Loss of superfluidity by fermions in the boson Hubbard model on an optical lattice

Details Loss of superfluidity by fermions in the boson Hubbard model on an optical lattice Loss of superfluidity by fermions in the boson Hubbard model on an optical lattice

2008-12-03

arxiv.org/abs/0812.0815v2

Phys. Rev. A 79, 011606(R) (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 1 eps figure, minor changes

Scientific paper

10.1103/PhysRevA.79.011606

The experimentally observed loss of superfluidity by introducing fermions to the boson Hubbard system on an optical lattice is explained. We show that the virtual transitions of the bosons to the higher Bloch bands, coupled with the contact boson-fermion interactions of either sign, result in an effective increase of the boson on-site repulsion. If this renormalization of the on-site potential is dominant over the fermion screening of the boson interactions, the Mott insulating lobes of the Bose-Hubbard phase diagram will be enhanced for either sign of the boson-fermion interactions. We discuss implications for cold atom experiments where the expansion of the Mott lobes by fermions has been conclusively established.

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