Transmission characteristics of electrons in graphene incident on cantor-like potential

Taichi Ogawana, Hidetsugu Sakaguchi

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2 Citations (Scopus)


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.

Original languageEnglish
Article number014002
Journaljournal of the physical society of japan
Issue number1
Publication statusPublished - Jan 15 2021

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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