Introduces Wilson-loop-ideal bands saturating the quantum metric Wilson-loop bound and a general monotonic flow construction applied to moiré models to achieve low-error ideal states for correlated physics.
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The paper introduces vector-field overlaps from quantum geometry to identify maximal mean-field susceptibilities and correlation lengths for orders in flat bands, with examples of hidden antiferromagnetic nesting and FFLO-like states checked via DQMC.
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Wilson-Loop-Ideal Bands and General Idealization
Introduces Wilson-loop-ideal bands saturating the quantum metric Wilson-loop bound and a general monotonic flow construction applied to moiré models to achieve low-error ideal states for correlated physics.
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Identifying Instabilities with Quantum Geometry in Flat Band Systems
The paper introduces vector-field overlaps from quantum geometry to identify maximal mean-field susceptibilities and correlation lengths for orders in flat bands, with examples of hidden antiferromagnetic nesting and FFLO-like states checked via DQMC.