CF exciton trial states accurately capture collective mode dispersions in spinful FQH states on the sphere at all wavelengths, while density-wave states miss high-energy parton modes in singlet cases at fillings like 2/5.
N0 0 2 + N0 1 2 + N0 2 2 +· · ·+ N0 [N0]−1 2# + N0 [N0] 2 = 2N0 N0 ,for evenN 0,(A7) Nspin−config = 2
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Dispersion of collective modes in spinful fractional quantum Hall states on the sphere
CF exciton trial states accurately capture collective mode dispersions in spinful FQH states on the sphere at all wavelengths, while density-wave states miss high-energy parton modes in singlet cases at fillings like 2/5.