Vibration Induced Non-adiabatic Geometric Phase and Energy Uncertainty of Fermions in Graphene

Details Vibration Induced Non-adiabatic Geometric Phase and Energy Uncertainty of Fermions in Graphene Vibration Induced Non-adiabatic Geometric Phase and Energy Uncertainty of Fermions in Graphene

2007-12-29

arxiv.org/abs/0801.0029v1

Europhys. Lett. 80, 60008 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 5 figures

Scientific paper

10.1209/0295-5075/80/60008

We investigate geometric phase of fermion states under relative vibrations of two sublattices in graphene by solving time-dependent Sch\"{o}dinger equation using 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.

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