磁通量作用下扭曲双层石墨烯中的重入魔角现象
Re-entrant magic-angle phenomena in twisted bilayer graphene in integer magnetic fluxes
摘要：
在这项工作中，我们解决的魔角现象（带平坦度和量子几何输运）在扭曲的双层石墨烯（TBG）受到强磁通量$\pm Φ_0$，$\pm 2 Φ_0$，$\pm 3 Φ_0$.（$Φ_0 = h/e$是每个莫尔单元的通量量子）。在整数通量处恢复了莫尔平移不变性，为此我们使用具有晶格弛豫的精确原子模型计算了TBG能带结构。类似于魔角条件之外的零通量物理，报道的效应随着扭曲而迅速消失。我们的结论是，魔角物理重新出现在高磁场，见证了从朗道能级的平坦电子带的出现，并表现出非平凡的量子几何。根据Peotta-Törmä机制，我们进一步讨论了强磁场（28 T，$^\circ$扭）中平带量子几何对超流质量的可能贡献.
英文摘要：
In this work we address the re-entrance of magic-angle phenomena (band flatness and quantum-geometric transport) in twisted bilayer graphene (TBG) subjected to strong magnetic fluxes $\pm Φ_0$, $\pm 2 Φ_0$, $\pm 3 Φ_0$... ($Φ_0 = h/e$ is the flux quantum per moiré cell). The moiré translation invariance is restored at the integer fluxes, for which we calculate the TBG band structure using accurate atomistic models with lattice relaxations. Similarly to the zero-flux physics outside the magic angle condition, the reported effect breaks down rapidly with the twist. We conclude that the magic-angle physics re-emerges in high magnetic fields, witnessed by the appearance of flat electronic bands distinct from Landau levels, and manifesting non-trivial quantum geometry. We further discuss the possible flat-band quantum geometric contribution to the superfluid weight in strong magnetic fields (28 T at 1.08$^\circ$ twist), according to Peotta-Törmä mechanism.
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