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.
|Journal||Physical Review Letters|
|State||Published - Oct 7 2015|
Bibliographical notePublisher Copyright:
© 2015 American Physical Society.
ASJC Scopus subject areas
- Physics and Astronomy (all)