Abstract
We investigate a family of spin- chain Hamiltonians recently introduced by one of us [Greiter, Mapping of Parent Hamiltonians, Springer Tracts in Modern Physics, Vol. 244 (Springer, Berlin, 2011)]. For , it corresponds to the Haldane-Shastry model. For general spin , we find indication that the low-energy theory of these spin chains is described by the SU(2) Wess-Zumino-Witten model with coupling . In particular, we investigate the model whose ground state is given by a Pfaffian for even number of sites . We reconcile aspects of the spectrum of the Hamiltonian for arbitrary with trial states obtained by Schwinger projection of two Haldane-Shastry chains.
- Received 27 October 2011
DOI:https://doi.org/10.1103/PhysRevB.85.195149
©2012 American Physical Society