Derivation of one-particle semiclassical kinetic theory in the presence of non-Abelian Berry curvature
Derivation of one-particle semiclassical kinetic theory in the presence of non-Abelian Berry curvature
复制标题
非阿贝尔贝里曲率存在下的单粒子半经典动力学理论的推导
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
E. Bettelheim
中科院分区：
文献类型：
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作者：
E. Bettelheim
在量子力学中，经常需要用半经典近似来描述在给定能带内运动的粒子的运动。这种表示导致在半经典运动方程中出现与Berry曲率有关的假想力的类似物。本文的目的是系统地推导出在能带简并且Berry曲率一般为非阿贝尔的情况下反映这些效应的动力学Boltzmann方程。我们使用相空间量子力学的形式来推导结果。
In quantum mechanics it is often required to describe in a semiclassical approximation the motion of particles moving within a given energy band. Such a representation leads to the appearance of an analogues of fictitious forces, associated with the Berry curvature, in the semiclassical equations of motion. The purpose of this paper is to derive systematically the kinetic Boltzmann equations displaying these effects in the case that the band is degenerate, and as such the Berry curvature is generically non-Abelian. We use the formalism of phase-space quantum mechanics to derive the results.