论文标题
合成双层石墨烯系统中的工程量子厅阶段
Engineering Quantum Hall Phases in Synthetic Bilayer Graphene System
论文作者
论文摘要
由量子厅策略中的光学驱动单层石墨烯实现的合成量子霍尔双层（SQHB）为工程量子霍尔阶段提供了一个灵活的平台，如[Phys中所述。莱特牧师。 119，247403]。连贯的驾驶，将两个兰道级融合模仿合成层之间有效的隧道。通过改变驾驶频率和驾驶强度，可以调整隧道强度，有效的Zeeman耦合和两体相互作用矩阵元素。使用无限密度矩阵重新归一化组（IDMRG）技术与精确的对角线化（ED）相结合，我们表明该系统在填充分数$ν= 2/3 $时表现出非亚洲双层fibonacci相。此外，在整数填充$ν= 1 $的情况下，SQHB表现出量子大厅的铁磁词。使用Hartree-Fock理论和精确的对角线化，我们表明量子霍尔铁磁铁的激发是拓扑质地，称为天空。
Synthetic quantum Hall bilayer (SQHB), realized by optically driven monolayer graphene in the quantum Hall regime, provides a flexible platform for engineering quantum Hall phases as discussed in [Phys. Rev. Lett. 119, 247403]. The coherent driving which couples two Landau levels mimicks an effective tunneling between synthetic layers. The tunneling strength, the effective Zeeman coupling, and two-body interaction matrix elements are tunable by varying the driving frequency and the driving strength. Using infinite density matrix renormalization group (iDMRG) techniques combined with exact diagonalization (ED), we show that the system exhibits a non-abelian bilayer Fibonacci phase at filling fraction $ν= 2/3$. Moreover, at integer filling $ν= 1$, the SQHB exhibits quantum Hall ferromagnetism. Using Hartree-Fock theory and exact diagonalization, we show that excitations of the quantum Hall ferromagnet are topological textures known as skyrmions.
