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

Farnell, Damian J. J., 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 Jun 2017 06:23
URI: http://orca.cf.ac.uk/id/eprint/59342

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