弯曲周期纳米线中的高陈数态
Higher Chern Number States in Curved Periodic Nanowires
摘要:
由于自旋-轨道相互作用(SOI),自旋和动量自由度之间的耦合表明,后者的强度可以通过控制载流子的运动来修改。在本文中,我们研究如何有效的SOI可以通过限制运动的载流子弯曲的波导,从而在其运动中引入实空间几何曲率调制。SOI中的变化又可以引起系统中的拓扑相变。具体来说,我们研究如何引入周期性的正弦曲线与本征SOC的纳米线可以诱导发病的中间间隙拓扑保护的边缘状态,其特征在于拓扑不变量或陈数。陈数对应于当滑动栅极电势的相位相对于正弦曲线曲率的相位在完整周期内动态变化时将跨纳米线的长度泵送的离散电荷的数量。此外,耦合到一个外部磁化可以被用作一个实验旋钮,通过改变纳米线能带的顺序来修改陈数。磁化可以被调谐以实现每个相位周期的泵浦电荷数量的大的离散跳跃。
英文摘要:
The coupling between the spin and momentum degrees of freedom due to spin-orbit interactions (SOI) suggests that the strength of the latter can be modified by controlling the motion of the charge carriers. In this paper, we investigate how the effective SOI can be modulated by constraining the motion of charge carriers to curved waveguides thereby introducing real-space geometric curvature in their motion. The change in the SOI can in turn induce topological phase transitions in the system. Specifically, we study how the introduction of periodic sinusoidal curvature in nanowires with intrinsic SOC can induce the onset of mid-gap topologically protected edge states, which can be characterized by a topological invariant or Chern number. The Chern number corresponds to the number of discrete charges that would be pumped across the length of the nanowire when the phase of a sliding gate potential relative to that of the sinusoidal curvature is varied adiabatically over a complete period. In addition, coupling to an external magnetization can be utilized as an experimental knob to modify the Chern number by changing the ordering of the nanowire energy bands. The magnetization can be tuned to achieve large discrete jumps in the number of pump charges per phase period.
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