Shi-Jie Xiong and Ye Xiong 2007 EPL 80 60008 doi:10.1209/0295-5075/80/60008
Shi-Jie Xiong1 and Ye Xiong2
Show affiliationsWe investigate the geometric phase of fermion states under relative vibrations of two sublattices in graphene by solving the time-dependent Schödinger 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.
81.05.Uw Carbon, diamond, graphite
Surfaces, interfaces and thin films
Issue 6 (December 2007)
Received 18 June 2007, accepted for publication 21 October 2007
Published 13 November 2007
Shi-Jie Xiong and Ye Xiong 2007 EPL 80 60008
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