The domain-state orbital liquids in a one-dimensional spin-orbital model

A one-dimensional integrable spin-orbital model is studied. In the large spin limit, the degrees of freedom of the spin part can be described by the classical Ising spins. Without the external magnetic field, the ground state of the system is a connected orbital liquid with the background of Ising antiferromagnetic order of spins. The elementary excitations are the usual spinon-like orbital quanta. In an external magetic field, flux phase exists in the system. The fluxes(two parallel ising spins) cut the system into disconnected orbital liquids(domains).