Spin Nematics, Valence-Bond Solids, and Spin Liquids in so (N) Quantum Spin Models on the Triangular Lattice

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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.

Original languageEnglish (US)
Article number157202
JournalPhysical review letters
Volume115
Issue number15
DOIs
StatePublished - Oct 7 2015

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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