论文标题
魔术角式扭曲双层石墨烯中的Kondo晶格模型
Kondo lattice model in magic-angle twisted bilayer graphene
论文作者
论文摘要
我们使用拓扑沉重的费米代表制系统地研究了来自魔角扭曲的双层石墨烯的新兴近代晶格模型。在相称的填充物上,我们演示了一系列对称的强度相关的金属状态,该状态是由$ su(8)$局部矩和离居式费米斯的三角形晶格之间的杂交驱动的。特别是,可以实现(脆弱的)拓扑dirac kondo半学,为$ν= 0 $的对称性相关状态提供了潜在的解释。我们通过构造量子相图,进一步研究了Dirac Kondo半学的稳定性,该量子相图显示了近代杂交与磁相关之间的相互作用。 Kondo杂交的破坏表明,魔角扭曲的双层石墨烯可能正站在三角形晶格上的新型磁性固定阶的固态量子模拟器的边缘。还讨论了实验意义。
We systematically study emergent Kondo lattice models from magic-angle twisted bilayer graphene using the topological heavy fermion representation. At the commensurate fillings, we demonstrate a series of symmetric strongly correlated metallic states driven by the hybridization between a triangular lattice of $SU(8)$ local moments and delocalized fermions. In particular, a (fragile) topological Dirac Kondo semimetal can be realized, providing a potential explanation for the symmetry-preserving correlated state at $ν=0$. We further investigate the stability of the Dirac Kondo semimetal by constructing a quantum phase diagram showing the interplay between Kondo hybridization and magnetic correlation. The destruction of Kondo hybridization suggests that the magic-angle twisted bilayer graphene may be on the verge of a solid-state quantum simulator for novel magnetic orders on a triangular lattice. Experimental implications are also discussed.