Attractive Hofstadter-Hubbard model with imbalanced chemical and vector potentials
arXiv:1501.01176 · doi:10.1103/PhysRevA.91.053606
Abstract
We study the interplay between the Hofstadter butterfly, strong interactions and Zeeman field within the mean-field Bogoliubov-de Gennes theory in real space, and explore the ground states of the attractive single-band Hofstadter-Hubbard Hamiltonian on a square lattice, including the exotic possibility of imbalanced vector potentials. We find that the cooperation between the vector potential and superfluid order breaks the spatial symmetry of the system, and flourish stripe-ordered Fulde-Ferrell-Larkin-Ovchinnikov (FFLO)-like superfluid and supersolid phases that can be distinguished and characterized according to their coexisting pair-density (PDW), charge-density (CDW) and spin-density (SDW) wave orders. We also discuss confined systems and comment on the likelihood of observing such stripe-ordered phases by loading neutral atomic Fermi gases on laser-induced optical lattices under laser-generated artificial gauge fields.
arXiv comment12 pages and 13 figures; longer version of arXiv:1406.6890
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- Majorana corner modes with solitons in an attractive Hubbard-Hofstadter model of cold atom optical lattices
- Realizing the Harper model with Ultracold Atoms in a Ring Lattice
- Creating a bosonic fractional quantum Hall state by pairing fermions
- BCS theory of time-reversal-symmetric Hofstadter-Hubbard model
- Spin-imbalance-induced transverse magnetization in the Hofstadter-Hubbard model
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- Superfluid transition in the attractive Hofstadter-Hubbard model
- Two-dimensional Fermi gas in antiparallel magnetic fields
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- Theory of Hofstadter Superconductors
- Numerical solution of large scale Hartree-Fock-Bogoliubov equations