Abstract
We study the properties of the nearest-neighbor SU( N) antiferromagnet a square lattice as a function of N and the number of rows ( m) and columns ( n c ) in the Young tableau of the SU( N) representation on the A sublattice; the sites of the B sublattice have the conjugate representation (the familiar Heisenberg antiferromagnet has N = 2, m = 1 and n c = 2 S). We study the global phase diagram in the ( N, m, n c ) space using 1 N expansions; in particular: (i) for N large with m proportional to N and n c arbitrary, we find spin-Peierls (dimerized) ground states with short-range spin correlations; (ii) with m = 1, the model is shown to be equivalent, at order 1 N , to a generalized quantum dimer model. We discuss the relationship of these results to the SU( N) generalization of recent arguments by Haldane on the effect of “hedgehog” point singularities in the space-time spin configuration. As an intermediate step in our calculation, we present a simple new derivation of the coherent state path integral representation of SU( N) spin models.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
