Semiclassical dynamics of neutral and charged composite excitations in insulators introduce a generalized quantum geometric dipole and require careful selection among inequivalent composite Berry curvatures based on spatial center definition.
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Non-uniform Berry curvature in parent Chern bands induces momentum-space vortices in the chiral superconducting gap function, with the parent Chern number constraining vortex count independently of model details.
Excitons between moiré flat Chern bands acquire giant helical dipoles from Berry curvature, with displacement field driving a Frenkel-Wannier transition and formation of quadrupolar biexcitons.
Shift vectors are the intrinsic dipole moments of correlated electronic states, recovering prior shift current expressions as special cases.
Counterflow conductivity in magnetoexciton bands serves as a tunable probe of the quantum geometric dipole carried by interlayer excitons.
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