Hybrid classical-quantum models for charge transport in graphene with sharp potentials
Mathematical Physics
2017-01-19 v5 math.MP
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 of 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 Chapman-Enskog method, which requires the introduction of a boundary layer corrector and the discussion of a system of coupled Milne problems.
Cite
@article{arxiv.1512.06616,
title = {Hybrid classical-quantum models for charge transport in graphene with sharp potentials},
author = {Luigi Barletti and Claudia Negulescu},
journal= {arXiv preprint arXiv:1512.06616},
year = {2017}
}
Comments
Withdrawn after detection of a major error in the C-E expansion