We show that a two-dimensional atomic mixture of bosons and fermions cooled into their quantum degenerate states and subject to an optical lattice develops a supersolid phase characterized by the simultaneous presence of a nontrivial crystalline order and phase order. This transition is in competition with phase separation. We determine the phase diagram of the system and propose an experiment allowing for the observation of the supersolid phase.

arXiv:cond-mat/0304534Physical Review LettersSep 25, 2003191 citations

Bulletin of the American Physical Society

Supersolidity of Cold Atomic Bose-Fermi mixtures in optical lattices

Peter P. Orth, Doron L. Bergman, Karyn Le Hur

Published Mar 19, 2009• 0 citations

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{n}_{f}=3∕4

with a kagome-type crystalline order. We also address the case of anisotropic hopping amplitudes and show that striped supersolid phases emerge on the square and triangular lattices. For weak interactions, the supersolid competes with phase separation. For strong intraspecies and interspecies interactions, with the total number of fermions and bosons corresponding to one particle per site, the bosons form an alternating Mott insulator ground state. Finally, for a mixture of

^{87}\mathrm{Rb}^{40}\mathrm{K}

and

^{23}\mathrm{Na}^{6}\mathrm{Li}

, we show that supersolidity can be observed in the range of accessible temperatures in the square lattice geometry.