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Fractional Chern Insulators in Singular Geometries
- Source :
- Phys. Rev. B 99, 165105 (2019)
- Publication Year :
- 2019
-
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.<br />Comment: 9 pages, 7 figures
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. B 99, 165105 (2019)
- Publication Type :
- Report
- Accession number :
- edsarx.1901.08374
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevB.99.165105