论文标题
与自旋轨道相互作用的二维电子气体的量子漂移扩散方程
Quantum drift-diffusion equations for a two-dimensional electron gas with spin-orbit interaction
论文作者
论文摘要
量子漂移扩散方程是针对二维电子气体带有RASHBA类型的旋转轨道相互作用的。事实证明，（正式的）推导是通常的数学工具的非标准应用，例如Wigner Transform，Moyal产品扩展和Chapman-Enskog扩展。主要特点是一个事实，即在查普曼 - 恩斯科格（Chapman-Enskog）扩展中的领先术语已经携带了非变化的电流。据我们所知，这是涉及完整自旋载体的量子漂移扩散方程的第一个例子。实际上，先前的模型是量子双极（仅涉及给定轴上的自旋投影），或者是完全自旋但半经典的。
Quantum drift-diffusion equations are derived for a two-dimensional electron gas with spin-orbit interaction of Rashba type. The (formal) derivation turns out to be a non-standard application of the usual mathematical tools, such as Wigner transform, Moyal product expansion and Chapman-Enskog expansion. The main peculiarity consists in the fact that a non-vanishing current is already carried by the leading-order term in the Chapman-Enskog expansion. To our knowledge, this is the first example of quantum drift-diffusion equations involving the full spin vector. Indeed, previous models were either quantum bipolar (involving only the spin projection on a given axis) or full spin but semiclassical.
