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Phase diagram of a frustrated Heisenberg antiferromagnet on the honeycomb lattice: The J(1)-J(2)-J(3) model

Li, P. H. Y., Bishop, R. F., Farnell, Damian J. J. and Campbell, C. E. 2012. Phase diagram of a frustrated Heisenberg antiferromagnet on the honeycomb lattice: The J(1)-J(2)-J(3) model. Physical Review B: Condensed Matter and Materials Physics 86 (14) , 144404. 10.1103/PhysRevB.86.144404

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We use the coupled-cluster method in high orders of approximation to make a comprehensive study of the ground-state (GS) phase diagram of the spin-1/2 J1-J2-J3 model on a two-dimensional honeycomb lattice with antiferromagnetic (AFM) interactions up to third-nearest neighbors. Results are presented for the GS energy and the average local onsite magnetization. With the nearest-neighbor coupling strength J1≡1, we find four magnetically ordered phases in the parameter window J2,J3∈[0,1], namely, the Néel, striped, and Néel-II collinear AFM phases, plus a spiral phase. The Néel-II phase appears as a stable GS phase in the classical version of the model only for values J3<0. Each of these four ordered phases shares a boundary with a disordered quantum paramagnetic (QP) phase, and at several widely separated points on the phase boundaries the QP phase has an infinite susceptibility to plaquette valence-bond crystalline order. We identify all of the phase boundaries with good precision in the parameter window studied, and we find three tricritical quantum critical points therein at (a) (Jc12,Jc13)=(0.51±0.01,0.69±0.01) between the Néel, striped, and QP phases; (b) (Jc22,Jc23)=(0.65±0.02,0.55±0.01) between the striped, spiral, and QP phases; and (c) (Jc32,Jc33)=(0.69±0.01,0.12±0.01) between the spiral, Néel-II, and QP phases.

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

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