Mathematical modelling of charge transport in graphene heterojunctions
Mesoscale and Nanoscale Physics
2020-07-01 v1
Abstract
A typical graphene heterojunction device can be divided into two classical zones, where the transport is basically diffusive, separated by a "quantum active region" (e.g., a locally gated region), where the charge carriers are scattered according to the laws of quantum mechanics.In this paper we derive a mathematical model of such a device, where the classical regions are described by drift-diffusion equations and the quantum zone is seen as an interface where suitable transmission conditions are imposed that take into account the quantum scattering process. Numerical simulations show good agreement with experimental data.
Keywords
Cite
@article{arxiv.2006.16246,
title = {Mathematical modelling of charge transport in graphene heterojunctions},
author = {Luigi Barletti and Giovanni Nastasi and Claudia Negulescu and Vittorio Romano},
journal= {arXiv preprint arXiv:2006.16246},
year = {2020}
}