# Mean-field phase diagram of the Bose-Fermi Hubbard model

@article{Bukov2014MeanfieldPD, title={Mean-field phase diagram of the Bose-Fermi Hubbard model}, author={Marin Bukov and Lode Pollet}, journal={Physical Review B}, year={2014}, volume={89}, pages={094502} }

We analyze the ground state properties of Bose-Fermi mixtures using a mean-field treatment of the boson-fermion interaction on a simple cubic lattice. In the deep superfluid limit of the bosonic sector and the BCS regime of the fermion sector, we derive BCS-type equations to determine the phase diagram of the system. We find a competition between a charge density wave and a superconducting phase. In the opposite limit, we study the Mott insulator to superfluid transition of the bosonic sector…

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### At half-filling, however, the phase diagram of the BFM is symmetric w.r.t. the hypersurface U bf = 0. A similar situation occurs in the pure Fermi-Hubbard model

- Notice that the phases of the BFM will be different for U bf < 0 14