论文标题

关于魔术角扭曲双层石墨烯的奴隶旋转理论

Slave-rotor theory on magic-angle twisted bilayer graphene

论文作者

Huang, Shin-Ming, Huang, Yi-Ping, Lee, Ting-Kuo

论文摘要

我们通过使用从单位平均场理论研究了魔角扭曲的双层石墨烯中的相关电子。由于轨道轨道的扩展图,我们研究了具有自旋 - 瓦利四倍变性的两轨簇哈伯德模型,重点是在中立点以下的价频段的一半填充。该理论预测了分数填充物的多个Mott绝缘体阶段,不仅是每个Moir {é}位点的整数电荷,并且证明了远距离电子跳是高度抑制的,因为诱发了多电荷激发。此外,研究了Kekul {é}价键顺序,并发现可以扩展Mott绝缘体阶段以占据有限的掺杂区域。在Mott绝缘体阶段附近,超导圆顶由于旋转 - 瓦利的波动而出现。这项工作为相关系统提供了一种原始的理解和有趣的现象,并且为其新颖的相互作用,该模型可能会产生大量的可能性等待探索。

We investigate the correlated electrons in the magic-angle twisted bilayer graphene by using the slave-rotor mean-field theory. Owing to the extended figure of Wannier orbitals, we study the two-orbital cluster Hubbard model with spin-valley fourfold degeneracy, focusing around half filling of valence bands below the neutrality point. The theory predicts multiple Mott insulator phases at fractional fillings not only for integer charges per moir{é} site, and it demonstrates that long-range electron hopping is highly suppressed because multiple-charge excitations are induced. Furthermore, the Kekul{é} valence bond order is investigated and is found to extend the Mott insulator phases to occupy a finite doping region. Adjacent to Mott insulator phases, superconducting domes emerges by virtue of spin-valley fluctuations. This work has provided a primal understanding and interesting phenomena of the correlated system, and for its novel interaction the model might produce plenty of possibilities waiting to be explored.

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