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

Farnell, Damian J. J. ORCID: https://orcid.org/0000-0003-0662-1927, Bishop, R. F., Li, P. H. Y., Richter, J. and Campbell, C. E. 2011. Frustrated Heisenberg antiferromagnet on the honeycomb lattice: A candidate for deconfined quantum criticality. Physical Review B: Condensed Matter and Materials Physics 84 (1) , 012403. 10.1103/PhysRevB.84.012403

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Abstract

We study the ground-state (gs) phase diagram of the frustrated spin-12 J1–J2–J3 antiferromagnet with J2=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 κc1≲κ≲κc2. 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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Dentistry
Subjects:	Q Science > QC Physics
Publisher:	American Physical Society
ISSN:	1098-0121
Last Modified:	04 Jan 2024 08:38
URI:	https://orca.cardiff.ac.uk/id/eprint/59342

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