MONTE-CARLO COMPARISON OF QUASIELECTRON WAVE-FUNCTIONS

Variational Monte Carlo calculations of the quasielectron and quasihol e excitation energies in the fractional quantum Hall effect have been carried out at filling fractions nu=1/3, 1/5, and 1/7. For the quasiel ectron both the trial wave function originally proposed by Laughlin an d the composite-fermion wave function proposed by Jain have been used. We find that for long-range Coulomb interactions the results obtained using these two wave functions are essentially the same, though the e nergy gap obtained using the composite-fer;nio quasi-electron is sligh tly smaller, and closer to extrapolated exact-diagonalization results. [S0163-1829(98)02627-7].