• DOI:10.1103/PhysRevB.89.094502
• Corpus ID: 118462044

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

@article{Bukov2013MeanfieldPD,
  title={Mean-field phase diagram of the Bose-Fermi Hubbard model},
  author={Marin Bukov and Lode Pollet},
  journal={Physical Review B},
  year={2013},
  volume={89},
  pages={094502}
}

• M. Bukov, L. Pollet
• Published 27 November 2013
• Physics
• Physical Review B

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 in the presence of a staggered density-induced alternating potential provided by the fermions, and determine the mean-field transition line. In the two-superfluid phase of the mixture we restrict to nearest-neighbor induced interactions between the fermions and consider the extended Hubbard model. We perform a mean-field analysis of the critical temperature for the formation of boson-assisted $s$-, extended $s^-$-, $d$-, and $p$-wave pairs at fermionic half filling. We compare our results with a recent dynamical mean-field study [Anders \emph{et al.} Phys. Rev. Lett. {\bf 109}, 206401].