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The frustrated Heisenberg antiferromagnet on the honeycomb lattice: J(1)-J(2) model

Bishop, R. F., Li, P. H. Y., Farnell, Damian J. J. ORCID: and Campbell, C. E. 2012. The frustrated Heisenberg antiferromagnet on the honeycomb lattice: J(1)-J(2) model. Journal of Physics: Condensed Matter 24 (23) , 236002. 10.1088/0953-8984/24/23/236002

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We study the ground-state phase diagram of the frustrated spin- antiferromagnet with J2 = xJ1 > 0 (J1 > 0) on the honeycomb lattice, using the coupled-cluster method. We present results for the ground-state energy, magnetic order parameter and plaquette valence-bond crystal (PVBC) susceptibility. We find a paramagnetic PVBC phase for xc1 < x < xc2, where xc1 ≈ 0.207 ± 0.003 and xc2 ≈ 0.385 ± 0.010. The transition at xc1 to the Néel phase seems to be a continuous deconfined transition (although we cannot exclude a very narrow intermediate phase in the range 0.21 lesssim x lesssim 0.24), while that at xc2 is of first-order type to another quasiclassical antiferromagnetic phase that occurs in the classical version of the model only at the isolated and highly degenerate critical point . The spiral phases that are present classically for all values are absent for all x lesssim 1.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Dentistry
Subjects: Q Science > QC Physics
Publisher: IOP Publishing
ISSN: 0953-8984
Last Modified: 04 Jan 2024 08:38

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