Relativistic Quantum Scars

Liang Huang, Ying-Cheng Lai, David K. Ferry, Stephen M. Goodnick, Richard Akis

Research output: Contribution to journalArticle

55 Citations (Scopus)

Abstract

The concentrations of wave functions about classical periodic orbits, or quantum scars, are a fundamental phenomenon in physics. An open question is whether scarring can occur in relativistic quantum systems. To address this question, we investigate confinements made of graphene whose classical dynamics are chaotic and find unequivocal evidence of relativistic quantum scars. The scarred states can lead to strong conductance fluctuations in the corresponding open quantum dots via the mechanism of resonant transmission.

Original languageEnglish
Article number054101
Number of pages4
JournalPhysical Review Letters
Volume103
Issue number5
Early online date27 Jul 2009
DOIs
Publication statusPublished - 31 Jul 2009

Keywords

  • conductance fluctuations
  • periodic-orbits
  • classical chaos
  • eigenfunctions
  • spectrum
  • systems
  • regime
  • well

Cite this

Huang, L., Lai, Y-C., Ferry, D. K., Goodnick, S. M., & Akis, R. (2009). Relativistic Quantum Scars. Physical Review Letters, 103(5), [054101]. https://doi.org/10.1103/PhysRevLett.103.054101