nontrivial transport phenomena. Specifically, the system exhibits three transport regimes: in the non-interacting case, we observe geometric localization. For weak interactions, the system shows a conductive regime with transmission oscillations, whose multiplicity increases with the Fibonacci generation order. In this regime, delocalization emerges from the interplay between geometry and interaction-induced correlations. Finally, for strong interactions, repulsion dominates, and the system returns to a localized state. Our results demonstrate that quasiperiodic edge engineering, combined with electronic interaction control, offers a promising path to modulate transport in graphene nanoribbons.
format Preprint
id arxiv_https___arxiv_org_abs_2605_14216
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Engineering Delocalization in Graphene Nanoribbons via Quasiperiodic Edges and Electronic Interactions
Fonseca, Diego B.
Barbosa, Anderson L. R.
Pereira, Luiz Felipe C.
Mesoscale and Nanoscale Physics
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-Büttiker formalism. Our results reveal that the combination of quasiperiodic geometry and electronic interactions gives rise to nontrivial transport phenomena. Specifically, the system exhibits three transport regimes: in the non-interacting case, we observe geometric localization. For weak interactions, the system shows a conductive regime with transmission oscillations, whose multiplicity increases with the Fibonacci generation order. In this regime, delocalization emerges from the interplay between geometry and interaction-induced correlations. Finally, for strong interactions, repulsion dominates, and the system returns to a localized state. Our results demonstrate that quasiperiodic edge engineering, combined with electronic interaction control, offers a promising path to modulate transport in graphene nanoribbons.
title Engineering Delocalization in Graphene Nanoribbons via Quasiperiodic Edges and Electronic Interactions
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2605.14216