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Series of Abelian and non-Abelian states in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>C</mml:mi><mml:mo>></mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math>fractional Chern insulators
We report the observation of a series of Abelian and non-Abelian topological states in fractional Chern insulators (FCIs). The states appear at bosonic filling $\ensuremath{\nu}=k/(C+1)$ ($k,C$ integers) in several lattice models, in fractionally filled bands of Chern numbers $C\ensuremath{\ge}1$ subject to on-site Hubbard interactions. We show strong evidence that the …