论文标题
扭曲的双层石墨烯系统的重费用表示
Heavy fermion representation for twisted bilayer graphene systems
论文作者
论文摘要
我们为扭曲的双层石墨烯（TBG）系统构建了一个繁重的费米米表示。分析发现了两个局部轨道（每个自旋/山谷），这正是AA堆叠中心附近的连续体汉密尔顿的最大局部零模式。它们具有与[Arxiv：2111.05865V2]中的Wannier功能相似的特性，但在通过扭曲[Arxiv：1810.03103v3]产生的均匀应变场下的Dirac Fermions的Zeroth Pseudo Landau水平（ZLL）也具有明显的解释。 TBG的电子状态可以看作是这些ZLL轨道和其他巡回状态之间的杂交，可以按照正交平面波法的标准程序获得。 TBG的“重费”模型将密切相关的组件与流动组件分开，并为对TBG中奇异物理的全面理解提供了坚实的基础。
We construct a heavy fermion representation for twisted bilayer graphene (TBG) systems. Two local orbitals (per spin/valley) are analytically found, which are exactly the maximally localized zero modes of the continuum Hamiltonian near the AA-stacking center. They have similar properties to the Wannier functions in [arXiv:2111.05865v2], but also have a clear interpretation as the zeroth pseudo Landau levels (ZLL) of Dirac fermions under the uniform strain field created by twisting [arXiv:1810.03103v3]. The electronic states of TBG can be viewed as the hybridization between these ZLL orbitals and other itinerant states which can be obtained following the standard procedure of orthogonalized plane wave method. The "heavy fermion" model for TBG separates the strongly correlated components from the itinerant components and provides a solid base for the comprehensive understanding of the exotic physics in TBG.
