论文标题
$α-{\ cal t} _3 $ lattice，应变引起的伪磁场
Strain-induced pseudo-magnetic field in $α-{\cal T}_3$ lattice
论文作者
论文摘要
我们研究了不均匀的单轴菌株和三轴应变对$α-{\ cal t} _3 $晶格的影响。伪landau水平（PLL）的分析表达式是基于低能量的汉密尔顿人得出的，并通过紧密结合计算进行了验证。我们发现伪磁场导致状态的振荡密度，第一个PLL是sublattice偏振，仅在三组Sublattices中只有两个分布。对于非均匀的单轴菌株，我们表明PLL由于费米速度的重新归一化而变得分散，并且出现了山谷极化电流。我们的结果将伪磁场的研究推广到$α-{\ cal t} _3 $ lattice，这不仅会加深对机械菌株的有趣效应的理解，还为理论上的基础提供了对应变对$α-{\ cal t} _3 $ lattice的影响的可能实验研究。
We investigate the effects of a nonuniform uniaxial strain and a triaxial strain on the $α-{\cal T}_3$ lattice. The analytical expressions of the pseudo-Landau levels (pLLs) are derived based on low-energy Hamiltonians, and are verified by tight-binding calculations. We find the pseudo-magnetic field leads to the oscillating density of states, and the first pLL is sublattice polarized, which is distributed on only two of the three sets of sublattices. For the nonuniform uniaxial strain, we show that pLLs become dispersive due to the renormalization of the Fermi velocity, and a valley polarized current emerges. Our results generalize the study of pseudo-magnetic field to the $α-{\cal T}_3$ lattice, which will not only deepen the understanding of the intriguing effects of mechanical strains, but also provide theoretical foundation for possible experimental studies of the effects of strain on the $α-{\cal T}_3$ lattice.
