A numerical study of bounds in the correlations of fractional quantum Hall states*

We numerically compute the guiding center static structure factor s(q) of various fractional quantum Hall (FQH) states to O((ql)⁶). Employing density matrix renormalization group on an infinite cylinder of circumference L_y, we study the two-dimensional problem using L_y/l » 1. 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((ql)⁶) term appears to be bounded above by a value predicted by field theories proposed in the literature.