相空间织构多带系统的量子动力学方程
Quantum kinetic equation in phase-space textured multiband systems
摘要：
从密度矩阵运动方程出发，导出了一般双带电子哈密顿量的半经典动力学方程，系统地包含了时空梯度中的二阶量子力学修正.我们发现，除了带投影校正的单粒子运动方程由于相空间的Berry曲率，带间项，我们归因于投影希尔伯特空间的非正交性。作为例子，我们应用我们的动力学方程的电子系统中存在的空间不均匀和动态自旋纹理源于电磁规范位。具体地说，我们考虑了大量的二维狄拉克费米子和三维Weyl费米子的电磁响应，并再现了粒子物理学中称为宇称和Adler-Bell-Jackiw异常的异常电流。
英文摘要：
Starting from the density-matrix equation of motion, we derive a semiclassical kinetic equation for a general two-band electronic Hamiltonian, systematically including quantum-mechanical corrections up to second order in space-time gradients. We find, in addition to band-projected corrections to the single-particle equation of motion due to phase-space Berry curvature, interband terms that we attribute to the nonorthorgonality of the projected Hilbert spaces. As examples, we apply our kinetic equation to electronic systems in the presence of spatially inhomogeneous and dynamical spin textures stemming from electromagnetic gauge potentials. Specifically, we consider the electromagnetic response of massive two-dimensional Dirac fermions and three-dimensional Weyl fermions, and reproduce the anomalous currents known as the parity and the Adler-Bell-Jackiw anomaly in particle physics.
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