Short-range ordered correlation effects on the electronic transport of Fibonacci Fermi velocity graphene superlattices

The effects of short-range ordered and disordered correlation on electronic transport in Fibonacci graphene superlattices with modulated Fermi velocity were analyzed. Ordered and disordered correlation is introduced through the Fibonacci sequence, modified using both correlated and random approaches, generating distinct structural configurations with position-dependent variations in Fermi velocity. Charge carriers are modeled as relativistic quantum particles within an effective low-energy Hamiltonian, and transport properties are analyzed using the transfer matrix method and the Landauer-Büttiker formalism. The results show that ordered aperiodic systems with modulated Fermi velocities exhibit different transport regimes depending on structural correlation and the type of seed used. As the Fibonacci generation increases, the system stabilizes due to the rise in double barriers, which directly impacts transport properties. In certain energy ranges, Fibonacci structures even outperform periodic ones, highlighting the role of short-range ordered and disordered correlations.