论文标题
主要约束状态的当前密度
Current Density of Majorana Bound States
论文作者
论文摘要
众所周知，非本地复合物可以用两个Majorana fermions编写。我们利用这一事实来解释与涡流和抗涡流结合的两个Majorana零模式的系统，该模式在与S波超导体接触的拓扑绝缘子的表面上，作为非局部复合物效率。尽管单个零模式的当前密度消失了，但从波数据包开始，由正和负能量复合物组成，我们指定系统中会出现时间依赖性振荡运动。我们还表明，振荡的幅度和频率取决于这两个零模式的相对距离。因此，对这种振荡运动的观察可以被视为Majorana零模式的标志。同样，由于这种振荡运动的频率取决于两个零模式之间的距离，因此可以将其调整以使该频率在观测值的分辨率之内。此外，我们表明预测的振荡电流是让人联想到Zitterbewegung效应。
It is known that a non-local complex fermion can be written in terms of two Majorana fermions. We exploit this fact to explain the system of two Majorana zero modes bound to a vortex and an anti-vortex, on the surface of a topological insulator in contact with an s-wave superconductor, as a non-local complex fermion. Although the current density of a single zero mode vanishes, by starting with a wave packet consisted of the positive and negative energy complex fermions, we specify that a time-dependent oscillatory motion emerges in the system. We also show that the amplitude and frequency of the oscillations depend on the relative distance of those two zero modes. Therefore, the observation of this oscillatory motion can be considered as a signature of the Majorana zero modes. Also, as the frequency of such an oscillatory motion depends on the distance between the two zero modes, it can be adjusted to bring this frequency within the resolution of observations. Furthermore, we indicate that the predicted oscillatory current is the reminiscent of the zitterbewegung effect.
