Browsing by Subject "Vortex lattice structure"
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Item Open Access Pairing and vortex lattices for interacting fermions in optical lattices with a large magnetic field(The American Physical Society, 2010) Zhai, H.; Umucalılar, R. O.; Oktel, M. Ö.We study the structure of a pairing order parameter for spin-1/2 fermions with attractive interactions in a square lattice under a uniform magnetic field. Because the magnetic translation symmetry gives a unique degeneracy in the single-particle spectrum, the pair wave function has both zero and finite-momentum components coexisting, and their relative phases are determined by a self-consistent mean-field theory. We present a microscopic calculation that can determine the vortex lattice structure in the superfluid phase for different flux densities. Phase transition from a Hofstadter insulator to a superfluid phase is also discussed.Item Open Access Vortex lattices in dipolar two-compenent Bose-Einstein condensates(American Physical Society, 2014-02-21) Ghazanfari, N.; Keles, A.; Oktel, M. O.We consider a rapidly rotating two-component Bose-Einstein condensate with short-range s-wave interactions as well as dipolar coupling. We calculate the phase diagram of vortex lattice structures as a function of the intercomponent s-wave interaction and the strength of the dipolar interaction. We find that the long-range interactions cause new vortex lattice structures to be stable and lead to a richer phase diagram. Our results reduce to the previously found lattice structures for short-range interactions and single-component dipolar gases in the corresponding limits.