Theoretical Study of the Frustrated Ising Antiferromagnet on the Honeycomb Lattice
A. Bobáka, T. Lučivjanskýa,b, M. Žukovič a, M. Borovský a and T. Balcerzak c
aInstitute of Physics, Faculty of Science, P.J. Šafárik University, Park Angelinum 9, 041 54 Košice, Slovakia
bFakultät für Physik, Universität Duisburg-Essen, D-47048 Duisburg, Germany
cDepartment of Solid State Physics, University of Łódź, Pomorska 149/153, 90-236 Łódź, Poland
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We study effects of the next-next-nearest-neighbour antiferromagnetic (J3<0) interaction on critical properties (or phase diagram) of the frustrated spin-1/2 J1-J2-J3 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 J3 < 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.

DOI: 10.12693/APhysPolA.131.636
PACS numbers: 05.50.+q, 05.70.-a, 75.10.Hk