蜂窝网和红宝石网之字形终端和扶手椅终端量子自旋霍尔边态的基本区别
The fundamental differences between Quantum Spin Hall edge-states at zig-zag and armchair terminations of honeycomb and ruby nets
摘要：
结合分析和数值方法，我们调查的拓扑保护的自旋过滤边缘状态的量子自旋霍尔态的蜂窝和红宝石网锯齿形（ZZ）和扶手椅（AC）边缘的色散。我们发现，螺旋边态的费米速度的ZZ边缘的自旋轨道耦合（SOC）的强度线性增加，而AC边缘的费米速度是独立的SOC。此外，边缘状态到体的衰减长度是显着不同的AC和ZZ边缘，显示对SOC的反函数依赖。
英文摘要：
Combining an analytical and numerical approach we investigate the dispersion of the topologically protected spin-filtered edge-states of the Quantum Spin Hall state on honeycomb and ruby nets with zigzag (ZZ) and armchair (AC) edges. We show that the Fermi velocity of the helical edge-states on ZZ edges increases linearly with the strength of the spin-orbit coupling (SOC) whereas for AC edges the Fermi velocity is independent of the SOC. Also the decay length of edge states into the bulk is dramatically different for AC and ZZ edges, displaying an inverse functional dependence on the SOC.
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