1. Exotic Quantum Spin Models in Spin-Orbit-Coupled Mott Insulators.
- Author
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Radić, J., Di Ciolo, A., Sun, K., and Galitski, V.
- Subjects
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EXOTIC atoms , *NUCLEAR spin , *SPIN-orbit interactions , *ELECTRIC insulators & insulation , *OPTICAL lattices , *MOTT effect (Physics) , *HAMILTONIAN systems - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2012
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