二维自旋轨道耦合电子气自旋动力学的随机行走方法
Random walk approach to spin dynamics in a two-dimensional electron gas with spin-orbit coupling
摘要：
我们引入并求解了一个描述锌半导体量子阱中自旋极化波动力学的半经典无规行走模型。我们推导出这些波的色散关系，包括Rashba，线性和立方Dresselhaus自旋轨道相互作用，以及施加平行于自旋极化波矢量的电场的影响。与完全量子力学计算[Kleinert和Bryksin，Phys.Rev.B \textbf{76}，205326（2007）]一致，RW方法预测自旋波在存在在非零波矢量$q_0$处过零的场的情况下获得相速度。此外，我们表明，自旋波衰减率是独立的领域在$q_0$，但增加$(q-q_0)^2$为$q\neq q_0$。这些预测可以通过合适的瞬态自旋光栅实验进行实验测试。
英文摘要：
We introduce and solve a semi-classical random walk (RW) model that describes the dynamics of spin polarization waves in zinc-blende semiconductor quantum wells. We derive the dispersion relations for these waves, including the Rashba, linear and cubic Dresselhaus spin-orbit interactions, as well as the effects of an electric field applied parallel to the spin polarization wavevector. In agreement with fully quantum mechanical calculations [Kleinert and Bryksin, Phys. Rev. B \textbf{76}, 205326 (2007)], the RW approach predicts that spin waves acquire a phase velocity in the presence of the field that crosses zero at a nonzero wavevector, $q_0$. In addition, we show that the spin-wave decay rate is independent of field at $q_0$ but increases as $(q-q_0)^2$ for $q\neq q_0$. These predictions can be tested experimentally by suitable transient spin grating experiments.
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