Family of spin-S chain representations of SU(2)k Wess-Zumino-Witten models
Abstract
We investigate a family of spin-S chain Hamiltonians recently introduced by one of us [Greiter, Mapping of Parent Hamiltonians, Springer Tracts in Modern Physics, Vol. 244 (Springer, Berlin, 2011)]. For S=1/2, it corresponds to the Haldane-Shastry model. For general spin S, we find indication that the low-energy theory of these spin chains is described by the SU(2)k Wess-Zumino-Witten model with coupling k=2S. In particular, we investigate the S=1 model whose ground state is given by a Pfaffian for even number of sites N. We reconcile aspects of the spectrum of the Hamiltonian for arbitrary N with trial states obtained by Schwinger projection of two Haldane-Shastry chains.
- Publication:
-
Physical Review B
- Pub Date:
- May 2012
- DOI:
- 10.1103/PhysRevB.85.195149
- arXiv:
- arXiv:1110.5956
- Bibcode:
- 2012PhRvB..85s5149T
- Keywords:
-
- 75.10.Jm;
- 75.10.Dg;
- 75.10.Pq;
- Quantized spin models;
- Crystal-field theory and spin Hamiltonians;
- Spin chain models;
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- 4.3 pages, 4 figures