CONTINUOUS- AND FIRST-ORDER PHASE TRANSITIONS IN ISING ANTIFERROMAGNETS WITH NEXT-NEAREST- NEIGHBOUR INTERACTIONS

by **Algerien1970** Mon 15 Jun - 18:14

CONTINUOUS- AND FIRST-ORDER PHASE TRANSITIONS IN ISING ANTIFERROMAGNETS WITH

NEXT-NEAREST-NEIGHBOUR INTERACTIONS

A. Malakis, P. Kalozoumis and N. G. Fytas

Section of Solid State Physics, Department of Physics, University of Athens, Panepistimiopolis, GR 15784

Zografos, Athens, Greece

Received: December 08, 2006

Abstract. Both the square and triangular Ising antiferromagnetic systems with next-nearest neighbour interactions are studied by a new efficient entropic scheme. Using the energy distribution and order parameter’s fourth order cumulant it is illustrated that the two models behave quite differently. For the square model we establish strong numerical evidence showing a continuous transition scaling, whereas for the triangular model a first-order transition is verified. Our results are compared with the existing predictions and controversies in the literature.

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