• 文献标题:   Relativistic quantum level-spacing statistics in chaotic graphene billiards
  • 文献类型:   Article
  • 作  者:   HUANG L, LAI YC, GREBOGI C
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW E
  • ISSN:   1539-3755
  • 通讯作者地址:   Arizona State Univ
  • 被引频次:   31
  • DOI:   10.1103/PhysRevE.81.055203
  • 出版年:   2010

▎ 摘  要

An outstanding problem in quantum nonlinear dynamics concerns about the energy-level statistics in experimentally accessible relativistic quantum systems. We demonstrate, using chaotic graphene confinements where electronic motions are governed by the Dirac equation in the low-energy regime, that the level-spacing statistics are those given by Gaussian orthogonal ensemble (GOE) random matrices. Weak magnetic field can change the level-spacing statistics to those of Gaussian unitary ensemble for electrons in graphene. For sufficiently strong magnetic field, the GOE statistics are restored due to the appearance of Landau levels.