Generalizes dynamical 3-winding-number to multi-band Chern insulators, proves equality to Chern number difference, and derives expression via phase-band gapless fermions.
In the end of this section, we also explain that an inappropriate band- flattening may even lead to non-integer-valued 3-winding number
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Loop unitary and phase band topological invariant in generic multi-band Chern insulators
Generalizes dynamical 3-winding-number to multi-band Chern insulators, proves equality to Chern number difference, and derives expression via phase-band gapless fermions.