%0 Journal Article %T Stripe-ordered superfluid and supersolid phases in attractive Hofstadter-Hubbard model %A M. Iskin %J Physics %D 2014 %I arXiv %R 10.1103/PhysRevA.91.011601 %X We use microscopic Bogoliubov-de Gennes formalism to explore the ground-state phase diagram of the single-band attractive Hofstadter-Hubbard model on a square lattice. We show that the interplay between the Hofstadter butterfly and superfluidity breaks spatial symmetry, and gives rise to stripe-ordered superfluid and supersolid phases in large parameter spaces. We also discuss the effects of a trapping potential and comment on the viability of observing stripe-ordered phases with cold Fermi gases. %U http://arxiv.org/abs/1406.6890v2