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Generic Wave-Function Description of Fractional Quantum Anomalous Hall States and Fractional Topological Insulators

Generic Wave-Function Description of Fractional Quantum Anomalous Hall States and Fractional Topological Insulators

We propose a systematical approach to construct generic fractional quantum anomalous Hall states, which are generalizations of the fractional quantum Hall states to lattice models with zero net magnetic field and full lattice translation symmetry. Local and translationally invariant Hamiltonians can also be constructed, for which the proposed states are …