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A simple, general rule for generating a three-band model with arbitrary Chernnumbers is given. The rule is based on the idea of monopole charge-changingunitary operations and can be realized by two types of simple unitaryoperations on the original Hamiltonian. A pair of monopole charges are requiredto produce desired topological numbers in the three-band model. The set ofrules presented here offers a way to produce lattice models of any desiredChern numbers for three-sublattice situations.

Arbitrary Chern number generation in the three-band model from momentum space