# Supersolidity of cold-atom Bose-Fermi mixtures in optical lattices - Condensed Matter > Quantum Gases

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Abstract: We investigate a cold atomic mixture of spinless bosons and fermions intwo-dimensional optical lattices. In the presence of a nested Fermi surface,the bosons may develop a fascinating supersolid behavior characterized by afinite superfluid density as well as a spatial density wave order. Focusing onthe triangular lattice geometry and combining a general Landau-Ginzburg-Wilsonapproach with microscopically derived mean-field theory, we find an exoticsupersolid phase at a fermionic band-filling of $n f = 3-4$ with a Kagome-typecrystalline order. We also address the case of anisotropic hopping amplitudes,and show that striped supersolid phases emerge on the square and triangularlattices. For weak interactions, the supersolid competes with phase separation.For strong intra- and inter-species interactions, with the total number offermions and bosons corresponding to one particle per site, the bosons form analternating Mott insulator ground state. Finally, for a mixture of$^{87}\text{Rb}^{40}\text{K}$ and $^{23}\text{Na}^6\text{Li}$, we show thatsupersolidity can be observed in the range of accessible temperatures in thesquare lattice geometry.

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

Fuente: https://arxiv.org/