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

Ribhu K. Kaul

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

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
Article number157202
JournalPhysical Review Letters
Volume115
Issue number15
DOIs
StatePublished - Oct 7 2015

Bibliographical note

Publisher Copyright:
© 2015 American Physical Society.

ASJC Scopus subject areas

  • Physics and Astronomy (all)

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