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arXiv 1801.07192cond-mat.mes-hall
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圆柱线中的外尔费米子

Weyl fermions in cylindrical wires

Mikhail Erementchouk, Pinaki Mazumder

摘要:

Weyl半金属(WSM)的关键特征是在3D材料中存在拓扑保护的Dirac锥。我们考虑限制几何形状的影响,在WSM作为一个模型的圆柱形WSM线的激励频谱。对于全流形的硬边界条件,我们推导出色散方程的一般形式的能量的激发和他们的动量沿导线。我们表明,只有特殊类的边界条件,对应于去耦螺旋,或等价地,钉扎方向的表面上的电子自旋,支持无质量激发。对于一般的边界条件,这些激励获得的质量与金属丝的半径成反比。这表明边界现象可能在WSM基结构中激发的形成中起着至关重要的作用。

英文摘要:

The key feature of Weyl semimetals (WSM) is the presence of topologically protected Dirac cones in a 3D material. We consider the effect of restricting geometry on the spectrum of excitations in WSM using as a model a cylindrical WSM wire. For the full manifold of hard boundary conditions, we derive the general form of the dispersion equation relating the energy of the excitations and their momentum along the wire. We show that only the special class of boundary conditions, corresponding to decoupled helicities or, equivalently, to pinned directions of the electron spin on the surface, support massless excitations. For a general boundary condition, these excitations acquire mass inversely proportional to the radius of the wire. This demonstrates that boundary phenomena may play a crucial role in formation of excitations in WSM based structures.

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