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By minimizing the coupled mean-field energy functionals, we investigate theground-state properties of a rotating atomic boson-fermion mixture in atwo-dimensional parabolic trap. At high angular frequencies in themean-field-lowest-Landau-level regime, quantized vortices enter the bosoniccondensate, and a finite number of degenerate fermions form themaximum-density-droplet state. As the boson-fermion coupling constantincreases, the maximum density droplet develops into a lower-density stateassociated with the phase separation, revealing characteristics of aLandau-level structure

Phase Separation of a Fast Rotating Boson-Fermion Mixture in the Lowest-Landau-Level Regime