Spinful composite fermions in a negative effective field

In this paper, we study fractional quantum Hall composite fermion wave functions at filling fractions nu = 2/3, 3/5, and 4/7. At each of these filling fractions, there are several possible wave functions with different spin polarizations, depending on how many spin-up or spin-down composite fermion Landau levels are occupied. We calculate the energy of the possible composite fermion wave functions and we predict transitions between ground states of different spin polarizations as the ratio of Zeeman energy to Coulomb energy is varied. Previously, several experiments have observed such transitions between states of differing spin polarization and we make direct comparison of our predictions to these experiments. For more detailed comparison between theory and experiment, we also include finite-thickness effects in our calculations. We find reasonable qualitative agreement between the experiments and composite fermion theory. Finally, we consider composite fermion states at filling factors nu = 2 + 2/3, 2 + 3/5, and 2 + 4/7. The latter two cases we predict to be spin polarized even at zero Zeeman energy.