Orbital physics of polar Fermi molecules

Accepted

We study a system of polar fermions in a two-dimensional optical lattice and we show that multi-band Fermi-Hubbard model is necessary to discuss its properties. We take into account both on-site, and long-range interactions between different bands, as well as occupation-dependent inter- and intra-band tunnelings. For strong enough dipolar interactions we predict the appearances of novel phases such as multi-band crystals, smectic metal, and exotic p-wave supersolids.