Vibration Induced Non-adiabatic Geometric Phase and Energy Uncertainty of Fermions in Graphene
arXiv:0801.0029 · doi:10.1209/0295-5075/80/60008
Abstract
We 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.
9 pages, 5 figures
References in corpus (13)
- Electric Field Effect in Atomically Thin Carbon Films
- Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics
- Weak localisation magnetoresistance and valley symmetry in graphene
- Strong suppression of weak (anti)localization in graphene
- Quantum transport of massless Dirac fermions in graphene
- Disorder Induced Localized States in Graphene
- Non-adiabatic Kohn-anomaly in a doped graphene monolayer
- Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
- Effect of Disorder on Transport in Graphene
- Phase analysis of quantum oscillations in graphite
- Robust Transport Properties in Graphene
- Low energy theory of disordered graphene
- On electron (anti)localization in graphene