Pairing and Vortex Lattices for Interacting Fermions in Optical Lattices with a Large Magnetic Field
arXiv:0912.5422 · doi:10.1103/PhysRevLett.104.145301
Abstract
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.
4 pages, 3 figures, one table, published version
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Cited by in corpus (25)
- Light-induced gauge fields for ultracold atoms
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- Interacting Hofstadter spectrum of atoms in an artificial gauge field
- Bogoliubov theory of interacting bosons on a lattice in a synthetic magnetic field
- Anyon Superconductivity from Topological Criticality in a Hofstadter-Hubbard Model
- Unconventional Self-Similar Hofstadter Superconductivity from Repulsive Interactions
- Topological Phase Transition in the Hofstadter-Hubbard Model
- Superfluid-Insulator transition of ultracold atoms in an optical lattice in the presence of a synthetic magnetic field
- Berezinskii-Kosterlitz-Thouless transition in the time-reversal-symmetric Hofstadter-Hubbard model
- Attractive Hofstadter-Hubbard model with imbalanced chemical and vector potentials
- BCS theory of time-reversal-symmetric Hofstadter-Hubbard model
- Phase diagram of superconductivity in the integer quantum Hall regime
- Stripe-ordered superfluid and supersolid phases in attractive Hofstadter-Hubbard model
- Intertwined Order in Fractional Chern Insulators from Finite-Momentum Pairing of Composite Fermions
- Ultracold bosons in a synthetic periodic magnetic field: Mott phases and re-entrant superfluid-insulator transitions
- Pair density waves and vortices in an elongated two-component Fermi gas
- Degeneracy of Many-body Quantum States in an Optical Lattice with a Uniform Magnetic Field
- Superfluid transition in the attractive Hofstadter-Hubbard model
- Thermal transitions of the modulated superfluid for spin-orbit coupled correlated bosons in an optical lattice
- Chern numbers for the two-body Hofstadter-Hubbard butterfly
- Rotating BEC in an optical lattice in Uniformly frustrated Josephson Junction arrays regime: Vortex configuration formulation for ground state
- Strongly fluctuating fermionic superfluid in attractive π-flux Hubbard model
- Theory of Hofstadter Superconductors