• 文献标题:   Vibration-induced non-adiabatic geometric phase and energy uncertainty of fermions in graphene
  • 文献类型:   Article
  • 作  者:   XIONG SJ, XIONG Y
  • 作者关键词:  
  • 出版物名称:   EPL
  • ISSN:   0295-5075
  • 通讯作者地址:   Nanjing Univ
  • 被引频次:   1
  • DOI:   10.1209/0295-5075/80/60008
  • 出版年:   2007

▎ 摘  要

We investigate the geometric phase of fermion states under relative vibrations of two sublattices in graphene by solving the time-dependent Schodinger equation using the Floquet scheme. In a period of vibration the fermions acquire different geometric phases depending on their momenta. There are two regions in the momentum space: the adiabatic region where the geometric phase can be approximated by the Berry phase and the chaotic region where the geometric phase drastically fluctuates in changing parameters. The energy of fermions due to vibrations shows spikes in the chaotic region. The results suggest a possible dephasing mechanism which may cause classical-like transport properties in graphene. Copyright (c) EPLA, 2007.