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.