Abnormal electron paths induced by Klein tunneling in graphene quantum point contacts

Rui Yang, Liang Huang, Ying-Cheng Lai, Celso Grebogi

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


We study quantum transport in a general graphene system subject to external potential, a situation that can be expected in all kinds of future graphene-based electronic devices with quantum dots and quantum point contacts. We find that electrons tend to take on propagating paths due to Klein tunneling that have absolutely no counterpart in nonrelativistic quantum systems. Strikingly, such abnormal quantum paths can lead to an extreme type of fractal-like of conductance fluctuations, not seen previously in any quantum transport systems. This phenomenon has profound implications to the development of graphene based devices that require stable electronic properties.

Original languageEnglish
Article number035426
Number of pages5
JournalPhysical Review B Condensed Matter and Materials Physics
Issue number3
Publication statusPublished - 25 Jul 2011


  • fractal conductance fluctuations
  • chaotic scattering
  • ballistic regime
  • transport
  • cavities
  • soft
  • gas


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