Journal
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 90, Issue 1, Pages -Publisher
PHYSICAL SOC JAPAN
DOI: 10.7566/JPSJ.90.014002
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The research explores the tunneling of Dirac electrons in graphene passing through Cantor-like electrostatic and electromagnetic potentials. The transmission rate can be theoretically expressed by the second kind of Chebyshev polynomial, exhibiting a self-similar structure. Even with the disappearance of Klein tunneling due to the application of a magnetic field, the self-similarity of transmittance is maintained and contributes to the complex behavior of conductance.
We study the tunneling of Dirac electrons in graphene passing through Cantor-like electrostatic and electromagnetic potentials. It is found that transmittance can be expressed theoretically using the Chebyshev polynomial of the second kind. A self-similar structure is observed in the transmittance. When a magnetic field is applied, the Klein tunneling disappears; however, the self-similarity of transmittance is maintained. The self-similarity of transmittance contributes to the complex behavior of conductance.
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