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arXiv 2212.07307cond-mat.mes-hallcond-mat.mtrl-sciphysics.optics
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超出线性近似的界面电子反射的反常空间位移

Anomalous spatial shifts in interface electronic reflection beyond linear approximation

Runze Li, Chaoxi Cui, Xinxing Zhou, Zhiming Yu

摘要:

最近,电子类比的异常空间位移,包括古斯-汉兴和Imbert-Fedorov效应,引起了广泛的兴趣。目前对界面电子反射异常空间位移的研究是基于线性近似的范式,即通过将相关基态的相位和散射振幅展开到入射动量的一阶来确定入射和反射光束的中心位置。然而,在一类正常的情况下,线性近似可以导致发散的空间位移的反射某些入射角,即使相应的反射的可能性是有限的。在这项工作中,我们表明,这种非物理的结果是由在临界参数的传播状态的数量的突然变化,并可以解决通过计算超出线性近似的散射光束的中心位置。此外,我们发现光束宽度对临界角附近的空间位移有重要影响。通过对两个典型模型的Goos-Hänchen位移和Imbert-Fedorov位移的具体计算,证明了我们的观点。这些结果有助于阐明线性近似在研究空间位移异常中的适用范围。

英文摘要:

Recently, the electronic analogy of the anomalous spatial shift, including Goos-Hänchen and Imbert-Fedorov effects, has been attracting widespread interest. The current research on the anomalous spatial shift in interface electronic reflection is based on the paradigm of linear approximation, under which the center position of the incident and reflected beams are obtained by expanding the phases of relevant basis states and scattering amplitudes to the first order of incident momentum. However, in a class of normal cases, the linear approximation can lead to a divergent spatial shift in reflection for certain incident angles even though the corresponding reflection possibility is finite. In this work, we show that such non-physical results are caused by an abrupt change in the number of the propagating states at critical parameters, and can be resolved by calculating the center positions of the scattering beams beyond the linear approximation. Moreover, we find that the beam width has an important influence on the spatial shift near the critical angles. We demonstrate our idea via concrete calculations of Goos-Hänchen and Imbert-Fedorov shift on two representative models. These results are beneficial for clarifying the scope of application of the linear approximation in the study of anomalous spatial shifts.

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