Chiral scars in chaotic Dirac fermion systems

Hongya Xu*, Liang Huang, Ying-Cheng Lai, Celso Grebogi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)


Do relativistic quantum scars in classically chaotic systems possess unique features that are not shared by nonrelativistic quantum scars? We report a class of relativistic quantum scars in massless Dirac fermion systems whose phases return to the original values or acquire a 2 pi change only after circulating twice about some classical unstable periodic orbits. We name such scars chiral scars, the successful identification of which has been facilitated tremendously by our development of an analytic, conformal-mapping-based method to calculate an unprecedentedly large number of eigenstates with high accuracy. Our semiclassical theory indicates that the physical origin of chiral scars can be attributed to a combined effect of chirality intrinsic to massless Dirac fermions and the geometry of the underlying classical orbit. DOI: 10.1103/PhysRevLett.110.064102

Original languageEnglish
Article number064102
Number of pages5
JournalPhysical Review Letters
Issue number6
Publication statusPublished - 5 Feb 2013


  • transport
  • phase-space
  • field
  • gas
  • stadium
  • graphene
  • billiards
  • wave-function
  • periodic-orbits
  • quantum scars


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