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Single-component fractional quantum Hall states (FQHSs) at even-denominatorfilling factors may host non-Abelian quasiparticles that are considered to bebuilding blocks of topological quantum computers. Such states, however, arerarely observed in the lowest-energy Landau level, namely at filling factors$\nu<1$. Here we report evidence for an even-denominator FQHS at $\nu=1/4$ inultra-high-quality two-dimensional hole systems confined to modulation-dopedGaAs quantum wells. We observe a deep minimum in the longitudinal resistance at$\nu=1/4$, superimposed on a highly insulating background, suggesting a closecompetition between the $\nu=1/4$ FQHS and the magnetic-field-induced, pinnedWigner solid states. Our experimental observations are consistent with the veryrecent theoretical calculations which predict that substantial Landau levelmixing, caused by the large hole effective mass, can induce composite fermionpairing and lead to a non-Abelian FQHS at $\nu=1/4$. Our results demonstratethat Landau level mixing can provide a very potent means for tuning theinteraction between composite fermions and creating new non-Abelian FQHSs.

Fractional Quantum Hall State at Filling Factor $\nu=1/4$ in Ultra-High-Quality GaAs 2D Hole Systems