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Fast and slow edges in bilayer graphene nanoribbons: Tuning the transition from band to Mott insulator

机译:双层石墨烯纳米带的快边缘和慢边缘:调整从能带到Mott绝缘体的过渡

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摘要

We show that gated bilayer graphene zigzag ribbons possess a fast and a slow edge, characterized by edge-state velocities that differ due to non-negligible next-nearest-neighbor hopping elements. By applying bosonization and renormalization group methods, we find that the slow edge can acquire a sizable interaction-induced gap, which is tunable via an external gate voltage V_g. In contrast to the gate-induced gap in the bulk, the interaction-induced gap depends nonmonotonously on the on-site potential V.
机译:我们显示门控双层石墨烯之字形带具有快和慢的边缘,其特征是由于不可忽略的下一近邻跳跃元素而导致的边缘状态速度不同。通过应用玻色化和重归一化组方法,我们发现慢边沿可以获取可观的相互作用感应间隙,该间隙可以通过外部栅极电压V_g进行调整。与整体中的栅极诱导的间隙相反,相互作用引起的间隙非单调地取决于现场电势V。

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