Abstract
Using Chebyshev polynomials, the tunneling effect of massless Dirac fermions is studied in a multi‐unit graphene superlattice composed of three regions. Matching the wavefunctions and using the transfer matrix method, the transmission probability, the conductance, and Fano factor are explicitly determined. It is shown that extra Dirac points appear at the transverse wave vector ky =0 and incident energy ϵ = mπ, with m integer value. At these points, the transmission probability has transmission gaps, the conductance is minimal and the Fano factor reaches a maximum. Consequently for a potential and with energy range , (m + 1) transmission gaps located at ϵ = mπ are found. The influence of the main parameter of our theory, distance q2, on the transmission is examined.
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