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Strongly correlated two-dimensional electronic systems subject to aperpendicular magnetic field at lowest Landau level (LLL) filling factors: 1/2,1/4 and 1/6 are believed to be composite fermion (CF) Fermi liquid phases. Eventhough a Bose Laughlin wave function cannot describe these filling factors weinvestigate whether such a wave function provides a lower energy bound to thetrue CF Fermi liquid energies. By using Monte Carlo simulations in diskgeometry we compute the Bose Laughlin energies and compare them tocorresponding results for the spin-polarized LLL CF Fermi liquid state andavalable data from literature.We find the unexpected result that, for fillingfactors 1/4 and 1/6, the Bose Laughlin ground state energy is practicallyidentical to the true CF liquid energy while this is not the case at 1/2 wherethe Bose Laughlin ground state energy is sizeably lower than the energy of theCF Fermi liquid state.

Monte Carlo study of Bose Laughlin wave function for filling factors 1/2, 1/4 and 1/6