O. Ciftja et S. Fantoni, APPLICATION OF FERMI-HYPERNETTED-CHAIN THEORY TO COMPOSITE-FERMION QUANTUM HALL STATES, Physical review. B, Condensed matter, 56(20), 1997, pp. 13290-13295
The Fermi-hypernetted-chain (FHNC) theory and the effective hypernette
d-chain method are applied to study the composite-fermion (CF) states
of the fractional quantum Hall effect. Using this theory we compute, i
n the thermodynamic limit, the correlation energy, radial distribution
function, and static structure factor for all unprojected CF wave fun
ctions. The unprojected excitation Saps for v=1/3,1/5 were obtained by
adopting in the FHNC a scheme previously used to compute nuclear matt
er excitation spectra. The results obtained so far are consistent with
Monte Carlo simulations and small-number exact diagonalizations.