Abstract
We numerically compute the guiding center static structure factor S( k) of various fractional quantum Hall (FQH) states to O((kℓ)⁶) where k is the wavenumber and ℓ is the magnetic length. Employing density matrix renormalization group on an infinite cylinder of circumference L_y, we study the two-dimensional limit using L_y/ξ ≫ 1, where ξ is the correlation length. The main findings of our work are: 1) the ground states that deviate away from the ideal conformal block wavefunctions, do not saturate the Haldane bound, and 2) the coefficient of O((kℓ)⁶) term appears to be bounded above by a value predicted by field theories proposed in the literature. The first finding implies that the graviton mode is not maximally chiral for experimentally relevant FQH states.