Spin-s wave functions with algebraic order

[摘要] We generalize the Gutzwiller wave function for s = 1/2 spin chains to construct a family of wave functions for all s >1/2. 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.

[发布日期] 2004-11-01

[关键词] BOND GROUND-STATES;CRITICAL-BEHAVIOR;MODELS;CHAINS;ANTIFERROMAGNETS;FERROMAGNET