Quarter-filled Kitaev-Hubbard Model: A Quantum Hall State in an Optical Lattice

Abstract

We analyze the Physics of cold atoms in honeycomb optical lattices with on-site repulsion and spin-orbit couplings that break time reversal symmetry. Such systems, at half filling and large on-site repulsion, have been proposed as a possible realization of the Kitaev model. The spin-orbit couplings break the spin degeneracy and, if strong-enough, lead to four non-overlapping bands in the non-interacting limit. These bands carry non-zero Chern number and therefore the non-interacting system has non-zero angular momentum and chiral edge states at 1/4 and 3/4 filling. We have investigated the effect of interactions using the variational cluster perturbation theory and conclude that the chiral edge states exist in finite range of interaction and hopping parameter space.

8 pages, 8 figures

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Cited by in corpus (8)

• Topological Mott Insulator at Quarter Filling in the Interacting Haldane Model
• Quantum cluster approach to the spinful Haldane-Hubbard model
• Topological phases of the Kitaev-Hubbard Model at half-filling
• Parity-mixing superconducting phase in the Rashba-Hubbard model and its topological properties from dynamical mean field theory
• Triplet FFLO Superconductivity in the doped Kitaev-Heisenberg Honeycomb Model
• Topological transitions in a model with Particle-Hole symmetry, Pancharatnam-Berry Curvature and Dirac Points
• Distinct-symmetry spin liquid states and phase diagram of Kitaev-Hubbard model
• Quantum spin models of commensurate $p$-wave magnets