The size of Cooper pairs is given by the trace of their quantum geometric quadrupole moment, with Berry curvature entering via the pair wavefunction phase to impose a geometric lower bound alongside the quantum metric.
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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.
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Quantum Geometric Quadrupole of Cooper Pairs
The size of Cooper pairs is given by the trace of their quantum geometric quadrupole moment, with Berry curvature entering via the pair wavefunction phase to impose a geometric lower bound alongside the quantum metric.
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Chiral superconductors from parent states with non-uniform Berry curvature: Momentum-space vortices, BdG topology, and thermal Hall conductivity
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.