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Fractional Chern Insulators

analytical counting rules

We provide a reference implementation of the analytical counting rules for fractional Chern insulators with an arbitrary Chern numbers. We consider only the simplest bosonic case, corresponding to the color-entangled generalizations of Halperin 221 states.

For a given system, the code enumerates all the zero modes of the pseudopotential Hamiltonian and builds the representation of the color-entangled magnetic translation operators over these zero modes. The output is the number of zero modes in each Bloch momentum sector.

For more details, please go to the Github repository. The code is released under the MIT license.