First-order Néel to columnar valence bond solid transition in a model square-lattice S=1 antiferromagnet

Julia Wildeboer, Nisheeta Desai, Jonathan D'Emidio, Ribhu K. Kaul

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


We study the Néel to fourfold columnar valence bond solid (cVBS) quantum phase transition in a sign-free S=1 square-lattice model. This is the same kind of transition that for S=1/2 has been argued to realize the prototypical deconfined critical point. Extensive numerical simulations of the square-lattice S=1/2 Néel-VBS transition have found consistency with the deconfined critical point scenario with no direct evidence for first-order behavior. In contrast to the S=1/2 case, in our quantum Monte Carlo simulations for the S=1 model, we present unambiguous evidence for a direct conventional first-order quantum phase transition. Classic signs of a first-order transition demonstrating coexistence including double-peaked histograms and switching behavior are observed. The sharp contrast from the S=1/2 case is remarkable; we hypothesize that this is a striking demonstration of the role of the size of the quantum spin in the phase diagram of two-dimensional lattice models.

Original languageEnglish
Article number045111
JournalPhysical Review B
Issue number4
StatePublished - Jan 13 2020

Bibliographical note

Publisher Copyright:
© 2020 American Physical Society.

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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