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arXiv 1202.5798cond-mat.mes-hall
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自旋-霍尔效应理论:量子点中泡利方程的新解析解

Spin-Hall effect theory: new analytical solutions of the Pauli equation in a quantum dot

J. L. Cardoso

摘要:

在这项工作中,我们提出的有效质量泡利方程的解析解,与Rashba和线性Dresselhaus相互作用,电子气运动通过半导体量子点的纵向电场,这是定义沿$x$ -方向。通过分析自旋上、下态的混合和横向零场自旋分裂,研究了Rashba项和Dresselhaus项对第一传播通道和边缘通道自旋霍尔效应的相对影响.当自旋旋转只依赖于$y$坐标时,自旋取向和自旋密度沿此横坐标变化,在这种情况下,我们证明了自旋-霍尔效应仅由退极化电子的Dresselhaus项引起.另一方面,如果自旋旋转依赖于$z$坐标,则自旋-霍尔效应仅由Rashba相互作用引起。

英文摘要:

In this work, we present the analytical solution of the effective mass Pauli equation, with Rashba and linear Dresselhaus interactions, for an electron gas moving through a semiconductor quantum dot under a longitudinal electric field, which is defined along the $x$-direction. We study the relative influence of the Rashba and Dresselhaus terms on the spin-Hall effect for the first propagating and edge channels, by analyzing the mixing between spin-up and -down states and the zero-field spin splitting along the transverse directions. When the spin rotation depends only on the $y$-coordinate, the spin orientation and the spin density vary along this transverse coordinate and, in this case, we show that the spin-Hall effect is only due to the Dresselhaus term, for depolarized electrons. On the other hand, if the spin rotation depends on the $z$-coordinate, the spin-Hall effect is provoked only by the Rashba interaction.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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