Numerical work on ν=1/2 bosonic flat-band models reports a vestigial gapless CDW between FCI and finite-momentum SS on checkerboard lattice and FCI-Solid I-Solid II transitions on honeycomb lattice, both driven by roton-mode softening.
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Vestigial Gapless Boson Density Wave Emerging between $\nu = 1/2$ Fractional Chern Insulator and Finite-Momentum Supersolid
Numerical work on ν=1/2 bosonic flat-band models reports a vestigial gapless CDW between FCI and finite-momentum SS on checkerboard lattice and FCI-Solid I-Solid II transitions on honeycomb lattice, both driven by roton-mode softening.