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arXiv 2107.04812cond-mat.mes-hall
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微扭曲双层石墨烯的网络模型和四端输运

Network model and four-terminal transport in minimally twisted bilayer graphene

Christophe De Beule, Fernando Dominguez, Patrik Recher

摘要:

我们从对称性的角度出发,构建了层间偏置最小扭曲双层石墨烯中谷霍尔态三角网络的双通道散射模型,并研究了四端结构中的电子输运.在没有前向散射的情况下,一个单一的唯象参数调谐网络之间的三重手征之字形模式和伪朗道水平。此外,手征之字形模式在垂直磁场或面内电场的存在下,在纵向电导中产生鲁棒的Aharonov-Bohm共振。有趣的是,我们发现,当同时施加磁场和面内电场时,不同之字形分支的共振分裂取决于它们相对于面内电场的传播方向。我们进一步证明,虽然霍尔响应消失的手征锯齿状制度,得到一个有限的霍尔响应,而不破坏Aharonov-Bohm共振的纵向响应,通过弱耦合不同的锯齿状分支,这也引起了霍夫施塔特物理在可访问的磁场。

英文摘要:

We construct a two-channel scattering model for the triangular network of valley Hall states in interlayer-biased minimally twisted bilayer graphene from symmetry arguments and investigate electronic transport in a four-terminal setup. In the absence of forward scattering, a single phenomenological parameter tunes the network between a triplet of chiral zigzag modes and pseudo-Landau levels. Moreover, the chiral zigzag modes give rise to robust Aharonov-Bohm resonances in the longitudinal conductance in the presence of a perpendicular magnetic field or an in-plane electric field. Interestingly, we find that when both a magnetic field and an in-plane electric field are applied, the resonances of different zigzag branches split depending on their propagation direction relative to the in-plane electric field. We further demonstrate that while the Hall response vanishes in the chiral zigzag regime, a finite Hall response is obtained without destroying the Aharonov-Bohm resonances in the longitudinal response, by weakly coupling different zigzag branches, which also gives rise to Hofstadter physics at accessible magnetic fields.

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