Phase diagram of the Ising square lattice with competing interactions

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 $J_2=0.5J_1$. Further on we investigate the character of the different phase boundaries and find that the transition is weakly first order for moderate $J_2>0.5J_1$.

arXiv comment5 pages including 6 figures, accepted for publication in EPJ B

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