Abstract
The effects of interactions in a 2D electron system of two degenerate Landau levels with opposite spins and at total filling factor one are studied. Using the Chern-Simons gauge transformation, the system is mapped to composite fermions. The fluctuations of the gauge field induce an effective interaction between fermions which can be attractive in both the particle-particle and the particle-hole channel. As a consequence, a spin-singlet ($s$-wave) ground state of composite fermions can exist with a finite pair-breaking energy gap for particle-particle or particle-hole pairs. The competition between these two possible ground states is discussed. For long-range Coulomb interaction the particle-particle state is favored if the interaction strength is small. With increasing interaction strength there is a crossover towards the particle-hole state. If the interaction is short range, only the particle-particle state is possible.
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