Ground-state energy and quasiparticle gaps in ν=N/(2N+/-1) fractional-quantum-Hall-effect states

Applying the transformation of fermion operators to the fermion quasiparticles introduced by Halperin, Lee, and Read, we estimate the scaling behavior of the ground-state energy and quasiparticle gaps as a function of filling fraction for a ``principal sequence'' of fractional-quantum-Hall-effect ν=N/(2N+/-1) states converging towards the gapless state at half filling. The exponent describing the shape of the cusp δE(ν)~||δν||^η is found to be greater than 1 and to depend nontrivially on the interaction potential. The dependence of quasiparticle gaps agrees with the results of recent measurements by R. R. Du et al.