BCS theory of time-reversal-symmetric Hofstadter-Hubbard model
arXiv:1704.07755 · doi:10.1103/PhysRevLett.119.085301
Abstract
The competition between the length scales associated with the periodicity of a lattice potential and the cyclotron radius of a uniform magnetic field is known to have dramatic effects on the single-particle properties of a quantum particle, e.g., the fractal spectrum is known as the Hofstadter butterfly. Having this intricate competition in mind, we consider a two-component Fermi gas on a square optical lattice with opposite synthetic magnetic fields for the components, and study its effects on the many-body BCS-pairing phenomenon. By a careful addressing of the distinct superfluid transitions from the semi-metal, quantum spin-Hall insulator or normal phases, we explore the low-temperature phase diagrams of the model, displaying lobe structures that are reminiscent of the well-known Mott-insulator transitions of the Bose-Hubbard model.
5 pages with 4 figures in the Main text, and 3 additional figures Online. To appear in Phys. Rev. Lett
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Cited by in corpus (11)
- Majorana corner modes with solitons in an attractive Hubbard-Hofstadter model of cold atom optical lattices
- Unconventional Self-Similar Hofstadter Superconductivity from Repulsive Interactions
- Topological phases of the dimerized Hofstadter butterfly
- Berezinskii-Kosterlitz-Thouless transition in the 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
- Superconductivity in a Topological Lattice Model with Strong Repulsion
- Topological two-body bands in a multiband Hubbard model
- Chern numbers for the two-body Hofstadter-Hubbard butterfly
- Two-dimensional imbalanced Fermi gas in antiparallel magnetic fields
- Theory of Hofstadter Superconductors
- Numerical solution of large scale Hartree-Fock-Bogoliubov equations