Exotic quantum spin models in spin-orbit-coupled Mott insulators. - National Genomics Data Center (CNCB-NGDC)

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Exotic quantum spin models in spin-orbit-coupled Mott insulators.

J Radić, A Di Ciolo, K Sun, V Galitski

Author Information

J Radić: Joint Quantum Institute and Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA.

PMID: 23002755 DOI: 10.1103/PhysRevLett.109.085303

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.

Journal Article

Topological transport in spin-orbit coupled bosonic Mott insulators.Filling-enforced quantum band insulators in spin-orbit coupled crystals.Bose-Hubbard models with synthetic spin-orbit coupling: Mott insulators, spin textures, and superfluidity.Fractionalized Fermionic Quantum Criticality in Spin-Orbital Mott Insulators.Designing Quantum Spin-Orbital Liquids in Artificial Mott Insulators.Mott insulators in the strong spin-orbit coupling limit: from Heisenberg to a quantum compass and Kitaev models.Quantum chaotic features of the spin-orbit coupled excitons in disordered two-dimensional insulators.Models of spin-orbit-coupled oligomers.Prospect of quantum anomalous Hall and quantum spin Hall effect in doped kagome lattice Mott insulators.Fragmented Electronic Spins with Quantum Fluctuations in Organic Mott Insulators Near a Quantum Spin Liquid.

Magnetism and local symmetry breaking in a Mott insulator with strong spin orbit interactions.Orbit-induced spin squeezing in a spin-orbit coupled Bose-Einstein condensate.Dzyaloshinskii-Moriya Interaction and Spiral Order in Spin-orbit Coupled Optical Lattices.Strong coupling phases of the spin-orbit-coupled spin-1 Bose-Hubbard chain: odd integer Mott lobes and helical magnetic phases.A kagome map of spin liquids from XXZ to Dzyaloshinskii-Moriya ferromagnet.Spin and field squeezing in a spin-orbit coupled Bose-Einstein condensate.Spin-orbit coupling in quantum gases.Tunable spinful matter wave valve.New perspectives for Rashba spin-orbit coupling.