@article {1171, title = {d-Wave Superfluidity in Optical Lattices of Ultracold Polar Molecules}, journal = {Physical Review A}, volume = {84}, year = {2011}, month = {2011/12/29}, abstract = { Recent work on ultracold polar molecules, governed by a generalization of the t-J Hamiltonian, suggests that molecules may be better suited than atoms for studying d-wave superfluidity due to stronger interactions and larger tunability of the system. We compute the phase diagram for polar molecules in a checkerboard lattice consisting of weakly coupled square plaquettes. In the simplest experimentally realizable case where there is only tunneling and an XX-type spin-spin interaction, we identify the parameter regime where d-wave superfluidity occurs. We also find that the inclusion of a density-density interaction destroys the superfluid phase and that the inclusion of a spin-density or an Ising-type spin-spin interaction can enhance the superfluid phase. We also propose schemes for experimentally realizing the perturbative calculations exhibiting enhanced d-wave superfluidity. }, doi = {10.1103/PhysRevA.84.063639}, url = {http://arxiv.org/abs/1110.5330v2}, author = {Kevin A. Kuns and Ana Maria Rey and Alexey V. Gorshkov} }