Pairing and Vortex Lattices for Interacting Fermions in Optical Lattices with a Large Magnetic Field

Details Pairing and Vortex Lattices for Interacting Fermions in Optical Lattices with a Large Magnetic Field Pairing and Vortex Lattices for Interacting Fermions in Optical Lattices with a Large Magnetic Field

2009-12-30

arxiv.org/abs/0912.5422v2

Physical Review Letters, 104, 145301 (2010), selected as " Editor's Suggestions "

Physics

Condensed Matter

Quantum Gases

4 pages, 3 figures, one table, published version

Scientific paper

10.1103/PhysRevLett.104.145301

We study the structure of 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 wave function has both zero and finite momentum components co-existing, 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.

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