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.

中文翻译：

---

石墨烯异质结中电荷传输的数学模型

典型的石墨烯异质结器件可分为两个经典区域，其中传输基本上是扩散的，被“量子活性区域”（例如，局部门控区域）隔开，其中电荷载流子根据量子力学定律散布。在本文中，我们推导了这种器件的数学模型，其中经典区域由漂移扩散方程描述，而量子区则被视为接口，在其中考虑了量子散射过程，施加了合适的传输条件。数值模拟表明与实验数据吻合良好。