人工双层石墨烯系统中的量子霍尔相工程
Engineering Quantum Hall Phases in Synthetic Bilayer Graphene System
摘要：
在量子霍尔机制中通过光驱动单层石墨烯实现的合成量子霍尔双层（SQHB）提供了用于工程化量子霍尔相的灵活平台，如[Phys.Rev.Lett. 119，247403]。耦合两个朗道能级的相干驱动模拟了合成层之间的有效隧穿。隧穿强度，有效塞曼耦合，和两体相互作用矩阵元素是可调的，通过改变驱动频率和驱动强度。利用无限密度矩阵重整化群（iDMRG）技术结合精确对角化（ED），我们发现该系统在填充分数$ν= 2/3$处呈现非阿贝尔双层Fibonacci相。此外，在整数填充$ν= 1$时，SQHB表现出量子霍尔铁磁性。利用Hartree-Fock理论和精确对角化，我们证明了量子霍尔铁磁体的激发是拓扑结构，称为skyrmions。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
