| We report the observation of a new series of Abelian and non-Abelian topological states in frac tional Chern insulators (FCI). The states appear at bosonic filling ν = k/(C + 1) (k, C integers) in several lattice models, in fractionally filled bands of Chern numbers C ≥ 1 subject to on-site Hubbard interactions. We show strong evidence that the k = 1 series is Abelian while the k > 1 series is non-Abelian. The energy spectrum at both groundstate filling and upon the addition of quasiholes shows a low-lying manifold of states whose total degeneracy and counting matches, at the appropriate size, that of the Fractional Quantum Hall (FQH) SU (C) (color) singlet k-clustered states (including Halperin, non-Abelian spin singlet(NASS) states and their generalizations). The groundstate momenta are correctly predicted by the FQH to FCI lattice folding. However, the counting of FCI states also matches that of a spinless FQH series, preventing a clear identification just from the energy spectrum. The entanglement spectrum lends support to the identification of our states as SU (C) color-singlets but offers new anomalies in the counting for C > 1, possibly related to dislocations that call for the development of new counting rules of these topological states. |
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