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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Tuning reciprocal-lattice Fourier components of density modulations allows arbitrary enhancement of the FCI gap within projected flat-band theory and rescales the full low-energy spectrum to match Landau-level FQHS.
The authors derive an effective Hamiltonian for magnetoroton modes in moiré FQH and FCI systems via single-mode approximation and Monte Carlo three-point density correlations, predicting THz absorption trends and a soft-mode transition to CDW states.
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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.
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How Similar Can Fractional Chern Insulators Be to Fractional Quantum Hall States? Moir\'e-Enhanced Gaps and Excitation-Spectrum Correspondence
Tuning reciprocal-lattice Fourier components of density modulations allows arbitrary enhancement of the FCI gap within projected flat-band theory and rescales the full low-energy spectrum to match Landau-level FQHS.
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Theory of magnetoroton bands in moir\'e materials
The authors derive an effective Hamiltonian for magnetoroton modes in moiré FQH and FCI systems via single-mode approximation and Monte Carlo three-point density correlations, predicting THz absorption trends and a soft-mode transition to CDW states.