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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Quantum geometry in flat-band lattices induces a finite-momentum superfluid density fluctuation state in excitonic insulators via a Ginzburg-Landau framework mapping the quantum metric to free energy.
In flat-band superconductors the pair size remains finite and set by the quantum metric while the coherence length diverges in the dilute limit and near insulating regimes.
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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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Quantum Geometry Driven Finite-Momentum Exciton Fluctuations in Flat-Band Systems
Quantum geometry in flat-band lattices induces a finite-momentum superfluid density fluctuation state in excitonic insulators via a Ginzburg-Landau framework mapping the quantum metric to free energy.
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Correlation lengths of flat-band superconductivity from quantum geometry
In flat-band superconductors the pair size remains finite and set by the quantum metric while the coherence length diverges in the dilute limit and near insulating regimes.