Gutzwiller Hund wavefunction for the S=1 linear chain

Abstract

We introduce a wave function for a spin-1 Heisenberg linear chain using the strategy of Gutzwiller to project out a spin-1 system out of two copies of the half-filled noninteracting Fermi gas. The projection further involves Hund symmetrization of the spin-½ particles to produce a spin-1 at each site. The correlation functions in the wave function seem to have the same power-law decay as those of a Bethe-ansatz soluble spin-1 chain. Some exact results for finite length systems are presented.