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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In the α-T3 lattice with on-site asymmetry, mean-field theory shows a superconducting gap that grows as a power law with interaction strength at flat-band filling, while the geometric part of the superfluid weight grows linearly and is enhanced by tuning α.
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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.
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Superconductivity and geometric superfluid weight of a tunable flat band system
In the α-T3 lattice with on-site asymmetry, mean-field theory shows a superconducting gap that grows as a power law with interaction strength at flat-band filling, while the geometric part of the superfluid weight grows linearly and is enhanced by tuning α.