Hybrid Classical-Quantum Models for Charge Transport in Graphene with Sharp Potentials

@article{Barletti2015HybridCM,
  title={Hybrid Classical-Quantum Models for Charge Transport in Graphene with Sharp Potentials},
  author={Luigi Barletti and Claudia Negulescu},
  journal={Journal of Computational and Theoretical Transport},
  year={2015},
  volume={46},
  pages={159 - 175}
}
ABSTRACT We give a concise account on the derivation of hybrid quantum-classical models for stationary electron transport in graphene, in presence of sharp potential steps or barriers. A quantum region (an asymptotically thin strip around the potential step or barrier) is coupled through the quantum scattering data to a classical region, where electron transport is described in terms of semiclassical kinetic equations. The diffusive limit of the kinetic model is derived by means of the Hilbert… 
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