Spin-s wavefunctions with algebraic order

Abstract

We generalize the Gutzwiller wavefunction for s = 1/2 spin chains to construct a family of wavefunctions 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 wavefunctions reproduce the spin correlations of the family of Hamiltonians obtained by the Algebraic Bethe Ansatz.

10 pages, 7 figures

References in corpus (2)

• Bosonization and Strongly Correlated Systems
• The 2-d Coulomb Gas on a 1-d lattice

Cited by in corpus (4)

• Quantum spin Hamiltonians for the SU(2)_k WZW model
• Exact parent Hamiltonians of bosonic and fermionic Moore-Read states on lattices and local models
• Conformal field theory and the non-abelian $SU(2{)}_k$ chiral spin liquid
• Bridging conformal field theory and parton approaches to SU(n)_k chiral spin liquids