Frustrated Heisenberg antiferromagnet on the honeycomb lattice: A candidate for deconfined quantum criticality

D. J.J. Farnell, R. F. Bishop, P. H.Y. Li, J. Richter, C. E. Campbell

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Abstract

We study the ground-state (gs) phase diagram of the frustrated spin-12 J1-J2-J3 antiferromagnet with J 2=J3=κJ1 on the honeycomb lattice using coupled-cluster theory and exact diagonalization methods. We present results for the gs energy, magnetic order parameter, spin-spin correlation function, and plaquette valence-bond crystal (PVBC) susceptibility. We find a Néel antiferromagnetic (AFM) phase for κ<κc1≈0.47, a collinear striped AFM phase for κ>κc2≈0.60, and a paramagnetic PVBC phase for κc1κκc2. The transition at κc2 appears to be of first-order type, while that at κc1 is continuous. Since the Néel and PVBC phases break different symmetries our results favor the deconfinement scenario for the transition at κc1.

Original languageEnglish (US)
Article number012403
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume84
Issue number1
DOIs
StatePublished - Jul 11 2011

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