Competing orders in the Hofstadter t-J model
arXiv:1710.10103 · doi:10.1103/PhysRevB.97.035154
Abstract
The Hofstadter model describes non-interacting fermions on a lattice in the presence of an external magnetic field. Motivated by the plethora of solid-state phases emerging from electron interactions, we consider an interacting version of the Hofstadter model including a Hubbard repulsion U. We investigate this model in the large-U limit corresponding to a t-J Hamiltonian with an external (orbital) magnetic field. By using renormalized mean field theory supplemented by exact diagonalization calculations of small clusters, we find evidence for competing symmetry-breaking phases, exhibiting (possibly co-existing) charge, bond and superconducting orders. Topological properties of the states are also investigated and some of our results are compared to related experiments involving ultra-cold atoms loaded on optical lattices in the presence of a synthetic gauge field.
12 pages, 8 figures, accepted manuscript
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Cited by in corpus (7)
- Unconventional Self-Similar Hofstadter Superconductivity from Repulsive Interactions
- Thermodynamics of correlated electrons in a magnetic field
- Interaction-driven Spontaneous Ferromagnetic Insulating States with Odd Chern Numbers
- Superconductivity in a Topological Lattice Model with Strong Repulsion
- Ferromagnetism and Skyrmions in the Hofstadter-Fermi-Hubbard Model
- Quantum Spin Liquid phases in Kitaev Materials
- Oscillatory magnetic field-dependent critical temperatures of ultraclean Type-II superconductors