论文标题
部分可观测时空混沌系统的无模型预测
Dirac electron under periodic magnetic field: Platform for fractional Chern insulator and generalized Wigner crystal
论文作者
论文摘要
我们通过将二维狄拉克材料（例如石墨烯和拓扑绝缘子薄膜）进行定期磁场来提出一个用于平坦的Chern带的平台，该材料可以由II型超导体的涡旋晶格产生。作为$ n = 0 $ landau级别的概括，在非均匀磁场下的dirac fermion的平坦带保持在零能量为零，完全没有分散和拓扑保护，而由于磁场变化，其局部密度在空间上进行了调节。在存在短程排斥的情况下，我们发现分数Chern绝缘子在填充因子$ν= 1/m $上出现，其基态是概括性的Laughlin波函数。我们进一步认为，在高度不均匀的磁场下以通量线晶格的形式出现普遍的晶体晶体。
We propose a platform for flat Chern band by subjecting two-dimensional Dirac materials -- such as graphene and topological insulator thin films -- to a periodic magnetic field, which can be created by the vortex lattice of a type-II superconductor. As a generalization of the $n=0$ Landau level, the flat band of Dirac fermion under a nonuniform magnetic field remains at zero energy, exactly dispersionless and topologically protected, while its local density of states is spatially modulated due to the magnetic field variation. In the presence of short-range repulsion, we find fractional Chern insulators emerge at filling factors $ν=1/m$, whose ground states are generalized Laughlin wavefunctions. We further argue that generalized Wigner crystals may emerge at certain commensurate fillings under a highly nonuniform magnetic field in the form of a flux line lattice.
