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arXiv · 1205.2110

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

Juraj Radic·Andrea Di Ciolo·Kai Sun·Victor Galitski
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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.

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Juraj Radic, Andrea Di Ciolo, Kai Sun, Victor Galitski. 2012-05-09. Exotic quantum spin models in spin-orbit-coupled Mott insulators. https://doi.org/10.1103/physrevlett.109.085303

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