Semiclassical dynamics of electron wave packet states with phase vortices
Semiclassical dynamics of electron wave packet states with phase vortices
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DOI：
10.1103/physrevlett.99.190404
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发表时间：
2007-11-09
影响因子：
8.6
通讯作者：
Nori, Franco
中科院分区：
文献类型：
--
作者：
Bliokh, Konstantin Yu.;Bliokh, Yury P.;Nori, Franco
我们考虑了具有相位涡旋的薛定谔方程的半经典高阶波包解。涡旋线与传播方向一致，波包沿着其主线动量携带明确的轨道角动量(OAM)hl(L为涡旋强度)。在这种电子的OAM态中，概率电流绕着动量旋转。在电场中，这些态就像具有自旋L的无质量粒子一样演化。磁单极子的Berry曲率出现在动量空间中，这导致了自旋-轨道型相互作用和作用于波包的Berry/Magnus横向力。这就带来了OAM霍尔效应。在磁场中，存在塞曼相互作用，这可能导致更复杂的动力学。
We consider semiclassical higher-order wave packet solutions of the Schrodinger equation with phase vortices. The vortex line is aligned with the propagation direction, and the wave packet carries a well-defined orbital angular momentum (OAM) hl (l is the vortex strength) along its main linear momentum. The probability current coils around the momentum in such OAM states of electrons. In an electric field, these states evolve like massless particles with spin l. The magnetic-monopole Berry curvature appears in momentum space, which results in a spin-orbit-type interaction and a Berry/Magnus transverse force acting on the wave packet. This brings about the OAM Hall effect. In a magnetic field, there is a Zeeman interaction, which, can lead to more complicated dynamics.