磁场中$α-\mathcal{T}_3$晶格带电子态的电流分布和群速度
Current distribution and group velocities for electronic states on $α-\mathcal{T}_3$ lattice ribbons in a magnetic field
摘要：
研究了在均匀垂直磁场作用下$α-\mathcal{T}_3$晶格带中电子态的群速度和电流分布。使用有效的低能模型，我们分析了所有可能的简单配置的晶格终止锯齿形和扶手椅边界。我们表明，边缘电流取决于锯齿形终端的类型，可以是零或有限的边缘附近。在扶手椅终端的情况下也观察到类似的依赖性，并且与丝带的尺寸有关。沿着边缘流动的非零电流可以被用作传播边缘态形成的特征。此外，我们示出的$α=1$（骰子模型）的情况下和其他值的模型参数$α\neq 1$扶手椅终止带的边缘电流的分布之间的定性差异。
英文摘要：
We study the group velocities of electronic states and distributions of currents in $α-\mathcal{T}_3$ lattice ribbons under a uniform perpendicular magnetic field. Using the effective low-energy model we analyze all possible simple configurations of lattice termination with zigzag and armchair boundaries. We show that the edge current depends on the type of zigzag termination, and can be zero or finite near the edge. Also similar dependence is observed in the case of armchair termination and is related to the size of the ribbon. The nonzero current flowing along the edge can be used a signature of formation of propagating edge states. Also we show the qualitative difference in the distribution of the edge current between the case of $α=1$ (dice model) and other values of model parameter $α\neq 1$ for armchair-terminated ribbons.
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