Abstract

We show the energy band structure of ultracold atomic Bose–Fermi mixtures in optical lattices: two energy bands for bosonic atoms and a single band for fermionic atoms. The energy band structure can determine the superfluid Mott-insulator phase transition. We find the phase diagram of the mixture by means of path integral, and the phase transition depending on the experimental parameters. The possibility of observing these new phases and their transitions in future experiments is discussed.

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