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Magnetic ordering of antiferromagnets on a spatially anisotropic triangular lattice

Bishop, R. F., Li, P. H. Y., Farnell, Damian J. J. and Campbell, C. E. 2010. Magnetic ordering of antiferromagnets on a spatially anisotropic triangular lattice. International Journal of Modern Physics B 24 (25-26) , pp. 5011-5026. 10.1142/S021797921005716X

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We study the spin-1/2 and spin-1 Heisenberg antiferromagnets (HAFs) on an infinite, anisotropic, two-dimensional triangular lattice, using the coupled cluster method. With respect to an underlying square-lattice geometry the model contains antiferromagnetic (J1 > 0) bonds between nearest neighbours and competing bonds between next-nearest-neighbours across only one of the diagonals of each square plaquette, the same diagonal in each square. In a topologically equivalent triangular-lattice geometry the model has two sorts of nearest-neighbour bonds, with bonds along parallel chains and with J1 bonds providing an interchain coupling. The model thus interpolates between an isotropic HAF on the square lattice at one extreme (κ = 0) and a set of decoupled chains at the other (κ → ∞), with the isotropic HAF on the triangular lattice in between at κ = 1. For the spin-1/2 model, we find a weakly first-order (or possibly second-order) quantum phase transition from a Néel-ordered state to a helical state at a first critical point at κc1 = 0.80 ± 0.01, and a second critical point at κc2 = 1.8 ± 0.4 where a first-order transition occurs between the helical state and a collinear stripe-ordered state. For the corresponding spin-1 model we find an analogous transition of the second-order type at κc1 = 0.62 ± 0.01 between states with Néel and helical ordering, but we find no evidence of a further transition in this case to a stripe-ordered phase.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Dentistry
Subjects: Q Science > QC Physics
Additional Information: Erratum with correct figures 5-8 published as: R. F. BISHOP et al, Int. J. Mod. Phys. B 25, 2787 (2011). DOI: 10.1142/S0217979211059000
Publisher: World Scientific Publishing
ISSN: 0217-9792
Last Modified: 04 Jun 2017 06:23

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