Theoretical Study of the Frustrated Ising Antiferromagnet on the Honeycomb Lattice

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 Néel antiferromagnetic and paramagnetic phases.

arXiv comment3 pages, 3 figures, CSMAG'16 conference

References in corpus (4)

• The electronic properties of graphene
• Phase transitions in a frustrated Ising antiferromagnet on a square lattice
• Tricritical behaviour of the frustrated Ising antiferromagnet on the honeycomb lattice
• Quantum phases of the frustrated XY models on the honeycomb lattice