We study quantum transport in a one-dimensional Hubbard ring with dimerized nearest-neighbor hoppings and a Fibonacci-modulated on-site potential. For a noninteracting case our analysis reveals that at half filling, the charge current along with the Drude weight decreases with increasing on-site potential when intercell hopping dominates over the intracell hopping, while for dominating intracell hopping it shows nonmonotonic behavior with a sharp peak at certain critical modulation strength, indicating enhanced transport. Moving away from half filling gives rise to reentrant features in both quantities at fillings associated with Fibonacci numbers. On the other hand, in spin-imbalanced systems, both spin and charge current show multiple peaks and reentrant behavior, tunable via hopping dimerization and filling. Including the on-site Hubbard interaction preserves the reentrant behavior in the current and, moreover, favors finite transport which is absent in the noninteracting ring. These results reveal rich interplay among Fibonacci-modulated potential, electron fillings, hopping dimerization, and interaction.

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• Low-dimensional models
• Mesoscopics
• Transport phenomena
• Disordered systems