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A transport study of two-dimensional (2D) holes confined to wide GaAs quantumwells provides a glimpse of a subtle competition between different many-bodyphases at Landau level filling $\nu=3/2$ in tilted magnetic fields. At largetilt angles ($\theta$), an anisotropic, stripe (or nematic) phase replaces theisotropic compressible Fermi sea at $\nu=3/2$ if the quantum well has asymmetric charge distribution. When the charge distribution is made asymmetric,instead of the stripe phase, an even-denominator fractional quantum stateappears at $\nu=3/2$ in a range of large $\theta$, and reverts back to acompressible state at even higher $\theta$. We attribute this remarkableevolution to the significant mixing of the excited and ground-state Landaulevels of 2D hole systems in tilted fields.

Morphing of 2D Hole Systems at $\nu=3/2$ in Parallel Magnetic Fields: Compressible, Stripe, and Fractional Quantum Hall Phases