We present a theoretical study of the interplay between cyclotron motion and spin splitting of charge carriers in solids. While many of our results apply more generally, we focus especially on discussing the Rashba model describing electrons in the conduction band of asymmetric semiconductor heterostructures. Appropriate semiclassical limits are distinguished that describe various situations of experimental interest. Our analytical fomulae, which take full account of Zeeman splitting, are used to analyse recent magnetic-focusing data. Surprisingly, it turns out that the Rashba effect can dominate the splitting of cyclotron orbits even when the Rashba and Zeeman spin-splitting energies are of the same order. We also find that the origin of spin-dependent cyclotron motion can be traced back to Zitterbewegung-like oscillatory dynamics of charge carriers from spin-split bands. The relation between the two phenomena is discussed, and we estimate the effect of Zitterbewegung-related corrections to the charge carriers' canonical position.

我们从理论上研究了回旋运动与加速器之间的相互作用。 固体中载流子的自旋分裂。虽然我们的许多结果都适用于 更广泛地说，我们特别关注讨论Rashba模型 非对称半导体异质结导带中的电子。 适当的半经典极限被区分出来，它们描述了各种 有实验意义的情况。我们的分析公式，它充分利用了 塞曼分裂的描述被用来分析最近的磁聚焦数据。 令人惊讶的是，事实证明，拉什巴效应可以主导 回旋加速器即使在拉什巴和塞曼自旋分裂能为 同样的顺序。我们还发现，自旋相关回旋运动的起源 可以追溯到类Zitterbewegung的电荷振荡动力学 来自自旋分裂带的载流子。这两种现象之间的关系是 讨论了，我们估计了与Zitterbewegung相关的修正对 载流子的正则位置。