Spin nematic ordering in the spin-1 chain system

We predict the instability of the quantum spin-1 chain material with respect to the spin nematic ordering. For the spin subsystem the spin nematic order parameter is related to the onset of single-ion spin anisotropy. The ordering is caused by the coupling to the elastic subsystem of the crystal or, for spin-1 ultracold bosons in a one-dimensional optical lattice, by the interaction with a Bose-Einstein condensate. Our conclusions are based on the exact integrability of the spin model and on numerical simulations for the nonintegrable cases. Our exact results also describe the behavior of interacting gluons within the lattice toy Yang-Mills-like model, in which spontaneous and field-induced symmetry breaking can be realized.

Automated summary

This article discusses the stability of quantum spin-1 chain materials and their relationship to spin nematic ordering. The study found that spin nematic ordering is related to the spin subsystem's spin nematic order parameter, coupling to the elastic subsystem of the crystal, and interaction with ultracold bosons in a one-dimensional optical lattice.