paper

Phase diagram of the Ising square lattice with competing interactions

arXiv:0805.0983 · doi:10.1140/epjb/e2008-00359-6

Abstract

We restudy the phase diagram of the 2D-Ising model with competing interactions $J_{1}$ on nearest neighbour and $J_{2}$ on next-nearest neighbour bonds via Monte-Carlo simulations. We present the finite temperature phase diagram and introduce computational methods which allow us to calculate transition temperatures close to the critical point at $J_{2} = 0.5 J_{1}$ . Further on we investigate the character of the different phase boundaries and find that the transition is weakly first order for moderate $J_{2} > 0.5 J_{1}$ .

5 pages including 6 figures, accepted for publication in EPJ B