https://doi.org/10.1140/epjb/e2008-00359-6
Phase diagram of the Ising square lattice with competing interactions
Institut für Theoretische Physik, Georg-August-Universität Göttingen, 37077 Göttingen, Germany
Corresponding author: a kalz@theorie.physik.uni-goettingen.de
Received:
7
May
2008
Published online:
25
September
2008
We restudy the phase diagram of the 2D-Ising model with competing interactions J1 on nearest neighbour and J2 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 J2 = J1/2. Further on we investigate the character of the different phase boundaries and find that the transition is weakly first order for moderate J2 > J1/2.
PACS: 05.50.+q – Lattice theory and statistics including Ising, Potts models, etc / 75.10.Hk – Classical spin models / 64.60.De – Statistical mechanics of model systems (Ising model, Potts model, field-theory models, Monte Carlo techniques, etc)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008
