Quantum Transmission Conditions for Diffusive Transport in Graphene with Steep Potentials

@article{Barletti2018QuantumTC,
  title={Quantum Transmission Conditions for Diffusive Transport in Graphene with Steep Potentials},
  author={Luigi Barletti and Claudia Negulescu},
  journal={Journal of Statistical Physics},
  year={2018},
  volume={171},
  pages={696-726}
}
We present a formal derivation of a drift-diffusion model for stationary electron transport in graphene, in presence of sharp potential profiles, such as barriers and steps. Assuming the electric potential to have steep variations within a strip of vanishing width on a macroscopic scale, such strip is viewed as a quantum interface that couples the classical regions at its left and right sides. In the two classical regions, where the potential is assumed to be smooth, electron and hole transport… 
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