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Bulletin of the American Physical Society

Interacting Mixtures of Bosons and Fermions in Optical Lattices

Sebastian Will, Thorsten Best, Simon G. Braun, Ulrich Schneider, Lucia Hackerm uller, Immanuel Bloch

Published Mar 17, 2009• 0 citations
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We investigate the quantum anomalous Hall effect in a mixture of ultracold neutral bosons and fermions held on a hexagonal optical lattice. In the strong atom-atom interaction limit, composite fermions composed of one fermion with bosons or bosonic holes in the mixture are formed. Such composite fermions have already been generated successfully in experiment [Nat. Phys. 7, 642 (2011)]. Here we predict that this kind of composite fermion may provide a realization of the quantum anomalous Hall effect by tuning the atom-atom interaction or the filling of the bosons in the mixture. We also discuss the corresponding experimental signatures of the quantum anomalous Hall effect in the Bose-Fermi mixture on hexagonal optical lattice.
Abstract In this article, we discuss a method to control the long-range interactions between bosons in a three-dimensional Bose-Fermi mixture with the help of optical lattices on fermions. We find the range and the peaked momentum of the fermion-mediated interactions can be tuned by the optical lattice depth and the fermion density. If the fermion density is close to half-filling, roton excitations can be generated with weak Bose-Fermi interactions. Further, if the fermions are not exact at half-filling, multi-roton structure may emerge, implying competing density orders. Therefore, tuning the lattice depth and the fermion density in a Bose-Fermi mixture serves as an effective way to control the interaction range and resonant momentum between bosons .