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arXiv 1507.01807physics.opticscond-mat.otherhep-th
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Weyl费米子和Maxwell光子的Berry相位和反常速度

Berry phase and anomalous velocity of Weyl fermions and Maxwell photons

Michael Stone

摘要:

我们考虑两个系统的波动方程的波包解决方案的轨迹,改变了“反常速度”效应的贝里曲率。第一个是描述带电无质量费米子回旋运动的矩阵Weyl方程。第二个是圆柱波导中回音壁模式的麦克斯韦方程组。在无质量费米子的情况下,反常速度被磁矩的贡献所掩盖。在回音壁模式中,反常的速度导致圆周光线以每轨道一个波长的速率沿着圆柱体向上爬行,并且可以被识别为连续版本的Imbert-Federov效应。

英文摘要:

We consider two systems of wave equations whose wave-packet solutions have trajectories that are altered by the "anomalous velocity" effect of a Berry curvature. The first is the matrix Weyl equation describing cyclotron motion of a charged massless fermion. The second is Maxwell equations for the whispering-gallery modes of light in a cylindrical waveguide. In the case of the massless fermion, the anomalous velocity is obscured by the contribution from the magnetic moment. In the whispering gallery modes the anomalous velocity causes the circumferential light ray to creep up the cylinder at the rate of one wavelength per orbit, and can be identified as a continuous version of the Imbert-Federov effect.

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