Paraxial spin transport using the Dirac-like paraxial wave equation

近轴扩散场检索。II. 传输强度方程的福克-平克扩展

Paraxial diffusion-field retrieval. II. Fokker-Planck generalization of the transport-of-intensity equation

本文提出了一种基于福克-平克扩展的传输强度方程，用于改进相干流和扩散流的建模，以提升相位和扩散场的检索能力。

磁性 Dirac 方程的非对称输运

Asymmetric transport for magnetic Dirac equations

针对石墨烯类材料在电磁场中的低能界面 Dirac 模型，本文证明界面电导率量子化且对衰减缺陷及小而局域的外场变化稳健，并以谱流给出其显式公式。

拓扑绝缘体狄拉克模型中的非对称输运计算

Asymmetric transport computations in Dirac models of topological insulators

本文提出一种快速算法，通过体积积分方程和谱离散化计算二维拓扑绝缘体界面狄拉克算子的输运性质，验证了非对称输运的量子化及其拓扑保护性，并指出背散射缺失不受拓扑保护。

Homogenization of hydrodynamic transport in Dirac fluids

Large-scale electrical and thermal currents in ordinary metals are well approximated by effective medium theory: global transport properties are governed by the solution to homogenized coupled diffusion equations. In some metals, including the Dirac fluid of nearly charge neutral graphene, microscopic transport is not governed by diffusion, but by a more complicated set of linearized hydrodynamic equations, which form a system of degenerate elliptic equations coupled with the Stokes equation for fluid velocity. In sufficiently inhomogeneous media, these hydrodynamic equations reduce to homogen…

A semiclassical approach to the Dirac equation

We derive a semiclassical time evolution kernel and a trace formula for the Dirac equation. The classical trajectories that enter the expressions are determined by the dynamics of relativistic point particles. We carefully investigate the transport of the spin degrees of freedom along the trajectories which can be understood geometrically as parallel transport in a vector bundle with SU(2) holonomy. Furthermore, we give an interpretation in terms of a classical spin vector that is transported along the trajectories and whose dynamics, dictated by the equation of Thomas precession, gives rise t…