Journal article
Family of spin-S chain representations of SU(2) k Wess-Zumino-Witten models
R Thomale, S Rachel, P Schmitteckert, M Greiter
Physical Review B Condensed Matter and Materials Physics | AMER PHYSICAL SOC | Published : 2012
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. © 2012 American P..
View full abstractGrants
Awarded by DFG
Funding Acknowledgements
R.T. thanks J. S. Caux for comments and D. P. Arovas, B. A. Bernevig, and F. D. M. Haldane for discussions as well as collaborations on related topics. M. G. thanks A. W. W. Ludwig and K. Schoutens for discussions. R. T. is financially supported by an SITP fellowship by Stanford University. S. R. acknowledges support from DFG under Grant No. RA 1949/1-1. M. G. was supported by DFG-FOR 960.