Spin-s wave functions with algebraic order

Abstract

We generalize the Gutzwiller wave function for s=½ spin chains to construct a family of wave functions for all s > ½. Through numerical simulations, we demonstrate that the spin spin correlation functions for all s decay as a power law with logarithmic corrections. This is done by mapping the model to a classical statistical mechanical model, which has coupled Ising spin chains with long range interactions. The power law exponents are those of the Wess Zumino Witten models with k=2s. Thus these simple wave functions reproduce the spin correlations of the family of Hamiltonians obtained by the Algebraic Bethe Ansatz.