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arXiv 1010.4002cond-mat.mes-hall
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反常切伦科夫自旋轨道声

Anomalous Cherenkov spin-orbit sound

Sergey Smirnov

摘要:

切伦科夫效应是快速带电粒子通过透明介质的电动力学中的众所周知的现象。如果粒子在给定介质中的速度比光快,则介质发出向前的光锥。这个美丽的现象有一个声学对应物,光子的作用由声子发挥,光速的作用由声速发挥。在这种情况下,介质发出向前的声锥。在这里,我们表明,在一个系统的自旋轨道相互作用,除了这个{ \it正常}切伦科夫声音出现了{ \it异常}切伦科夫声音向前和{ \it向后}声音传播。此外,我们还证明了在切伦科夫锥角处,从正常到反常切伦科夫声的跃迁是以{ \it奇异}的方式发生的。因此,这种声学奇点的检测代表了用于测量自旋轨道耦合强度的替代实验工具。

英文摘要:

The Cherenkov effect is a well known phenomenon in the electrodynamics of fast charged particles passing through transparent media. If the particle is faster than the light in a given medium, the medium emits a forward light cone. This beautiful phenomenon has an acoustic counterpart where the role of photons is played by phonons and the role of the speed of light is played by the sound velocity. In this case the medium emits a forward sound cone. Here, we show that in a system with spin-orbit interactions in addition to this {\it normal} Cherenkov sound there appears an {\it anomalous} Cherenkov sound with forward and {\it backward} sound propagation. Furthermore, we demonstrate that the transition from the normal to anomalous Cherenkov sound happens in a {\it singular} way at the Cherenkov cone angle. The detection of this acoustic singularities therefore represents an alternative experimental tool for the measurement of the spin-orbit coupling strength.

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