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      Pairing and vortex lattices for interacting fermions in optical lattices with a large magnetic field

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      Author(s)
      Zhai, H.
      Umucalılar, R. O.
      Oktel, M. Ö.
      Date
      2010
      Source Title
      Physical Review Letters
      Print ISSN
      0031-9007
      Publisher
      The American Physical Society
      Volume
      104
      Issue
      14
      Pages
      145301-1 - 145301-4
      Language
      English
      Type
      Article
      Item Usage Stats
      143
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      100
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      Abstract
      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.
      Keywords
      Flux densities
      Hofstadter
      Interacting fermions
      Magnetic translation
      Optical lattices
      Order parameter
      Relative phasis
      Self-consistent mean-field theories
      Single particle spectrum
      Spin-1/2 fermions
      Square lattices
      Superfluid phase
      Vortex lattice structure
      Vortex lattices
      Crystal lattices
      Fermions
      Magnetic fields
      Mean field theory
      Neodymium compounds
      Wave functions
      Phase transitions
      Permalink
      http://hdl.handle.net/11693/22357
      Published Version (Please cite this version)
      http://dx.doi.org/10.1103/PhysRevLett.104.145301
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      • Department of Physics 2397
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