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The zero-temperature phase diagram of a binary mixture of bosonic andfermionic atoms in an one-dimensional optical lattice is studied in theframework of the Bose-Fermi-Hubbard model. By exact numerical solution of theassociated eigenvalue problems, ground state observables and the response to anexternal phase twist are evaluated. The stiffnesses under phase variationsprovide measures for the boson superfluid fraction and the fermionic Drudeweight. Several distinct quantum phases are identified as function of thestrength of the repulsive boson-boson and the boson-fermion interaction.Besides the bosonic Mott-insulator phase, two other insulating phases arefound, where both the bosonic superfluid fraction and the fermionic Drudeweight vanish simultaneously. One of these double-insulator phases exhibits acrystalline diagonal long-range order, while the other is characterized byspatial separation of the two species.Comment: 4 pages, 3 figures, using REVTEX

Quantum phases of atomic boson-fermion mixtures in optical lattices