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We investigate, with the help of Monte-Carlo and exact-diagonalizationcalculations in the spherical geometry, several compressible and incompressiblecandidate wave functions for the recently observed quantum Hall state at thefilling factor $\nu=1/4$ in a wide quantum well. The quantum well is modeled asa two-component system by retaining its two lowest subbands. We make a directconnection with the phenomenological effective-bilayer model, which is commonlyused in the description of a wide quantum well, and we compare our findingswith the established results at $\nu=1/2$ in the lowest Landau level. At$\nu=1/4$, 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 interplaybetween the Halperin (5,5,3) state and the Moore-Read Pfaffian. Our numericsshows the latter to be very susceptible to changes in the interactioncoefficients, thus indicating that the observed state is of multicomponentnature.

Fractional quantum Hall state at \nu=1/4 in a wide quantum well