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We investigate numerically different phases that can occur at half filling inthe lowest and the first excited Landau levels in wide-well twodimensionalelectron systems exposed to a perpendicular magnetic field. Within atwocomponent model that takes into account only the two lowest electronicsubbands of the quantum well, we derive a phase diagram that compares favorablywith an experimental one by Shabani et al. [Phys. Rev. B 88, 245413 (2013)]. Inaddition to the compressible composite-fermion Fermi liquid in narrow wellswith a substantial subband gap and the incompressible twocomponent (331)Halperin state, we identify in the lowest Landau level a rectangular Wignercrystal occupying the second subband. This crystal may be the origin of theexperimentally observed insulating phase in the limit of wide wells and highelectronic densities. In the second Landau level, the incompressible Pfaffianstate, which occurs in narrow wells and large subband gaps, is also separatedby an intermediate region from a large-well limit in which a similarrectangular Wigner crystal in the excited subband is the ground state, as forthe lowest Landau level. However, the intermediate region is characterized byan incompressible state that consists of two four-flux Pfaffians in each of thecomponents.

Fractional quantum Hall states versus Wigner crystals in wide quantum wells in the half-filled lowest and second Landau levels