Speaker
Description
We used the transfer matrix method to investigate relativistic particles in superperiodic potentials of arbitrary order. We analytically explore the behavior of experimentally realizable massless Dirac electrons encountering rectangular potential barriers with a super-periodic pattern in a monolayer of graphene. In monolayer graphene, the transmission probability, conductance, and Fano factor are evaluated as a function of the number of barriers, the order of superperiodicity, and the angle of incidence. For normal incidence (indicating that the electron is incident perpendicular to the barrier), we observed that, the transmission coefficient equals unity and does not depend on the number of electrostatic barriers for both periodic and super-periodic cases. This behavior confirms the Klein-tunneling effect, which states that the system is completely transparent for normal incidence, even for large barrier widths. We also find that the transmission probability exhibits a series of resonances that depend on the number of barriers and the order of superperiodicity. Further, the conductance converges to its minimum value, while the Fano factor reaches its maximum value of $\frac{1}{3}$ at the Dirac point for superperiodic potentials of any order.
| Field of contribution | Theory |
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