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

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dc.creatorXiong, Shi-Jie
dc.creatorXiong, Ye
dc.date2007-12-29
dc.date.accessioned2026-07-07T08:51:52Z
dc.date.available2026-07-07T08:51:52Z
dc.descriptionWe investigate geometric phase of fermion states under relative vibrations of two sublattices in graphene by solving time-dependent Schödinger 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.
dc.description9 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0801.0029
dc.identifierhttp://arxiv.org/abs/0801.0029
dc.identifierEurophys. Lett. 80, 60008 (2007)
dc.identifierdoi:10.1209/0295-5075/80/60008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145085
dc.subjectMesoscale and Nanoscale Physics
dc.subjectMaterials Science
dc.titleVibration Induced Non-adiabatic Geometric Phase and Energy Uncertainty of Fermions in Graphene
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