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arXiv 1904.03083cond-mat.mes-hallphysics.optics
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朗道量子化电子光涡旋吸收的选择定则

Selection Rules for Optical Vortex Absorption by Landau-quantized Electrons

Hirohisa T. Takahashi, Igor Proskurin, Jun-ichiro Kishine

摘要:

光学涡旋光束除了携带自旋角动量$σ$之外,还携带轨道角动量$\ell$。我们证明了朗道量子化的二维电子系统通过修正的选择定则吸收涡旋光束,反映了两种角动量。最低朗道能级电子在电偶极跃迁中吸收正螺旋度$σ=1$和$\ell=0$或负螺旋度$σ=-1$和$\ell=2$的涡旋光束。由于体电流的抵消,感应电流仅沿样品的边缘存在。因此,可以仅通过边缘电流来感应磁化。结果表明,当束的暗环与盘边缘重合时,诱导轨道磁化消失。该方案可以使用光学涡旋光束提供螺旋度相关的吸收。

英文摘要:

An optical vortex beam carries orbital angular momentum $\ell$ in addition to spin angular momentum $σ$. We demonstrate that a Landau-quantized two dimensional electron system absorbs the optical vortex beam through modified selection rules, reflecting two kinds of angular momenta. The lowest Landau level electron absorbs the optical vortex beams with $σ=1$ (positive helicity) and $\ell=0$ or $σ=-1$ (negative helicity) and $\ell=2$ in the electric dipole transition. The induced electric currents survive only along the edge of the sample, due to cancellation of the bulk currents. Thus, the magnetization can be induced by only the edge current. It is shown that the induced orbital magnetization disappears when the dark ring of the beam coincides with the disk edge. This scheme may provide a helicity-dependent absorption using the optical vortex beam.

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