Spontaneous quantum Hall effect in an atomic spinor Bose-Fermi mixture

Abstract

We study a mixture of spin-$1$ bosonic and spin-$1/2$ fermionic cold atoms, e.g., ${}^{87}$Rb and ${}^6$Li, confined in a triangular optical lattice. With fermions at $3/4$ filling, Fermi surface nesting leads to spontaneous formation of various spin textures of bosons in the ground state, such as collinear, coplanar and even non-coplanar spin orders. The phase diagram is mapped out with varying boson tunneling and Bose-Fermi interactions. Most significantly, in one non-coplanar state the mixture is found to exhibit a spontaneous quantum Hall effect in fermions and crystalline superfluidity in bosons, both driven by interaction.

7 pages, 5 figures, updated version, accepted by Phys. Rev. Lett

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Cited by in corpus (8)

• Coherent heteronuclear spin dynamics in an ultracold spin-1 mixture
• Damping of long wavelength collective modes in spinor Bose-Fermi mixtures
• Bosonic Topological Excitations from the Instability of a Quadratic Band Crossing
• Realizing Topological Mott Insulators from the RKKY Interaction
• Polarizing the Medium: Fermion-Mediated Interactions between Bosons
• Quantitative theory of composite fermions in Bose-Fermi mixtures at $\nu =1$
• Chiral Spin Condensation in a One-Dimensional Optical Lattice
• Convective Boson-Fermion pairing model constructed by oscillating one-dimensional optical superlattice