Exotic quantum spin models in spin-orbit-coupled Mott insulators
arXiv:1205.2110 · doi:10.1103/PhysRevLett.109.085303
Abstract
We study cold atoms in an optical lattice with synthetic spin-orbit coupling in the Mott-insulator regime. We calculate the parameters of the corresponding tight-binding model using Peierls substitution and "localized Wannier states method" and derive the low-energy spin Hamiltonian for fermions and bosons. The spin Hamiltonian is a combination of Heisenberg model, quantum compass model and Dzyaloshinskii-Moriya interactions and it has a rich classical phase diagram with collinear, spiral and vortex phases.
5 pages, 3 color figures
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