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arXiv · 2605.14216

Engineering Delocalization in Graphene Nanoribbons via Quasiperiodic Edges and Electronic Interactions

Diego B. Fonseca·Anderson L. R. Barbosa·Luiz Felipe C. Pereira
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Abstract

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 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.

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Diego B. Fonseca, Anderson L. R. Barbosa, Luiz Felipe C. Pereira. 2026-05-14. Engineering Delocalization in Graphene Nanoribbons via Quasiperiodic Edges and Electronic Interactions. https://arxiv.org/abs/2605.14216

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