Quantum phases of quadrupolar Fermi gases in optical lattices
  We introduce a new platform for quantum simulation of many-body systems based on nonspherical atoms or molecules with zero dipole moment but possessing a significant value of electric quadrupole moment. We consider a quadrupolar Fermi gas trapped in a 2D square optical lattice, and show that the peculiar symmetry and broad tunability of the quadrupole-quadrupole interaction results in a rich phase diagram encompassing unconventional BCS and charge density wave phases, and opens up a perspective to create topological superfluid. Quadrupolar species, such as metastable alkaline-earth atoms and homonuclear molecules, are stable against chemical reactions and collapse and are readily available in experiment at high densities. 
Satyan G. Bhongale, Ludwig Mathey, Erhai Zhao, Susanne F. Yelin, and   Mikhail Lemeshko
cond-mat.quant-gas physics.atom-ph quant-ph