Fractional quantum Hall state atν=14in a wide quantum well

Abstract

We investigate, with the help of Monte Carlo and exact-diagonalization calculations in the spherical geometry, several compressible and incompressible candidate wave functions for the recently observed quantum Hall state at the filling factor $\ensuremath{\nu}=1/4$ in a wide quantum well. The quantum well is modeled as a two-component system by retaining its two lowest subbands. We make a direct connection with the phenomenological effective-bilayer model, which is commonly used in the description of a wide quantum well and we compare our findings with the established results at $\ensuremath{\nu}=1/2$ in the lowest Landau level. At $\ensuremath{\nu}=1/4$, the overlap calculations for the Halperin (5,5,3) and (7,7,1) states, the generalized Haldane-Rezayi state and the Moore-Read Pfaffian, suggest that the incompressible state is likely to be realized in the interplay between the Halperin (5,5,3) state and the Moore-Read Pfaffian. Our numerics show the latter to be very susceptible to changes in the interaction coefficients, thus indicating that the observed state is of multicomponent nature.