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Abstract
We introduce a simple model of SO(N) spins with two-site interactions which is amenable to quantum Monte Carlo studies without a sign problem on nonbipartite lattices. We present numerical results for this model on the two-dimensional triangular lattice where we find evidence for a spin nematic at small N, a valence-bond solid at large N, and a quantum spin liquid at intermediate N. By the introduction of a sign-free four-site interaction, we uncover a rich phase diagram with evidence for both first-order and exotic continuous phase transitions.
Document Type
Article
Publication Date
10-9-2015
Digital Object Identifier (DOI)
http://dx.doi.org/10.1103/PhysRevLett.115.157202
Funding Information
This research was supported in part by National Science Foundation Grant No. DMR-1056536.
Repository Citation
Kaul, Ribhu K., "Spin Nematics, Valence-Bond Solids, and Spin Liquids in SO(N) Quantum Spin Models on the Triangular Lattice" (2015). Physics and Astronomy Faculty Publications. 376.
https://uknowledge.uky.edu/physastron_facpub/376
The supplementary file contain extra details about the model studied and simulation methods
Notes/Citation Information
Published in Physical Review Letters, v. 115, no. 15, article 157202, p. 1-5.
© 2015 American Physical Society
The copyright holders have granted the permission for posting the article here.