Tricritical behaviour of the frustrated Ising antiferromagnet on the honeycomb lattice

Abstract

We use the effective-field theory with correlations based on different cluster sizes to investigate phase diagrams of the frustrated Ising antiferromagnet on the honeycomb lattice with isotropic interactions of the strength $J_1<0$ between nearest-neighbour pairs and $J_2<0$ between next-nearest neighbour pairs of spins. We present results for the ground-state energy as a function of the frustration parameter $R=J_2/|J_1|$. We find that the cluster-size has a considerable effect on the existence and location of a tricritical point in the phase diagram at which the phase transition changes from the second order to the first one.

arXiv commentFigures can be obtained from T. Lučivjanský ([email protected]); 15 pages, 5 figures, pdf-Latex. arXiv admin note: text overlap with arXiv:1503.05094

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