title: Exotic quantum spin models in spin-orbit-coupled Mott insulators.
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 bosons and fermions. 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. We discuss the state of the art of experiments to realize and detect magnetic orderings in strongly correlated optical lattices.
authors.affiliation: Joint Quantum Institute and Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA.
authors.forename: J
authors.initials: J
authors.lastname: Radić
authors.forename: A
authors.initials: A
authors.lastname: Di Ciolo
authors.forename: K
authors.initials: K
authors.lastname: Sun
authors.forename: V
authors.initials: V
authors.lastname: Galitski