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- W2912357482 abstract "The fractional quantum anomalous Hall (FQAH) states or fractional Chern insulator (FCI) states have been studied on two-dimensional (2D) flat lattices with different boundary conditions. Here, we propose the geometry-dependent FCI/FQAH states that interacting particles are bounded on 2D singular lattices with arbitrary $n$-fold rotational symmetry. Based on the generalized Pauli principle, we construct trial wave functions for the singular-lattice FCI/FQAH states with the aid of an effective projection approach, and compare them with the exact diagonalization results. High wave-function overlaps show that the singular-lattice FCI/FQAH states are certainly related to the geometric factor $beta$. More interestingly, we observe some exotic degeneracy sequences of edge excitations in these singular-lattice FCI/FQAH states, and provide an explanation that two branches of edge excitations mix together." @default.
- W2912357482 created "2019-02-21" @default.
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- W2912357482 date "2019-04-04" @default.
- W2912357482 modified "2023-10-16" @default.
- W2912357482 title "Fractional Chern insulators in singular geometries" @default.
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- W2912357482 doi "https://doi.org/10.1103/physrevb.99.165105" @default.
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