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arXiv · 1609.06196

Theoretical Study of the Frustrated Ising Antiferromagnet on the Honeycomb Lattice

A. Bobák·T. Lučivjanský·M. Žukovič·M. Borovský·T. Balcerzak
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Abstract

We study effects of the next-next-nearest-neighbour antiferromagnetic ($J_3 < 0$) interaction on critical properties (or phase diagram) of the frustrated spin-$\frac{1}{2}$ $J_1-J_2-J_3$ Ising antiferromagnet on the honeycomb lattice by using the effective-field theory with correlations. Beside the ground-state energy, we find that there is a region of $J_3 < 0$ in which the frustrated honeycomb lattice antiferromagnet exhibits a tricritical point, at which the phase transition changes from the second order to the first one on the line between N\'eel antiferromagnetic and paramagnetic phases.

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A. Bobák, T. Lučivjanský, M. Žukovič, M. Borovský, T. Balcerzak. 2016-09-20. Theoretical Study of the Frustrated Ising Antiferromagnet on the Honeycomb Lattice. https://doi.org/10.12693/aphyspola.131.636

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