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.
(B1)-(B3) that its spin-flip density- wave states have definite spinS=1, i.e., ⃗S2 ¯ρα L,M ΨS=0 0 = 2¯ρα L,M ΨS=0 0 ,(B13) where we have used the factS α ΨS=0 0 =0
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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.