Phase diagram of the Ising square lattice with competing interactions

Details Phase diagram of the Ising square lattice with competing interactions Phase diagram of the Ising square lattice with competing interactions

2008-05-07

arxiv.org/abs/0805.0983v2

Eur. Phys. J. B 65, 533-537 (2008)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1140/epjb/e2008-00359-6

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 $J_2 > 0.5 J_1$.

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