Level spacing statistics for two-dimensional massless Dirac billiards

Liang Huang, Hong Ya Xu, Ying-Cheng Lai, Celso Grebogi

Research output: Contribution to journalReview articlepeer-review

13 Scopus citations


Classical-quantum correspondence has been an intriguing issue ever since quantum theory was proposed. The searching for signatures of classically nonintegrable dynamics in quantum systems comprises the interesting field of quantum chaos. In this short review, we shall go over recent efforts of extending the understanding of quantum chaos to relativistic cases. We shall focus on the level spacing statistics for two-dimensional massless Dirac billiards, i.e., particles confined in a closed region. We shall discuss the works for both the particle described by the massless Dirac equation (or Weyl equation) and the quasiparticle from graphene. Although the equations are the same, the boundary conditions are typically different, rendering distinct level spacing statistics.

Original languageEnglish (US)
Article number070507
JournalChinese Physics B
Issue number7
StatePublished - Jul 1 2014


  • Dirac billiards
  • graphene billiards
  • level spacing statistics
  • quantum chaos

ASJC Scopus subject areas

  • General Physics and Astronomy


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