Superfluid transition in the attractive Hofstadter-Hubbard model

Abstract

We consider a Fermi gas that is loaded onto a square optical lattice and subjected to a perpendicular artificial magnetic field, and determine its superfluid transition boundary by adopting a BCS-like mean-field approach in momentum space. The multi-band structure of the single-particle Hofstadter spectrum is taken explicitly into account while deriving a generalized pairing equation. We present the numerical solutions as functions of the artificial magnetic flux, interaction strength, Zeeman field, chemical potential, and temperature, with a special emphasis on the roles played by the density of single-particle states and center-of-mass momentum of Cooper pairs.

9 pages with 11 figures; to appear in PRA

References in corpus (8)

• Many-Body Physics with Ultracold Gases
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Theory of ultracold Fermi gases
• FFLO state in 1, 2, and 3 dimensional optical lattices combined with a non-uniform background potential
• Evolution of the Hofstadter butterfly in a tunable optical lattice
• Attractive Hofstadter-Hubbard model with imbalanced chemical and vector potentials
• Stripe-ordered superfluid and supersolid phases in attractive Hofstadter-Hubbard model
• Topological phase transitions on a triangular optical lattice with non-Abelian gauge fields

Cited by in corpus (6)

• Extracting quantum-geometric effects from Ginzburg-Landau theory in a multiband Hubbard model
• Berezinskii-Kosterlitz-Thouless transition in the time-reversal-symmetric Hofstadter-Hubbard model
• BCS theory of time-reversal-symmetric Hofstadter-Hubbard model
• Hofstadter-Hubbard model with opposite magnetic fields: Bardeen-Cooper-Schrieffer pairing and superfluidity in the nearly flat butterfly bands
• Intertwined Order in Fractional Chern Insulators from Finite-Momentum Pairing of Composite Fermions
• Theory of Hofstadter Superconductors