# 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…

## 3 Citations

Quantum Transmission Conditions for Diffusive Transport in Graphene with Steep Potentials

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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…

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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…

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