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…
2 Citations
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