English

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

Quantum Gases 2012-08-28 v1

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.

Keywords

Cite

@article{arxiv.1205.2110,
  title  = {Exotic quantum spin models in spin-orbit-coupled Mott insulators},
  author = {Juraj Radic and Andrea Di Ciolo and Kai Sun and Victor Galitski},
  journal= {arXiv preprint arXiv:1205.2110},
  year   = {2012}
}

Comments

5 pages, 3 color figures

R2 v1 2026-06-21T21:01:09.455Z