Spin‐orbit interaction in a two‐dimensional electron gas: A SU(2) formulation
Spin‐orbit interaction in a two‐dimensional electron gas: A SU(2) formulation
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DOI：
10.1002/andp.201100253
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发表时间：
2011-10
影响因子：
2.4
通讯作者：
R. Raimondi;P. Schwab;C. Gorini;G. Vignale
中科院分区：
文献类型：
--
作者：
R. Raimondi;P. Schwab;C. Gorini;G. Vignale
自旋轨道相互作用根据其来源分为外在或内在：由于随机杂质（外在）或与能带或器件结构相关的晶体势（内在）。在本文中，我们将展示如何通过使用SU（2）公式，这两个源可以在一个优雅的和统一的方式来描述。因此，我们得到了两种类型的自旋轨道相互作用的相互作用的简单描述，以及当自旋弛豫被忽略时，Rashba二维电子气中直流自旋霍尔电导率消失的物理透明解释，以及当自旋弛豫被允许时，它的恢复。此外，我们得到了一个明确的公式，由电流产生的横向自旋极化，它推广了由埃德尔斯坦，Aronov和Lyanda‐Geller得到的标准公式，包括外部自旋轨道相互作用和自旋弛豫。
Spin‐orbit interaction is usefully classified as extrinsic or intrinsic, depending on its origin: the potential due to random impurities (extrinsic), or the crystalline potential associated with the band or device structure (intrinsic). In this paper we will show how, by using a SU(2) formulation, the two sources may be described in an elegant and unified way. As a result we obtain a simple description of the interplay of the two types of spin‐orbit interaction, and a physically transparent explanation of the vanishing of the d.c. spin Hall conductivity in a Rashba two‐dimensional electron gas when spin relaxation is neglected, as well as its reinstatement when spin relaxation is allowed. Furthermore, we obtain an explicit formula for the transverse spin polarization created by an electric current, which generalizes the standard formula obtained by Edelstein, and Aronov and Lyanda‐Geller by including extrinsic spin‐orbit interaction and spin relaxation.